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

the ratio of grapes to blueberries she should use is 12: 3

step-by-step explanation:

if mandie is making 15 cups of fruit salad, the ratio of grapes to blueberries she should use is 12: 3.