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maksim [4K]
3 years ago
9

La empresa González se dedica a la fabricación y venta de mesas para jugar domino. Luego de un estudio, determinaron que el cost

o variable por fabricar una mesa es de $6 y los costos fijos de fabricación son de $524.
-Presumiendo que el costo total de fabricar una mesa presenta un modelo lineal, determinar el costo total C por fabricar x mesas al día.
-que significa la pendiente?
-cual es el costo total para la empresa González por fabricar 345 mesas?
Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
4 0

Answer:

  • Total cost/Costo total: TC=524+6x
  • Slope/pendiente: change in total cost when we produce an additional unit /cambio en el costo total cuando se incrementa la produccion en una unidad.
  • Total cost if 345 tables are made/costo total por elaborar 345 mesas: TC=524+6\times{345}=2594.

Step-by-step explanation:

  • Total cost/Costo total: 524+6x. Total amount of money spent when producing x amount of tables, equals a fixed amount that must be paid and an extra of $6 for every additional table produced./ Cantidad de dinero gastado cuando se produce una cantidad x de mesas, es equivalente a $524 de costos fijos mas $6 adicionales por cada mesa producida.
  • Slope/pendiente: change in total cost when we produce an additional unit. It is the coefficient that is linkes the extra amount of money spent when producing an extra unit of x (tables). /Cambio en el costo total cuando se incrementa la produccion en una unidad. El el coeficiente que vincula el cambio en el costo total con el cambio en las cantidades producidas.
  • Total cost if 345 tables are made/costo total por elaborar 345 mesas: TC=524+6\times{345}=2594. (Is the result of replacing in the equation x=345, which means to evaluate the total costo when we produce 345 tables/Es el resultado de remplazar en la ecuacion x=345, lo que resulta en saber el costo total de producir 345 mesas).
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Quadratic Function is a function that takes the equation form of:

\large \boxed{y = a {x}^{2}  + bx + c}

where a ≠ 0. However the form of Quadratic Function above can also be called "standard form" or general form because it is commonly used when defining the function. Quadratic Functions also have other two forms which are intercept form and vertex form.

<u>Vertex</u><u> </u><u>Form</u>

\large \boxed{y = a {(x - h)}^{2}  + k}

<u>Intercept</u><u> </u><u>Form</u>

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The intercept form can be expressed as y = (x-a)(x-b) depending on the other perspective.

If you look at all four functions, you will notice that only two of functions have the second degree as highest degree while the third function has third degree as highest and fourth function has fourth degree. Recall the definition of Quadratic Function above that the highest degree of Quadratic Function can only be second degree (squared, x² as example). Therefore we can rule out the x³ and -2x⁴ away.

So our only quadratic functions are:

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Answer

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  • -x²-4 is in standard form.
  • (x-1)²-7 is in vertex form.

Hope this helps and let me know if you have any doubts.

<em>Als</em><em>o</em><em> </em><em>let</em><em> </em><em>me</em><em> </em><em>know</em><em> </em><em>if</em><em> </em><em>you</em><em> </em><em>want</em><em> </em><em>me </em><em>t</em><em>o</em><em> </em><em>convert</em><em> </em><em>the</em><em> </em><em>function</em><em> </em><em>into</em><em> </em><em>other</em><em> </em><em>form</em><em>.</em><em> </em><em>For</em><em> </em><em>ex</em><em>.</em><em> </em><em>convert</em><em> </em><em>the</em><em> </em><em>vertex</em><em> </em><em>form</em><em> </em><em>to</em><em> </em><em>standard</em><em> </em><em>form</em><em>.</em><em> </em>

Happy Learning and Good Luck with your assignment!

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