Question

The volume of a box, a rectangular prism, is represented by the function f(x) = x3 5x2 – 8x – 12. the length of the box is (x 6), and the width is (x – 2). find the expression representing the height of the box. x – 1 x – 5 x 1 x – 12

Answer 1

The expression representing the height of the box is (f(x) / ((x + 6) * (x - 2))).

Step-by-step explanation:

A mathematical expression is a combination of numbers, variables, operators, and symbols arranged in a meaningful way. It represents a mathematical statement and can be evaluated to produce a numerical result. Expressions can involve arithmetic, algebraic, or other mathematical operations.

To find the expression representing the height of the box, we need to divide the volume function by the product of the length and width.

In this case, the volume function is f(x) = x^3 - 5x^2 - 8x - 12, the length is (x + 6), and the width is (x - 2).

So the expression representing the height of the box is (f(x) / ((x + 6) * (x - 2))).