231:@0.916858:0.966074:0.945034:0.966074:0.945034:0.949450:0.916858:0.949450:0.000000:0.000000:0.000000 3. :@0.095515:0.068220:0.114256:0.068220:0.114256:0.051084:0.095515:0.051084:0.000000:0.000000:0.000000 Grafica:@0.124004:0.068220:0.180024:0.068220:0.180024:0.051319:0.124004:0.051319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 en tu cuaderno las siguientes funciones :@0.180024:0.068220:0.488950:0.068220:0.488950:0.052550:0.180024:0.052550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y :@0.124004:0.084816:0.136148:0.084816:0.136148:0.069147:0.124004:0.069147:0.000000:0.000000 completa:@0.136148:0.084816:0.211130:0.084816:0.211130:0.067916:0.136148:0.067916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 lo requerido.:@0.211130:0.084816:0.307912:0.084816:0.307912:0.069147:0.211130:0.069147:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.124004:0.114579:0.143242:0.114579:0.143242:0.097443:0.124004:0.097443:0.000000:0.000000:0.000000 =−:@0.186685:0.113541:0.210567:0.113541:0.210567:0.097968:0.186685:0.097968:0.000000:0.000000 fx:@0.155118:0.112863:0.176973:0.112863:0.176973:0.096502:0.155118:0.096502:0.000000:0.000000 x:@0.221034:0.112863:0.228497:0.112863:0.228497:0.096502:0.221034:0.096502:0.000000 ():@0.162342:0.112863:0.183920:0.112863:0.183920:0.097193:0.162342:0.097193:0.000000:0.000000 7:@0.210401:0.112863:0.219394:0.112863:0.219394:0.097193:0.210401:0.097193:0.000000 Tipo de función: m = b = :@0.095515:0.144336:0.473980:0.144336:0.473980:0.128666:0.095515:0.128666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.450429:0.144336:0.461873:0.144336:0.461873:0.127435:0.450429:0.127435:0.000000:0.000000:0.000000 b) :@0.124004:0.174098:0.144385:0.174098:0.144385:0.156963:0.124004:0.156963:0.000000:0.000000:0.000000 =:@0.186685:0.175940:0.196801:0.175940:0.196801:0.160367:0.186685:0.160367:0.000000 −:@0.223171:0.175940:0.233288:0.175940:0.233288:0.160367:0.223171:0.160367:0.000000 fx:@0.155118:0.175263:0.176973:0.175263:0.176973:0.158901:0.155118:0.158901:0.000000:0.000000 x:@0.211820:0.175263:0.219283:0.175263:0.219283:0.158901:0.211820:0.158901:0.000000 () 4:@0.162342:0.175263:0.209813:0.175263:0.209813:0.159593:0.162342:0.159593:0.000000:0.000000:0.000000:0.000000 5:@0.236054:0.175263:0.245047:0.175263:0.245047:0.159593:0.236054:0.159593:0.000000 :@0.095515:0.203854:0.099551:0.203854:0.099551:0.188184:0.095515:0.188184:0.000000 Tipo de función: = = :@0.124004:0.203854:0.468048:0.203854:0.468048:0.188184:0.124004:0.188184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m:@0.342906:0.203854:0.357537:0.203854:0.357537:0.187492:0.342906:0.187492:0.000000 b :@0.408877:0.203854:0.424780:0.203854:0.424780:0.187492:0.408877:0.187492:0.000000:0.000000:0.000000 c) :@0.124004:0.233617:0.141823:0.233617:0.141823:0.216481:0.124004:0.216481:0.000000:0.000000:0.000000 =− +:@0.186685:0.233857:0.234080:0.233857:0.234080:0.218284:0.186685:0.218284:0.000000:0.000000:0.000000:0.000000 fx:@0.155118:0.233179:0.176973:0.233179:0.176973:0.216818:0.155118:0.216818:0.000000:0.000000 x:@0.212594:0.233179:0.220057:0.233179:0.220057:0.216818:0.212594:0.216818:0.000000 ():@0.162342:0.233179:0.183920:0.233179:0.183920:0.217509:0.162342:0.217509:0.000000:0.000000 8 :@0.236845:0.233179:0.253699:0.233613:0.253699:0.217943:0.236845:0.217509:0.000000:0.000000:0.000000 :@0.095516:0.263376:0.099552:0.263376:0.099552:0.247706:0.095516:0.247706:0.000000 Tipo de función: = = :@0.124005:0.263376:0.468768:0.263376:0.468768:0.247706:0.124005:0.247706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m:@0.338872:0.263376:0.356820:0.263376:0.356820:0.247014:0.338872:0.247014:0.000000:0.000000 b:@0.412195:0.263376:0.421464:0.263376:0.421464:0.247014:0.412195:0.247014:0.000000 d) :@0.124005:0.293138:0.144497:0.293138:0.144497:0.276003:0.124005:0.276003:0.000000:0.000000:0.000000 =:@0.186685:0.295380:0.196801:0.295380:0.196801:0.279807:0.186685:0.279807:0.000000 fx:@0.155118:0.294703:0.176973:0.294703:0.176973:0.278341:0.155118:0.278341:0.000000:0.000000 x:@0.203011:0.285741:0.210475:0.285741:0.210475:0.269379:0.203011:0.269379:0.000000 ():@0.162342:0.294703:0.183920:0.294703:0.183920:0.279033:0.162342:0.279033:0.000000:0.000000 4:@0.202286:0.305193:0.211279:0.305193:0.211279:0.289524:0.202286:0.289524:0.000000 :@0.095515:0.322891:0.099551:0.322891:0.099551:0.307221:0.095515:0.307221:0.000000 Tipo de función: = = :@0.124004:0.322891:0.469485:0.322891:0.469485:0.307221:0.124004:0.307221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m:@0.342906:0.322891:0.357537:0.322891:0.357537:0.306530:0.342906:0.306530:0.000000 b:@0.412912:0.322891:0.422181:0.322891:0.422181:0.306530:0.412912:0.306530:0.000000 4. :@0.095515:0.360192:0.114256:0.360192:0.114256:0.343056:0.095515:0.343056:0.000000:0.000000:0.000000 Deduce:@0.124004:0.360192:0.184907:0.360192:0.184907:0.343291:0.124004:0.343291:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la expresión algebraica de las funciones :@0.184907:0.360192:0.488906:0.360192:0.488906:0.344522:0.184907:0.344522:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a partir de su gráfica.:@0.124004:0.376788:0.275956:0.376788:0.275956:0.361118:0.124004:0.361118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.124004:0.406551:0.318194:0.406551:0.318194:0.389415:0.124004:0.389415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b) :@0.124004:0.548892:0.148107:0.548892:0.148107:0.531757:0.124004:0.531757:0.000000:0.000000:0.000000:0.000000 :@0.095515:0.572611:0.099237:0.572611:0.099237:0.555476:0.095515:0.555476:0.000000 5. :@0.095515:0.697264:0.114256:0.697264:0.114256:0.680128:0.095515:0.680128:0.000000:0.000000:0.000000 El costo de producción de un tamal es de $ 0,50 :@0.124004:0.697264:0.488889:0.697264:0.488889:0.681594:0.124004:0.681594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y se vende a $ 0,75. :@0.124004:0.713860:0.283053:0.713860:0.283053:0.698191:0.124004:0.698191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Construye:@0.285891:0.713860:0.367046:0.713860:0.367046:0.696960:0.285891:0.696960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la función que :@0.367046:0.713860:0.488926:0.713860:0.488926:0.698191:0.367046:0.698191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 describe el beneficio que se obtiene por la venta :@0.124004:0.730457:0.488991:0.730457:0.488991:0.714787:0.124004:0.714787:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de tamales.:@0.124004:0.747053:0.207240:0.747053:0.207240:0.731383:0.124004:0.731383:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.128758:0.773248:0.147997:0.773248:0.147997:0.756112:0.128758:0.756112:0.000000:0.000000:0.000000 ¿Cuánto ganarías vendiendo 200 tamales :@0.162002:0.773248:0.488963:0.773248:0.488963:0.757578:0.162002:0.757578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 diarios?:@0.162002:0.789844:0.217358:0.789844:0.217358:0.774174:0.162002:0.774174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b) :@0.128758:0.816039:0.149139:0.816039:0.149139:0.798903:0.128758:0.798903:0.000000:0.000000:0.000000 Grafica:@0.162002:0.816039:0.218022:0.816039:0.218022:0.799138:0.162002:0.799138:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la función beneficio construida.:@0.218022:0.816039:0.452532:0.816039:0.452532:0.800369:0.218022:0.800369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 6. :@0.095515:0.845801:0.114256:0.845801:0.114256:0.828666:0.095515:0.828666:0.000000:0.000000:0.000000 El gráfico muestra los beneficios que obtiene un :@0.124004:0.845801:0.488934:0.845801:0.488934:0.830132:0.124004:0.830132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 banco a través de dos tipos de hipotecas con :@0.124004:0.862398:0.488906:0.862398:0.488906:0.846728:0.124004:0.846728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 intereses diferentes, en función de su duración en :@0.124004:0.878994:0.488961:0.878994:0.488961:0.863324:0.124004:0.863324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 años (variable ).:@0.124004:0.895591:0.248960:0.895591:0.248960:0.879921:0.124004:0.879921:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.229371:0.895591:0.236834:0.895591:0.236834:0.879229:0.229371:0.879229:0.000000 a) :@0.543251:0.260572:0.562489:0.260572:0.562489:0.243436:0.543251:0.243436:0.000000:0.000000:0.000000 ¿Qué hipoteca selecciona el banquero si un :@0.571740:0.260572:0.908229:0.260572:0.908229:0.244902:0.571740:0.244902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cliente la desea por menos de 3 años?:@0.571740:0.277168:0.850605:0.277168:0.850605:0.261498:0.571740:0.261498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b) :@0.543251:0.309448:0.563632:0.309448:0.563632:0.292312:0.543251:0.292312:0.000000:0.000000:0.000000 ¿Cuál escoge si solicita una hipoteca con :@0.571740:0.309448:0.908208:0.309448:0.908208:0.293778:0.571740:0.293778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5 años de duración?:@0.571740:0.326045:0.719106:0.326045:0.719106:0.310375:0.571740:0.310375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 7. :@0.514762:0.355807:0.533503:0.355807:0.533503:0.338672:0.514762:0.338672:0.000000:0.000000:0.000000 Halla:@0.543251:0.355807:0.583829:0.355807:0.583829:0.338907:0.543251:0.338907:0.000000:0.000000:0.000000:0.000000:0.000000 la expresión algebraica de las funciones :@0.583829:0.355807:0.908173:0.355807:0.908173:0.340138:0.583829:0.340138:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 lineales o afines de acuerdo con las condiciones :@0.543251:0.372404:0.908229:0.372404:0.908229:0.356734:0.543251:0.356734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 indicadas.:@0.543251:0.389000:0.615708:0.389000:0.615708:0.373330:0.543251:0.373330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.543251:0.421280:0.562489:0.421280:0.562489:0.404144:0.543251:0.404144:0.000000:0.000000:0.000000 Pasa por los puntos P (–1; –5) y P (2; 1). :@0.571740:0.421280:0.859096:0.421280:0.859096:0.405610:0.571740:0.405610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.727524:0.424444:0.732767:0.424444:0.732767:0.415308:0.727524:0.415308:0.000000 2:@0.811618:0.424444:0.816860:0.424444:0.816860:0.415308:0.811618:0.415308:0.000000 b) :@0.543246:0.453560:0.563627:0.453560:0.563627:0.436424:0.543246:0.436424:0.000000:0.000000:0.000000 Pasa por el origen y el punto P(–3; 1). :@0.571735:0.453560:0.845474:0.453560:0.845474:0.437890:0.571735:0.437890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 8. :@0.514757:0.489436:0.533498:0.489436:0.533498:0.472300:0.514757:0.472300:0.000000:0.000000:0.000000 Determina:@0.543246:0.489436:0.628013:0.489436:0.628013:0.472535:0.543246:0.472535:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 , sin hacer la gráfica, si los puntos :@0.628013:0.489436:0.908224:0.489436:0.908224:0.473766:0.628013:0.473766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 P (–2; 10) , P (2; 2), P (1; –4) , P (0; 6) son parte de :@0.543246:0.506032:0.908185:0.506032:0.908185:0.490362:0.543246:0.490362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.552683:0.509196:0.557925:0.509196:0.557925:0.500060:0.552683:0.500060:0.000000 2:@0.635217:0.509196:0.640459:0.509196:0.640459:0.500060:0.635217:0.500060:0.000000 3:@0.693145:0.509196:0.698387:0.509196:0.698387:0.500060:0.693145:0.500060:0.000000 4:@0.764920:0.509196:0.770163:0.509196:0.770163:0.500060:0.764920:0.500060:0.000000 la recta que corresponde a la función ( )= –2 +6.:@0.543244:0.522629:0.904149:0.522629:0.904149:0.506959:0.543244:0.506959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.815457:0.522629:0.832503:0.522629:0.832503:0.506267:0.815457:0.506267:0.000000:0.000000:0.000000 x:@0.870040:0.522629:0.877503:0.522629:0.877503:0.506267:0.870040:0.506267:0.000000 9. :@0.514755:0.561022:0.533496:0.561022:0.533496:0.543886:0.514755:0.543886:0.000000:0.000000:0.000000 Señala:@0.543244:0.561022:0.596426:0.561022:0.596426:0.544121:0.543244:0.544121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 , sin hacer las gráficas, qué grupo de rectas :@0.596426:0.561022:0.908183:0.561022:0.908183:0.545352:0.596426:0.545352:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 son paralelas.:@0.543244:0.577618:0.641167:0.577618:0.641167:0.561948:0.543244:0.561948:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.543244:0.601337:0.562483:0.601337:0.562483:0.584201:0.543244:0.584201:0.000000:0.000000:0.000000 =−:@0.605925:0.602652:0.629807:0.602652:0.629807:0.587079:0.605925:0.587079:0.000000:0.000000 =:@0.608173:0.623397:0.618290:0.623397:0.618290:0.607825:0.608173:0.607825:0.000000 +:@0.642780:0.623397:0.652897:0.623397:0.652897:0.607825:0.642780:0.607825:0.000000 =−:@0.607810:0.644143:0.631692:0.644143:0.631692:0.628570:0.607810:0.628570:0.000000:0.000000 +:@0.652736:0.644143:0.662853:0.644143:0.662853:0.628570:0.652736:0.628570:0.000000 fx:@0.574357:0.601974:0.596212:0.601974:0.596212:0.585613:0.574357:0.585613:0.000000:0.000000 x:@0.639480:0.601974:0.646943:0.601974:0.646943:0.585613:0.639480:0.585613:0.000000 gx:@0.575094:0.622720:0.598479:0.622720:0.598479:0.606359:0.575094:0.606359:0.000000:0.000000 x:@0.631427:0.622720:0.638890:0.622720:0.638890:0.606359:0.631427:0.606359:0.000000 hx:@0.574724:0.643465:0.598108:0.643465:0.598108:0.627104:0.574724:0.627104:0.000000:0.000000 x:@0.641358:0.643465:0.648821:0.643465:0.648821:0.627104:0.641358:0.627104:0.000000 ():@0.581582:0.601974:0.603161:0.601974:0.603161:0.586305:0.581582:0.586305:0.000000:0.000000 5:@0.629641:0.601974:0.638634:0.601974:0.638634:0.586305:0.629641:0.586305:0.000000 () 5:@0.583830:0.622720:0.630571:0.622720:0.630571:0.607050:0.583830:0.607050:0.000000:0.000000:0.000000:0.000000 3:@0.655651:0.622720:0.664644:0.622720:0.664644:0.607050:0.655651:0.607050:0.000000 ():@0.583470:0.643465:0.605049:0.643465:0.605049:0.627796:0.583470:0.627796:0.000000:0.000000 5:@0.631529:0.643465:0.640522:0.643465:0.640522:0.627796:0.631529:0.627796:0.000000 4:@0.666339:0.643465:0.675332:0.643465:0.675332:0.627796:0.666339:0.627796:0.000000 :@0.678955:0.601346:0.749681:0.601346:0.749681:0.584210:0.678955:0.584210:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b) :@0.543254:0.672516:0.571080:0.672516:0.571080:0.655381:0.543254:0.655381:0.000000:0.000000:0.000000:0.000000:0.000000 =:@0.605258:0.672567:0.615375:0.672567:0.615375:0.656994:0.605258:0.656994:0.000000 −:@0.640289:0.672567:0.650406:0.672567:0.650406:0.656994:0.640289:0.656994:0.000000 =:@0.607506:0.693312:0.617623:0.693312:0.617623:0.677739:0.607506:0.677739:0.000000 =− +:@0.607143:0.714058:0.652696:0.714058:0.652696:0.698485:0.607143:0.698485:0.000000:0.000000:0.000000:0.000000 fx:@0.573678:0.671889:0.595533:0.671889:0.595533:0.655528:0.573678:0.655528:0.000000:0.000000 x:@0.628906:0.671889:0.636369:0.671889:0.636369:0.655528:0.628906:0.655528:0.000000 gx:@0.574424:0.692635:0.597808:0.692635:0.597808:0.676273:0.574424:0.676273:0.000000:0.000000 x:@0.631181:0.692635:0.638644:0.692635:0.638644:0.676273:0.631181:0.676273:0.000000 hx:@0.574074:0.713380:0.597458:0.713380:0.597458:0.697019:0.574074:0.697019:0.000000:0.000000 x:@0.665733:0.713380:0.673196:0.713380:0.673196:0.697019:0.665733:0.697019:0.000000 () 2:@0.580929:0.671889:0.627653:0.671889:0.627653:0.656219:0.580929:0.656219:0.000000:0.000000:0.000000:0.000000 3:@0.653157:0.671889:0.662149:0.671889:0.662149:0.656219:0.653157:0.656219:0.000000 () 2:@0.583165:0.692635:0.629898:0.692635:0.629898:0.676965:0.583165:0.676965:0.000000:0.000000:0.000000:0.000000 ():@0.582797:0.713380:0.604375:0.713380:0.604375:0.697710:0.582797:0.697710:0.000000:0.000000 62:@0.630858:0.713380:0.664451:0.713380:0.664451:0.697710:0.630858:0.697710:0.000000:0.000000 Trabajo colaborativo:@0.526817:0.745650:0.690766:0.745650:0.690766:0.728749:0.526817:0.728749:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 10. :@0.523979:0.766879:0.552947:0.766879:0.552947:0.749744:0.523979:0.749744:0.000000:0.000000:0.000000:0.000000 Trabajen :@0.552468:0.766879:0.625958:0.766879:0.625958:0.749979:0.552468:0.749979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 en parejas y :@0.625958:0.766879:0.716879:0.766879:0.716879:0.751210:0.625958:0.751210:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 resuelvan :@0.716879:0.766879:0.801370:0.766879:0.801370:0.749979:0.716879:0.749979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 .:@0.794349:0.766879:0.797556:0.766879:0.797556:0.751210:0.794349:0.751210:0.000000 Formulen:@0.552468:0.787044:0.629182:0.787044:0.629182:0.770143:0.552468:0.770143:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.629182:0.787044:0.632905:0.787044:0.632905:0.769908:0.629182:0.769908:0.000000 las expresiones algebraicas de tres :@0.634840:0.787044:0.898187:0.787044:0.898187:0.771374:0.634840:0.771374:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 rectas que sean paralelas. :@0.552468:0.803640:0.761694:0.803640:0.761694:0.787971:0.552468:0.787971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Comprueben:@0.768180:0.803640:0.872904:0.803640:0.872904:0.786740:0.768180:0.786740:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 si :@0.872904:0.803640:0.898187:0.803640:0.898187:0.787971:0.872904:0.787971:0.000000:0.000000:0.000000:0.000000 cumplen la condición con la graficación.:@0.552468:0.820237:0.848744:0.820237:0.848744:0.804567:0.552468:0.804567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Actividad indagatoria:@0.527494:0.864153:0.699901:0.864153:0.699901:0.847252:0.527494:0.847252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 11. :@0.523863:0.885383:0.552832:0.885383:0.552832:0.868247:0.523863:0.868247:0.000000:0.000000:0.000000:0.000000 Investiga:@0.552352:0.885383:0.624994:0.885383:0.624994:0.868482:0.552352:0.868482:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cómo calcular la pendiente de una :@0.624994:0.885383:0.898053:0.885383:0.898053:0.869713:0.624994:0.869713:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 recta si se conocen dos puntos :@0.552352:0.901979:0.791027:0.901979:0.791027:0.886309:0.552352:0.886309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejemplifica:@0.792612:0.901979:0.880328:0.901979:0.880328:0.885078:0.792612:0.885078:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y :@0.880328:0.901979:0.898055:0.901979:0.898055:0.886309:0.880328:0.886309:0.000000:0.000000:0.000000 expón:@0.552352:0.918575:0.602531:0.918575:0.602531:0.901675:0.552352:0.901675:0.000000:0.000000:0.000000:0.000000:0.000000 en clase.:@0.602531:0.918575:0.668740:0.918575:0.668740:0.902906:0.602531:0.902906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.206370:0.495348:0.211706:0.495348:0.211706:0.486519:0.206370:0.486519:0.000000 1:@0.183051:0.476941:0.188387:0.476941:0.188387:0.468112:0.183051:0.468112:0.000000 0:@0.183051:0.495348:0.188387:0.495348:0.188387:0.486519:0.183051:0.486519:0.000000 -1:@0.165880:0.495348:0.174408:0.495348:0.174408:0.486519:0.165880:0.486519:0.000000:0.000000 -2:@0.148176:0.495347:0.156705:0.495347:0.156705:0.486518:0.148176:0.486518:0.000000:0.000000 2:@0.225242:0.495347:0.230577:0.495347:0.230577:0.486518:0.225242:0.486518:0.000000 2:@0.183045:0.463100:0.188381:0.463100:0.188381:0.454271:0.183045:0.454271:0.000000 3:@0.244858:0.495347:0.250194:0.495347:0.250194:0.486518:0.244858:0.486518:0.000000 3:@0.183045:0.448908:0.188381:0.448908:0.188381:0.440080:0.183045:0.440080:0.000000 4:@0.263413:0.495347:0.268749:0.495347:0.268749:0.486518:0.263413:0.486518:0.000000 4:@0.183045:0.433655:0.188381:0.433655:0.188381:0.424827:0.183045:0.424827:0.000000 5:@0.282717:0.495347:0.288053:0.495347:0.288053:0.486518:0.282717:0.486518:0.000000 5:@0.183045:0.419721:0.188381:0.419721:0.188381:0.410893:0.183045:0.410893:0.000000 6:@0.183045:0.405085:0.188381:0.405085:0.188381:0.396256:0.183045:0.396256:0.000000 2:@0.238088:0.626364:0.243673:0.626364:0.243673:0.617123:0.238088:0.617123:0.000000 2:@0.207777:0.601499:0.213362:0.601499:0.213362:0.592258:0.207777:0.592258:0.000000 0:@0.207777:0.626364:0.213362:0.626364:0.213362:0.617123:0.207777:0.617123:0.000000 -2:@0.184707:0.626364:0.193634:0.626364:0.193634:0.617123:0.184707:0.617123:0.000000:0.000000 -2:@0.204522:0.642094:0.213449:0.642094:0.213449:0.632852:0.204522:0.632852:0.000000:0.000000 -4:@0.158544:0.626364:0.167472:0.626364:0.167472:0.617123:0.158544:0.617123:0.000000:0.000000 4:@0.264098:0.626364:0.269683:0.626364:0.269683:0.617123:0.264098:0.617123:0.000000 4:@0.207538:0.581782:0.213123:0.581782:0.213123:0.572541:0.207538:0.572541:0.000000 6:@0.289946:0.626366:0.295532:0.626366:0.295532:0.617124:0.289946:0.617124:0.000000 6:@0.207715:0.561535:0.213301:0.561535:0.213301:0.552294:0.207715:0.552294:0.000000 8:@0.207781:0.541467:0.213366:0.541467:0.213366:0.532225:0.207781:0.532225:0.000000 0:@0.561236:0.216136:0.567776:0.216136:0.567776:0.204740:0.561236:0.204740:0.000000 1:@0.562657:0.191131:0.569197:0.191131:0.569197:0.179735:0.562657:0.179735:0.000000 1:@0.595894:0.216136:0.602434:0.216136:0.602434:0.204740:0.595894:0.204740:0.000000 5:@0.702211:0.216136:0.708751:0.216136:0.708751:0.204740:0.702211:0.204740:0.000000 3:@0.649528:0.216136:0.656068:0.216136:0.656068:0.204740:0.649528:0.204740:0.000000 7:@0.757521:0.216136:0.764061:0.216136:0.764061:0.204740:0.757521:0.204740:0.000000 9:@0.811008:0.216136:0.817548:0.216136:0.817548:0.204740:0.811008:0.204740:0.000000 2:@0.622711:0.216136:0.629251:0.216136:0.629251:0.204740:0.622711:0.204740:0.000000 6:@0.730704:0.216136:0.737244:0.216136:0.737244:0.204740:0.730704:0.204740:0.000000 4:@0.676345:0.216136:0.682885:0.216136:0.682885:0.204740:0.676345:0.204740:0.000000 8:@0.784338:0.216136:0.790878:0.216136:0.790878:0.204740:0.784338:0.204740:0.000000 10:@0.835868:0.216136:0.848949:0.216136:0.848949:0.204740:0.835868:0.204740:0.000000:0.000000 (3, 33; 2, 33):@0.621625:0.148584:0.683770:0.148584:0.683770:0.137188:0.621625:0.137188:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.562657:0.149791:0.569197:0.149791:0.569197:0.138395:0.562657:0.138395:0.000000 6:@0.562657:0.087419:0.569197:0.087419:0.569197:0.076023:0.562657:0.076023:0.000000 y:@0.583019:0.083367:0.587780:0.083367:0.587780:0.072955:0.583019:0.072955:0.000000 f:@0.829556:0.101731:0.832974:0.101731:0.832974:0.089832:0.829556:0.089832:0.000000 g:@0.827894:0.163741:0.834635:0.163741:0.834635:0.151842:0.827894:0.151842:0.000000 x:@0.847173:0.201187:0.851922:0.201187:0.851922:0.190775:0.847173:0.190775:0.000000 2:@0.562660:0.170516:0.569200:0.170516:0.569200:0.159120:0.562660:0.159120:0.000000 5:@0.562660:0.108144:0.569200:0.108144:0.569200:0.096748:0.562660:0.096748:0.000000 4:@0.562660:0.129176:0.569200:0.129176:0.569200:0.117780:0.562660:0.117780:0.000000 lineal:@0.294131:0.199683:0.318851:0.199683:0.318851:0.189712:0.294131:0.189712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( )= 2 – 3:@0.571232:0.434259:0.624507:0.434259:0.624507:0.424288:0.571232:0.424288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.573801:0.434259:0.584648:0.434259:0.584648:0.423847:0.573801:0.423847:0.000000:0.000000:0.000000 x:@0.603035:0.434259:0.607785:0.434259:0.607785:0.423847:0.603035:0.423847:0.000000 ( )= –1/3:@0.571232:0.466225:0.618737:0.466225:0.618737:0.456253:0.571232:0.456253:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.573801:0.466225:0.584648:0.466225:0.584648:0.455813:0.573801:0.455813:0.000000:0.000000:0.000000 x:@0.618737:0.466225:0.623487:0.466225:0.623487:0.455813:0.618737:0.455813:0.000000 afín:@0.297930:0.257929:0.315063:0.257929:0.315063:0.247957:0.297930:0.247957:0.000000:0.000000:0.000000:0.000000 lineal:@0.292466:0.320470:0.317186:0.320470:0.317186:0.310498:0.292466:0.310498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 afín:@0.296254:0.140531:0.313386:0.140531:0.313386:0.130559:0.296254:0.130559:0.000000:0.000000:0.000000:0.000000 Solo P no es parte de la recta.:@0.547052:0.538306:0.687343:0.538308:0.687343:0.528337:0.547052:0.528334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.575970:0.540322:0.579306:0.540322:0.579306:0.534508:0.575970:0.534508:0.000000 El literal b corresponde a las paralelas.:@0.700690:0.710502:0.875789:0.710502:0.875789:0.700530:0.700690:0.700530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 –7:@0.385629:0.199686:0.397333:0.199686:0.397333:0.189714:0.385629:0.189714:0.000000:0.000000 –1:@0.385629:0.259190:0.397333:0.259190:0.397333:0.249218:0.385629:0.249218:0.000000:0.000000 4:@0.393791:0.139275:0.399514:0.139275:0.399514:0.129303:0.393791:0.129303:0.000000 0:@0.454793:0.199686:0.460516:0.199686:0.460516:0.189714:0.454793:0.189714:0.000000 8:@0.454793:0.257940:0.460516:0.257940:0.460516:0.247969:0.454793:0.247969:0.000000 0:@0.454793:0.320481:0.460516:0.320481:0.460516:0.310509:0.454793:0.310509:0.000000 –5:@0.455731:0.139284:0.467435:0.139284:0.467435:0.129312:0.455731:0.129312:0.000000:0.000000 1:@0.389586:0.316825:0.396061:0.316825:0.396061:0.305542:0.389586:0.305542:0.000000 —:@0.386190:0.321634:0.399458:0.321634:0.399458:0.310352:0.386190:0.310352:0.000000 4:@0.389586:0.326444:0.396061:0.326444:0.396061:0.315162:0.389586:0.315162:0.000000 =− +:@0.351647:0.451829:0.383635:0.451829:0.383635:0.441317:0.351647:0.441317:0.000000:0.000000:0.000000:0.000000 =:@0.429135:0.451829:0.435964:0.451829:0.435964:0.441317:0.429135:0.441317:0.000000 −:@0.452495:0.451829:0.459324:0.451829:0.459324:0.441317:0.452495:0.441317:0.000000 fx:@0.330335:0.451371:0.345087:0.451371:0.345087:0.440328:0.330335:0.440328:0.000000:0.000000 x:@0.369131:0.451371:0.374169:0.451371:0.374169:0.440328:0.369131:0.440328:0.000000 f x:@0.407828:0.451371:0.422580:0.451371:0.422580:0.440328:0.407828:0.440328:0.000000:0.000000:0.000000 x:@0.444820:0.451371:0.449858:0.451371:0.449858:0.440328:0.444820:0.440328:0.000000 ():@0.335211:0.451371:0.349777:0.451371:0.349777:0.440794:0.335211:0.440794:0.000000:0.000000 5:@0.385500:0.451371:0.391571:0.451371:0.391571:0.440794:0.385500:0.440794:0.000000 ( )3:@0.412716:0.451371:0.444261:0.451371:0.444261:0.440794:0.412716:0.440794:0.000000:0.000000:0.000000:0.000000 2:@0.461190:0.451371:0.467260:0.451371:0.467260:0.440794:0.461190:0.440794:0.000000 =− +:@0.277514:0.599166:0.309507:0.599166:0.309507:0.588654:0.277514:0.588654:0.000000:0.000000:0.000000:0.000000 =:@0.355007:0.599166:0.361836:0.599166:0.361836:0.588654:0.355007:0.588654:0.000000 −:@0.378365:0.599166:0.385194:0.599166:0.385194:0.588654:0.378365:0.588654:0.000000 fx:@0.256205:0.598708:0.270957:0.598708:0.270957:0.587664:0.256205:0.587664:0.000000:0.000000 x:@0.295002:0.598708:0.300039:0.598708:0.300039:0.587664:0.295002:0.587664:0.000000 f x:@0.333698:0.598708:0.348450:0.598708:0.348450:0.587664:0.333698:0.587664:0.000000:0.000000:0.000000 x:@0.370691:0.598708:0.375728:0.598708:0.375728:0.587664:0.370691:0.587664:0.000000 ():@0.261081:0.598708:0.275647:0.598708:0.275647:0.588131:0.261081:0.588131:0.000000:0.000000 5:@0.311371:0.598708:0.317441:0.598708:0.317441:0.588131:0.311371:0.588131:0.000000 ( )3:@0.338587:0.598708:0.370123:0.598708:0.370123:0.588131:0.338587:0.588131:0.000000:0.000000:0.000000:0.000000 2:@0.387052:0.598708:0.393122:0.598708:0.393122:0.588131:0.387052:0.588131:0.000000 g n:@0.214378:0.739298:0.229107:0.739298:0.229107:0.728886:0.214378:0.728886:0.000000:0.000000:0.000000 ( ) = 0, 25 :@0.220112:0.739298:0.267042:0.739298:0.267042:0.729326:0.220112:0.729326:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.266878:0.739298:0.272929:0.739298:0.272929:0.728886:0.266878:0.728886:0.000000 n:@0.214378:0.749859:0.220429:0.749859:0.220429:0.739448:0.214378:0.739448:0.000000 : cantidad vendida:@0.220265:0.749859:0.303372:0.749859:0.303372:0.739888:0.220265:0.739888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 g:@0.214378:0.760421:0.220276:0.760421:0.220276:0.750009:0.214378:0.750009:0.000000 : función ganacia o beneficio:@0.220112:0.760421:0.349751:0.760421:0.349751:0.750449:0.220112:0.750449:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 g:@0.224826:0.784606:0.230725:0.784606:0.230725:0.774194:0.224826:0.774194:0.000000 (200) = 0, 25 · 200 = 50. :@0.230561:0.784606:0.336664:0.784606:0.336664:0.774634:0.230561:0.774634:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ganaría $ 50 diarios.:@0.224826:0.795167:0.314747:0.795167:0.314747:0.785196:0.224826:0.785196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 La hipoteca con beneficios en color verde ( ( )).:@0.574809:0.290582:0.786569:0.290582:0.786569:0.280611:0.574809:0.280611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.768288:0.290582:0.778806:0.290582:0.778806:0.280171:0.768288:0.280171:0.000000:0.000000:0.000000 La hipoteca con beneficios en color azul ( ( )).:@0.572217:0.336260:0.779510:0.336260:0.779510:0.326288:0.572217:0.326288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 g x:@0.758320:0.336260:0.771747:0.336260:0.771747:0.325848:0.758320:0.325848:0.000000:0.000000:0.000000 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000 maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000 ®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000