Question

Can you solve these questions and explain them for me? Thank you

Answer 1

Explanation:

When folding up the box, x will be the height

(30-2x) will be the length

(25-2x) will be the width so

`v(x) = x(30 - 2x)(25 - 2x)`

b. First, we can't have negative length or zero length so x must be Positve.

Set the other binomial equal to 0.

`30 - 2x > 0`

`- 2x > - 30`

`x < 15`

`25 - 2x > 0`

`- 2x > - 25`

`x < 12.5`

So our domain is

(0,12.5), meaning our value of x must be greater than 0 and less than 12.5