What does the question mean? For the blank

Absolute value.

Step-by-step explanation:

We have the expression:

The square root and the square will cancel. This yields:

We need the absolute value because any value squared is positive. The square root of a positive value will also be positive.

In other words, if we only simplified the expression down to s without the absolute value, if s was originally negative, our simplification will have also been negative.

For instance, say s = -7, then:

However, if we let √s² = s, then s = -7. By having the absolute value, we have that |s| = |-7| = 7, which is the correct statement.

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.

(2,20) means that the 2 is 2 hours and 20 is 20$. so there both 20$ for 2 hours only the same price. like it says. so, the dunk tank and the bounce house are the same price (20$) for the same amount of time (2 hours).

hope i