Question

The volume of a box, a rectangular prism, is represented by the function f(x)=x³+7x²+4x-12 . The length of the box is (x+6) , and the width is (x+2) . Which expression represents the height of the box?

a.x-1
b.x-6
c.x+1
d.x-3

Answer 1

The expression that represents the height of the box is f(x) / ((x + 6)(x + 2)).

Step-by-step explanation:

The volume of a rectangular prism is determined by multiplying the length, width, and height of the box. In this case, the length is represented by (x + 6) and the width is represented by (x + 2). To find the height, we can divide the volume function f(x) by the product of the length and width.

So, the expression that represents the height of the box is:

Height = f(x) / ((x + 6)(x + 2))