Question

Give an example of a system of linear equations that can be solved by first adding the equations to eliminate one variable.

Answer 1

f ( 7 ) = 2.4 ft

Step-by-step explanation:

Solution:-

- This is modeled using a geometric sequence function with initial height from which ball is dropped hi = 18 feet, and a decrease in height by 25% after each successive bounce :

                      f ( x ) = 18 (0.75)^x

Where,   x e [ 0 , ∞ ) : The number of bounces.

             f (x) : The maximum height after xth bounce.

- The maximum height reached by the ball after its 7th bounce. So, x = 7:

                       f ( 7 ) = 18 (0.75)^7

                       f ( 7 ) = 2.4027 ft

- To the nearest tenth:

                     f ( 7 ) = 2.4 ft