The length of a rectangular prism is 4 more than 3 times the width, w. The volume of the prism is 3w^3 + 16w^2 + 16w. What is a simplified expression for the height of the prism?

Height = w + 4

Step-by-step explanation:

3w³ + 16w² + 16w = w (3w² + 16w + 16)

= w (3w + 4) (w + 4)

The length of a rectangular prism is 4 more than 3 times the width, w

L = 3w + 4

R prism volume = L x W x H

Height = w + 4

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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