Samuel plans to install a fence around the perimeter of his yard. His yard is shaped like a square and has an area of 40,000 square feet. The company that he hires charges $2.50 pe foot for the fencing and $50.00 for the installation fee. What will be the cost of the fence, , in dollars?

$450

Step-by-step explanation:

The area of the square is 40,000 square feet so the square's side length is 20 (√40,000).

The company charges $2.50 per foot, and the perimeter is 80 (20*4), so the  cost is $400 ($2.50 * 8).

Add on the $50 installation fee and the total cost is $450 ($400 + $50).

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.