Aball is dropped from a certain height. the function below represents the height f(n), in feet, to which the ball bounces at the nth bounce:
f(n) = 9(0.7)n
what does the number 0.7 represent?
the ball bounces to 30% of its previous height with each bounce.
the height at which the ball bounces at the nth bounce is 0.3 feet.
the ball bounces to 70% of its previous height with each bounce.
the height from which the ball was dropped at the nth bounce is 0.7 feet.

  The ball bounces to 70% of its previous height with each bounce.

Step-by-step explanation:

In physics terminology, the number 0.7 is the coefficient of restitution. It is the ratio of the height of bounce (n+1) to the height of bounce (n).

The meaning of the number is that the ball bounces to 70% of the height of the previous bounce.

The ball bounces to 70% of its previous height with each bounce.

Step-by-step explanation:

A ball is dropped from a certain height. The function below represents the height f(n), in feet, to which the ball bounces at the nth bounce:

f(n) = 9(0.7)n

The number 0.7 represents that the ball bounces to 70% of its previous height with each bounce.

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.