The volume of a rectangular cardboard box is modeled by the functions v(x)=(18-2x)(3-2x)x where x is the width

The given function of volume v(x)=(18-2x)(3-2x)x is true for certain boundaries of x which is mentioned below.

Step-by-step explanation:

The equation for the volume is represented as:

                           v(x)=(18-2x)(3-2x)x

                                             18-2x > 0

                                         or, 2x < 18

                                          or, x < 9

                            or, 2x < 3

                            or, x < 1.5

This develops the boundary for x as,

                                 0 < x < 1.5

it should be a and d. lmk if i'm wrong xd

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet