Sophia has scored 18,24, and 32 points in her last three basketball games. how many points must she score in the next game so that her four-game average is at least 24 points?

(18 + 24 + 32 + x)/4 >/= 24.

(we use the inequality because her average must be AT LEAST 24 points).

Finding for x

(74 + x) >/= 24 x 4 ==> 74 + x >/= 96

x = 22.

So, Sophia must score at least 22 points in her last game so that her four-game average is at least 24 points.

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.