Farmer jim is building a new chicken coop in the shape of a rectangular prism. he needs the height of the coop to be 2 feet shorter than the width, and needs the length of the coop to be 10 feet longer than the width.

create an equation to represent the volume of the chicken coop, y, in terms of the width, x, in feet. enter the equation in the field by replacing the values of a, b, c, and d.

y=x(x²+8x-20)

Step-by-step explanation:

c=x-2

b=x

a=x+10

y=abc

y=x(x-2)(x+10)

y=(x²-2x)(x+10)

y=x³+10x²-2x²-20x

y=x³+8x²-20x

y=x(x²+8x-20)

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

i think it will be zero as slope has a formula of difference between initial and final distance divided by itz time interval