Question

One size box has a volume modeled by the function

f(x)=x ³ −500x+3000. The other size box has a volume modeled by the function g(x)=4x ³ −20x ² −240x. Write a simplified polynomial expression with terms in descending order that models the combined volume for one small box and one large box.

Answer 1

The combined volume for one small box and one large box can be found by adding the volumes of the two boxes and simplifying the expression.

Step-by-step explanation:

The combined volume for one small box and one large box can be found by adding the volumes of the two boxes. The volume of the small box is given by the function f(x) = x³ - 500x + 3000, and the volume of the large box is given by the function g(x) = 4x³ - 20x² - 240x.

To find the combined volume, we add the two functions, f(x) + g(x), and simplify the polynomial expression:

V(x) = f(x) + g(x) = (x³ - 500x + 3000) + (4x³ - 20x² - 240x) = 5x³ - 20x² - 740x + 3000.