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aev [14]
2 years ago
13

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

e nth bounce: f(n) = 9(0.7)n What does the number 9 in the function represent?
Mathematics
1 answer:
natali 33 [55]2 years ago
7 0

Answer:

9 represents the initial height from which the ball was dropped

Step-by-step explanation:

Bouncing of a ball can be expressed by a Geometric Progression. The function for the given scenario is:

f(n)=9(0.7)^{n}

The general formula for the geometric progression modelling this scenario is:

f(n)=f_{0}(r)^{n}

Here,

f_{0} represents the initial height i.e. the height from which the object was dropped.

r represents the percentage the object covers with respect to the previous bounce.

Comparing the given scenario with general equation, we can write:

f_{0} = 9

r = 0.7 = 70%

i.e. the ball was dropped from the height of 9 feet initially and it bounces back to 70% of its previous height every time.

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Step-by-step explanation:

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3 years ago
What is the counter example of when it rains it pours
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2 years ago
Jason eats 10 ounces of candy in 5 days. a. How many pounds does he eat per day?
Nadusha1986 [10]
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B. It would take him a total of 8 days to eat a pound of candy.

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8 0
3 years ago
Factor each completely. <br><br>10a² - 9a + 2 <br><br>​
Sophie [7]

Answer:

a= \frac{2}{5} or \frac{1}{2}

Step-by-step explanation:

Equate the equation to zero

10a^{2}-9a+2=0

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Write out the factors

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3 0
2 years ago
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