187:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000
Pensamiento numérico y variacional:@0.597716:0.043660:0.920912:0.043660:0.920912:0.024915:0.597716:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 3:@0.073089:0.136836:0.149461:0.136836:0.149461:0.120167:0.073089:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Halla la ecuación de la recta que es paralela a la recta 4:@0.073089:0.157056:0.477574:0.157056:0.477574:0.141343:0.073089:0.141343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.478711:0.157056:0.486166:0.157056:0.486166:0.140650:0.478711:0.140650:0.000000
+:@0.487270:0.157639:0.502604:0.157639:0.502604:0.139984:0.487270:0.139984:0.000000
2:@0.503708:0.157056:0.512691:0.157056:0.512691:0.141343:0.503708:0.141343:0.000000
y:@0.513795:0.157056:0.521269:0.157056:0.521269:0.140650:0.513795:0.140650:0.000000
+ =:@0.522373:0.157639:0.564231:0.157639:0.564231:0.139984:0.522373:0.139984:0.000000:0.000000:0.000000
5 0 y que pasa por el :@0.538811:0.157056:0.710366:0.157056:0.710366:0.141343:0.538811:0.141343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
punto  (3, 2). :@0.073089:0.173698:0.172209:0.173694:0.172209:0.157981:0.073089:0.157985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.121813:0.173698:0.130648:0.173698:0.130648:0.157292:0.121813:0.157292:0.000000
 :@0.193573:0.173694:0.197604:0.173694:0.197604:0.157981:0.193573:0.157981:0.000000
Primero, hallamos la pendiente de la recta dada. Para ello, despejamos  . :@0.073098:0.190336:0.599011:0.190336:0.599011:0.174623:0.073098:0.174623:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.583273:0.190336:0.590747:0.190336:0.590747:0.173930:0.583273:0.173930:0.000000
4:@0.337187:0.217698:0.346169:0.217698:0.346169:0.201985:0.337187:0.201985:0.000000
x:@0.347200:0.217698:0.354655:0.217698:0.354655:0.201292:0.347200:0.201292:0.000000
+:@0.355686:0.218280:0.371019:0.218280:0.371019:0.200626:0.355686:0.200626:0.000000
2:@0.372032:0.217698:0.381014:0.217698:0.381014:0.201985:0.372032:0.201985:0.000000
y:@0.382045:0.217698:0.389518:0.217698:0.389518:0.201292:0.382045:0.201292:0.000000
+ =:@0.390549:0.218280:0.432242:0.218280:0.432242:0.200626:0.390549:0.200626:0.000000:0.000000:0.000000
5 0 :@0.406895:0.217698:0.446268:0.217698:0.446268:0.201985:0.406895:0.201985:0.000000:0.000000:0.000000:0.000000
2:@0.348323:0.234340:0.357306:0.234340:0.357306:0.218627:0.348323:0.218627:0.000000
y:@0.358337:0.234340:0.365810:0.234340:0.365810:0.217934:0.358337:0.217934:0.000000
=–:@0.366841:0.234922:0.392390:0.234922:0.392390:0.217268:0.366841:0.217268:0.000000:0.000000
4:@0.393402:0.234340:0.402385:0.234340:0.402385:0.218627:0.393402:0.218627:0.000000
x:@0.403416:0.234340:0.410871:0.234340:0.410871:0.217934:0.403416:0.217934:0.000000
–:@0.411902:0.234922:0.421105:0.234922:0.421105:0.217268:0.411902:0.217268:0.000000
5:@0.422118:0.234340:0.431100:0.234340:0.431100:0.218627:0.422118:0.218627:0.000000
y:@0.344108:0.261702:0.351581:0.261702:0.351581:0.245296:0.344108:0.245296:0.000000
=–:@0.352612:0.262284:0.378161:0.262284:0.378161:0.244630:0.352612:0.244630:0.000000:0.000000
4:@0.384202:0.254198:0.392368:0.254198:0.392368:0.239913:0.384202:0.239913:0.000000
2:@0.383794:0.270122:0.392776:0.270122:0.392776:0.254410:0.383794:0.254410:0.000000
x:@0.398409:0.261704:0.405864:0.261704:0.405864:0.245298:0.398409:0.245298:0.000000
–:@0.406895:0.262287:0.416098:0.262287:0.416098:0.244632:0.406895:0.244632:0.000000
5:@0.422134:0.254198:0.430301:0.254198:0.430301:0.239913:0.422134:0.239913:0.000000
2:@0.421726:0.270122:0.430709:0.270122:0.430709:0.254410:0.421726:0.254410:0.000000
y:@0.349275:0.292644:0.356748:0.292644:0.356748:0.276238:0.349275:0.276238:0.000000
=–:@0.357779:0.293227:0.383329:0.293227:0.383329:0.275572:0.357779:0.275572:0.000000:0.000000
2:@0.384341:0.292644:0.393324:0.292644:0.393324:0.276931:0.384341:0.276931:0.000000
x:@0.393250:0.292644:0.400705:0.292644:0.400705:0.276238:0.393250:0.276238:0.000000
–:@0.401736:0.293227:0.410939:0.293227:0.410939:0.275572:0.401736:0.275572:0.000000
5:@0.416974:0.285134:0.425140:0.285134:0.425140:0.270850:0.416974:0.270850:0.000000
2:@0.416565:0.301058:0.425548:0.301058:0.425548:0.285346:0.416565:0.285346:0.000000
La pendiente de la recta dada es :@0.073086:0.320002:0.308406:0.320002:0.308406:0.304290:0.073086:0.304290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.307926:0.320002:0.322541:0.320002:0.322541:0.303596:0.307926:0.303596:0.000000
=–:@0.323554:0.320585:0.349066:0.320585:0.349066:0.302931:0.323554:0.302931:0.000000:0.000000
2. La recta que debemos buscar es paralela, luego :@0.350042:0.320002:0.710327:0.320002:0.710327:0.304290:0.350042:0.304290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiene la misma pendiente. :@0.073089:0.336645:0.265229:0.336645:0.265229:0.320933:0.073089:0.320933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.314057:0.336645:0.318088:0.336645:0.318088:0.320933:0.314057:0.320933:0.000000
Es decir que debemos buscar la ecuación de la recta que tiene :@0.073088:0.353287:0.527640:0.353287:0.527640:0.337575:0.073088:0.337575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.527176:0.353287:0.541792:0.353287:0.541792:0.336881:0.527176:0.336881:0.000000
=–:@0.542822:0.353870:0.568372:0.353870:0.568372:0.336215:0.542822:0.336215:0.000000:0.000000
2 y que pasa por el :@0.569384:0.353287:0.710415:0.353287:0.710415:0.337575:0.569384:0.337575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
punto  (3, 2).:@0.073069:0.369929:0.168235:0.369929:0.168235:0.354216:0.073069:0.354216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.121793:0.369929:0.130629:0.369929:0.130629:0.353523:0.121793:0.353523:0.000000
Escribimos la forma estándar de la ecuación de la recta: :@0.073069:0.397291:0.501220:0.397291:0.501220:0.381578:0.073069:0.381578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y mx b:@0.502915:0.397291:0.578735:0.397291:0.578735:0.380885:0.502915:0.380885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.511640:0.397873:0.526974:0.397873:0.526974:0.380219:0.511640:0.380219:0.000000
+:@0.552836:0.397873:0.568169:0.397873:0.568169:0.380219:0.552836:0.380219:0.000000
. Reemplazamos:  :@0.579987:0.397291:0.710365:0.397291:0.710365:0.381578:0.579987:0.381578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.073088:0.413933:0.087703:0.413933:0.087703:0.397527:0.073088:0.397527:0.000000
 por  2,   por 3; y por 2::@0.087629:0.413933:0.255430:0.413933:0.255430:0.398220:0.087629:0.398220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.120670:0.414515:0.129874:0.414515:0.129874:0.396861:0.120670:0.396861:0.000000
x:@0.145760:0.413933:0.153214:0.413933:0.153214:0.397527:0.145760:0.397527:0.000000
2:@0.342699:0.430575:0.351681:0.430575:0.351681:0.414862:0.342699:0.414862:0.000000
=–:@0.352712:0.431157:0.378262:0.431157:0.378262:0.413503:0.352712:0.413503:0.000000:0.000000
2(3):@0.379274:0.430575:0.410088:0.430575:0.410088:0.414862:0.379274:0.414862:0.000000:0.000000:0.000000:0.000000
+:@0.411118:0.431157:0.426452:0.431157:0.426452:0.413503:0.411118:0.413503:0.000000
b:@0.427464:0.430575:0.436723:0.430575:0.436723:0.414169:0.427464:0.414169:0.000000
2:@0.353633:0.447217:0.362615:0.447217:0.362615:0.431504:0.353633:0.431504:0.000000
=– +:@0.363646:0.447799:0.415555:0.447799:0.415555:0.430145:0.363646:0.430145:0.000000:0.000000:0.000000:0.000000
6:@0.390208:0.447217:0.399191:0.447217:0.399191:0.431504:0.390208:0.431504:0.000000
b:@0.416567:0.447217:0.425826:0.447217:0.425826:0.430810:0.416567:0.430810:0.000000
2 6:@0.358750:0.463858:0.394092:0.463858:0.394092:0.448146:0.358750:0.448146:0.000000:0.000000:0.000000
+ =:@0.368763:0.464441:0.410456:0.464441:0.410456:0.446787:0.368763:0.446787:0.000000:0.000000:0.000000
b:@0.411468:0.463858:0.420727:0.463858:0.420727:0.447452:0.411468:0.447452:0.000000
8:@0.371948:0.480500:0.380931:0.480500:0.380931:0.464788:0.371948:0.464788:0.000000
=:@0.381961:0.481083:0.397295:0.481083:0.397295:0.463428:0.381961:0.463428:0.000000
b:@0.398307:0.480500:0.407566:0.480500:0.407566:0.464094:0.398307:0.464094:0.000000
Luego, la ecuación que buscamos es :@0.073143:0.507862:0.342942:0.507862:0.342942:0.492149:0.073143:0.492149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.342643:0.507862:0.350117:0.507862:0.350117:0.491456:0.342643:0.491456:0.000000
=–:@0.351148:0.508445:0.376697:0.508445:0.376697:0.490790:0.351148:0.490790:0.000000:0.000000
2:@0.377709:0.507862:0.386692:0.507862:0.386692:0.492149:0.377709:0.492149:0.000000
x:@0.387723:0.507862:0.395178:0.507862:0.395178:0.491456:0.387723:0.491456:0.000000
+:@0.396209:0.508445:0.411542:0.508445:0.411542:0.490790:0.396209:0.490790:0.000000
8:@0.412554:0.507862:0.421537:0.507862:0.421537:0.492149:0.412554:0.492149:0.000000
4:@0.201204:0.583717:0.211003:0.583717:0.211003:0.566576:0.201204:0.566576:0.000000
x:@0.211003:0.583717:0.219136:0.583717:0.219136:0.565820:0.211003:0.565820:0.000000
  :@0.219136:0.584353:0.297069:0.584353:0.297069:0.565094:0.219136:0.565094:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.235863:0.583717:0.245662:0.583717:0.245662:0.566576:0.235863:0.566576:0.000000
y:@0.245662:0.583717:0.253815:0.583717:0.253815:0.565820:0.245662:0.565820:0.000000
5 0:@0.270542:0.583717:0.306868:0.583717:0.306868:0.566576:0.270542:0.566576:0.000000:0.000000:0.000000
y:@0.542976:0.600632:0.551129:0.600632:0.551129:0.582734:0.542976:0.582734:0.000000
 :@0.551129:0.601267:0.612556:0.601267:0.612556:0.582008:0.551129:0.582008:0.000000:0.000000:0.000000:0.000000
2:@0.577897:0.600632:0.587696:0.600632:0.587696:0.583490:0.577897:0.583490:0.000000
x:@0.587696:0.600632:0.595829:0.600632:0.595829:0.582734:0.587696:0.582734:0.000000
8:@0.612556:0.600632:0.622355:0.600632:0.622355:0.583490:0.612556:0.583490:0.000000
3:@0.518582:0.673963:0.525115:0.673963:0.525115:0.662535:0.518582:0.662535:0.000000
3:@0.320694:0.545145:0.327227:0.545145:0.327227:0.533717:0.320694:0.533717:0.000000
2:@0.456171:0.673963:0.462704:0.673963:0.462704:0.662535:0.456171:0.662535:0.000000
2:@0.320694:0.585166:0.327227:0.585166:0.327227:0.573739:0.320694:0.573739:0.000000
1:@0.389718:0.673963:0.396250:0.673963:0.396250:0.662535:0.389718:0.662535:0.000000
1:@0.320694:0.626861:0.327227:0.626861:0.327227:0.615434:0.320694:0.615434:0.000000
4:@0.580992:0.673963:0.587525:0.673963:0.587525:0.662535:0.580992:0.662535:0.000000
5:@0.640525:0.673963:0.647058:0.673963:0.647058:0.662535:0.640525:0.662535:0.000000
0:@0.320694:0.673963:0.327227:0.673963:0.327227:0.662535:0.320694:0.662535:0.000000
-1:@0.268939:0.673963:0.279461:0.673963:0.279461:0.662535:0.268939:0.662535:0.000000:0.000000
-1:@0.316704:0.709314:0.327227:0.709314:0.327227:0.697887:0.316704:0.697887:0.000000:0.000000
-2:@0.203182:0.673963:0.213704:0.673963:0.213704:0.662535:0.203182:0.662535:0.000000:0.000000
-2:@0.316704:0.750435:0.327227:0.750435:0.327227:0.739007:0.316704:0.739007:0.000000:0.000000
-3:@0.139660:0.673963:0.150182:0.673963:0.150182:0.662535:0.139660:0.662535:0.000000:0.000000
B:@0.524971:0.575120:0.534266:0.575120:0.534266:0.559408:0.524971:0.559408:0.000000
En la gráfica observamos la recta de la ecuación original a la izquierda y la nueva recta a :@0.073089:0.801931:0.710843:0.801931:0.710843:0.786218:0.073089:0.786218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la derecha. Las dos rectas son paralelas.:@0.073089:0.818573:0.356697:0.818573:0.356697:0.802860:0.073089:0.802860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 4:@0.073089:0.849513:0.149461:0.849513:0.149461:0.832843:0.073089:0.832843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Halla la ecuación de la recta que es perpendicular a la recta 3:@0.073089:0.869733:0.514513:0.869733:0.514513:0.854020:0.073089:0.854020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.515249:0.869733:0.547554:0.869733:0.547554:0.853326:0.515249:0.853326:0.000000:0.000000:0.000000
+ – =:@0.523735:0.870315:0.584148:0.870315:0.584148:0.852661:0.523735:0.852661:0.000000:0.000000:0.000000:0.000000:0.000000
4 0 y que pasa por :@0.558801:0.869733:0.710414:0.869733:0.710414:0.854020:0.558801:0.854020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el punto  ( 2, 3).:@0.073070:0.886374:0.203854:0.886374:0.203854:0.870662:0.073070:0.870662:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.138416:0.886374:0.148301:0.886374:0.148301:0.869968:0.138416:0.869968:0.000000
–:@0.155240:0.886957:0.164444:0.886957:0.164444:0.869303:0.155240:0.869303:0.000000
Imagina que tienes una :@0.742657:0.321293:0.901648:0.321293:0.901648:0.307009:0.742657:0.307009:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tienda de camisetas. Para :@0.742657:0.336422:0.911747:0.336422:0.911747:0.322138:0.742657:0.322138:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que tu negocio funcione, :@0.742657:0.351551:0.912783:0.351551:0.912783:0.337267:0.742657:0.337267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
necesitas entender tus :@0.742657:0.366680:0.895346:0.366680:0.895346:0.352396:0.742657:0.352396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
costos y tus ingresos::@0.742657:0.381809:0.881310:0.381809:0.881310:0.367525:0.742657:0.367525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.  Costos:  :@0.742657:0.396938:0.829355:0.396938:0.829355:0.381784:0.742657:0.381784:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
costos fijos: :@0.772778:0.412067:0.855602:0.412067:0.855602:0.396913:0.772778:0.396913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gastos :@0.855493:0.412067:0.901973:0.412067:0.901973:0.397783:0.855493:0.397783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como el alquiler. :@0.772778:0.427196:0.884593:0.427196:0.884593:0.412912:0.772778:0.412912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Costos variables: :@0.772778:0.442325:0.890883:0.442325:0.890883:0.427171:0.772778:0.427171:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gastos que cambian :@0.772778:0.457454:0.909922:0.457454:0.909922:0.443170:0.772778:0.443170:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
según cuántas :@0.772778:0.472583:0.872545:0.472583:0.872545:0.458298:0.772778:0.458298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
camisetas produces.:@0.772778:0.487712:0.906275:0.487712:0.906275:0.473427:0.772778:0.473427:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Juntas estos costos en :@0.742657:0.502841:0.893015:0.502841:0.893015:0.488556:0.742657:0.488556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un gráfico y trazas una :@0.742657:0.517970:0.894208:0.517970:0.894208:0.503685:0.742657:0.503685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
línea que muestra cuánto :@0.742657:0.533098:0.915109:0.533098:0.915109:0.518814:0.742657:0.518814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuesta operar tu negocio.:@0.742657:0.548227:0.910860:0.548227:0.910860:0.533943:0.742657:0.533943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.  Ingresos: :@0.742657:0.563356:0.838011:0.563356:0.838011:0.548202:0.742657:0.548202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lo que :@0.837922:0.563356:0.883437:0.563356:0.883437:0.549072:0.837922:0.549072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ganas al vender :@0.772778:0.578485:0.880160:0.578485:0.880160:0.564201:0.772778:0.564201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
camisetas.:@0.772778:0.593614:0.840518:0.593614:0.840518:0.579330:0.772778:0.579330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La línea de ingresos debe :@0.742657:0.608743:0.913662:0.608743:0.913662:0.594459:0.742657:0.594459:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estar por encima de la :@0.742657:0.623872:0.892425:0.623872:0.892425:0.609588:0.742657:0.609588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
línea de costos para que tu :@0.742657:0.639001:0.924162:0.639001:0.924162:0.624717:0.742657:0.624717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
negocio sea rentable. Si se :@0.742657:0.654130:0.920007:0.654130:0.920007:0.639846:0.742657:0.639846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cruzan, tus costos superan :@0.742657:0.669259:0.920246:0.669259:0.920246:0.654975:0.742657:0.654975:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tus ingresos, y necesitas :@0.742657:0.684388:0.903181:0.684388:0.903181:0.670104:0.742657:0.670104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacer ajustes.:@0.742657:0.699517:0.830981:0.699517:0.830981:0.685233:0.742657:0.685233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cátedra de :@0.737173:0.282750:0.826494:0.282750:0.826494:0.265803:0.737173:0.265803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
emprendimiento:@0.737173:0.299139:0.870892:0.299139:0.870892:0.282193:0.737173:0.282193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000