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The water usage at a car wash is modeled by the equation W(x) = 4x3 + 6x2 − 11x + 7, where W is the amount of water in cubic feet and x is the number of hours the car wash is open. The owners of the car wash want to cut back their water usage during a drought and decide to close the car wash early two days a week. The amount of decrease in water used is modeled by D(x) = x3 + 2x2 + 15, where D is the amount of water in cubic feet and x is time in hours.

Write a function, C(x), to model the water used by the car wash on a shorter day.

C(x) = 4x3 + 4x2 − 11x + 8
C(x) = 3x3 + 4x2 − 11x − 8
C(x) = 3x3 + 4x2 − 11x + 8
C(x) = 4x3 + 4x2 − 11x − 8

Respuesta :

fussellk

Answer:

C(x) = 3x3 + 4x2 − 11x − 8

Step-by-step explanation:

you are subtracting the new from the orgininal

abidemiokin

The function that can be used to model the water used by the car wash on a shorter day is C(x) = [tex]3x^3 + 4x^2 -11x- 8[/tex]

Difference in polynomial

Polynomial functions are function that has a degree of 3 and above.

Given the following polynomial functions

[tex]W(x) = 4x^3 + 6x^2 − 11x + 7[/tex] (water usage)

If the amount is decreased by D(x) = x^3 + 2x2 + 15, the function that ca be used to model the water used by the car wash on a shorter day is expresed as:

[tex]C(x) = 4x3 + 6x2 − 11x + 7 - (x^3 + 2x^2 + 15)\\C(x) = 4x^3 +6x^2- 11x + 7 - x^3 - 2x^2 - 15\\C(x) = 3x^3 + 4x^2 -11x- 8[/tex]

Hence the function that can be used to model the water used by the car wash on a shorter day is C(x) = [tex]3x^3 + 4x^2 -11x- 8[/tex]

Learn more on polynomials here: https://brainly.com/question/2833285

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