Aswimming pool is in the shape of a rectangular prism. it holds 1,440 cubic feet of water. if the base measures 15 feet by 12 feet, then how deep is the pool?

The pool is 8 feet deep.

Step-by-step explanation:

The formula for the volume of a rectangular prism is:

V = lwh, where l=length, w=width and h=height

Since the problem gives you the length and width of the rectangle as well as the total volume, you can plug in the values and solve for the missing variable 'h':

1440 = (15)(12)h  or 1440 = 180h

Divide both sides by 180:  

So, h = 8.  The height of the rectangular prism, or the depth of the pool, is 8 feet.  

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.

nothjing

step-by-step explanation: