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Elanso [62]
3 years ago
12

Ab" that goes through points (0,9) Write an exponential function in the form y and (5,2187)

Mathematics
1 answer:
klasskru [66]3 years ago
4 0

9514 1404 393

Answer:

  y = 9(3^x)

Step-by-step explanation:

We assume you want a function in the form ...

  y = a(b^x)

that passes through points (0, 9) and (5, 2187).

Filling in the given point values, we have ...

  9 = a(b^0) = a

  2187 = a(b^5) = 9(b^5) . . . . using the above value of 'a'

Dividing the second equation by 9 and taking the 5th root, we find b.

  (2187/9) = b^5

  243^(1/5) = b = 3

The exponential function is ...

  y = 9(3^x)

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Volgvan

Answer:

f(d(x)) = \frac{9}{5}|x^{100}| + 32

Step-by-step explanation:

The function d(x) takes a value of x in degrees centigrade and provides the number of degrees that a container of water at that temperature x is far from the boiling point of water.

The function f(d) takes a value d in degrees centigrade and returns a value d(x) in degrees fahrenheit.

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So the range of d(x) now is the domain of f(d(x))

This means that the function f(d(x)) shows the <em>number of degrees Fahrenheit</em> that a water container at a<em> temperature x in degrees Celsius</em> is far from the boiling point of water.

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6 0
3 years ago
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Dominik [7]

Answer:

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Step-by-step explanation:

Given

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Required

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C is calculated as follows:

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8 0
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