Aball is dropped from a height of 5 ft and bounces to 60% of its previous height on each subsequent bounce. which statement is true regarding the vertical distance the ball has traveled when it hits the ground for the fourth time?

a) 10.88 ft vertical distance traveled total
b) 16.76 ft vertical distance traveled total
c) 18.06 ft vertical distance traveled total
d) 21.76 ft vertical distance traveled total

the answer is 16.76 ft option B

Step-by-step explanation:

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.