Answer:
1.125 m
Step-by-step explanation:
Given:
Initial height of the ball,
Height after first bounce,
Height after second bounce,
So, the reduction in height after each bounce is half of the previous one. Thus, it follows a geometric sequence with the first term as 72 and common ratio of .
Therefore, the nth term of a geometric sequence is given as:
Here, . This gives,
.
Therefore, the height of the ball after sixth bounce is 1.125 m.
Answer:
-x^2 +2x +8
Step-by-step explanation:
f(x) = 2x + 1
g(x) = x^2 – 7,
(f – g)(x) = 2x +1 - ( x^2 -7)
Distribute the minus sign
= 2x+1 - x^2 +7
Combine like terms
= -x^2 +2x +8
Answer:
x=-39
Step-by-step explanation:
subtract 23 from both sides
-16 - 23= -39
therefore x=-39