The volume of a rectangular prism can be modeled by the expression 4x3 - 108. Find expressions for the dimensions of the prism by factoring, Write dimensions in box.

4(x - 3)(x^2 + 3x + 9)

Step-by-step explanation:

4x^3 - 108 = 4(x^3 - 27), or

                    4(x^3 - 3^3), or

                     4(x - 3)(x^2 + 3x + 9)    

We could choose to let 4 represent the height of the prism, x - 3 the width and x^2 + 3x + 9 the length.

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation: