Suppose a box is to be constructed from a square piece of material of side length x by cutting out a 2-inch square from each corner and turning up the sides. express the volume of the box as a polynomial in the variable x

Consider the attached figure. The central square is the "floor" of the box, and it is a (x-2)-by-(x-2) square.

The four rectangles of the side will be the "walls" of the box, and they are (x-2)-by-2 rectangles.

The volume is given by the base area multiplied by the height of the walls, so we have

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40

it has the same slope and a different y-intercept

hope this : )