Mary decreased her time for the mile walk from 30 minutes to 24 minutes. What was the percent of decrease?
1 answer:
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Answer: C. and
Step-by-step explanation: if a function f(x) has g(x) as its inverse then it satisfies fog(x)=x and gof(x)=x
C. f(x)= and g(x)=
fog(x)=f()
=
=x
gof(x)=g()
=
=x
hence C. is the pair of inverse functions
We have been given that you drop a ball from a window 50 metres above the ground. The ball bounces to 50% of its previous height with each bounce. We are asked to find the total distance traveled by up and down from the time it was dropped from the window until the 25th bounce.
We will use sum of geometric sequence formula to solve our given problem.
, where,
a = First term of sequence,
r = Common ratio,
n = Number of terms.
For our given problem ,
and
.
Therefore, the ball will travel 100 meters and option B is the correct choice.