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Makovka662 [10]
3 years ago
12

In a soccer game, Sally kicks the ball to a teammate who is on the other side of the field. The ball's height h (in feet above t

he ground), t seconds after Sally kicked it, is modeled by: h ( t ) = − 2 t ^2 + 10 t What is the height of the ball at the time it is kicked?
Mathematics
1 answer:
Katena32 [7]3 years ago
6 0

Answer: 0

Step-by-step explanation:

h ( t ) = − 2 t ^2 + 10 t

h = height of ball above the ground

t = time, seconds after ball was kicked

Height of ball at the time it is kicked?

At the time ball is kicked, time (t) = 0

Therefore,

h ( t ) = − 2 t ^2 + 10 t

h( 0) = - 2(0)^2 + 10(0)

h = 0 + 0

h = 0

The ball was the on the grounf at the time it was kicked.

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Weight of the solution = 250 grams

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If f(x)f(x) is an exponential function where f(-1)=5f(−1)=5 and f(7)=32f(7)=32, then find the value of f(4)f(4), to the nearest
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Using an exponential function, it is found that the value of the function when x = 4 is of f(4) = 15.95.

<h3>What is an exponential function?</h3>

It is modeled by:

y = ab^x

In which:

  • a is the initial value.
  • b is the rate of change, as a decimal.

In this problem, we have that f(-1)=5, hence:

5 = ab^{-1}

\frac{a}{b} = 5

a = 5b

We also have that f(7)=32, hence:

32 = ab^7

Since a = 5b:

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b = \sqrt[8]{\frac{32}{5}}

b = 1.2612.

a = 5b = 5 x 1.2612 = 6.306.

Hence the function is given by:

y = 6.306(1.2612)^x

Then, when x = 4, we have that:

y = 6.306(1.2612)^4 = 15.95

More can be learned about exponential functions at brainly.com/question/25537936

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