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natali 33 [55]
3 years ago
5

4 Find a formula for the exponential function passing through the points (-2, 4/9) and (3, 108)​

Mathematics
1 answer:
NemiM [27]3 years ago
3 0

9514 1404 393

Answer:

  f(x) = 4·3^x

Step-by-step explanation:

We assume the function will be of the form ...

  f(x) = a·b^x

Substituting the given values, we can find 'a' and 'b'.

  4/9 = a·b^(-2)

  108 = a·b^3

Dividing the second equation by the first gives ...

  108/(4/9) = b^(3 -(-2))

  243 = b^5

  b = 3 . . . . . . 5th root

Using the second equation, we can find 'a':

  108 = a·3^3 = 27a

  a = 108/27 = 4

The formula for the exponential function is ...

  f(x) = 4·3^x

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Answer:

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Step-by-step explanation:

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2L + 6 + 10 = 6L                     Combine the left.

2L + 16 = 6L                           Subtract 2L from both sides

16 = 6L + 2L                           Combine the right    

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7 0
3 years ago
Joe is placing tile in a small rectangular room. The room measures 8 feet by 5.5 feet. If one square foot tiles are sold in pack
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Answer:

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Step-by-step explanation:

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4 years ago
Can anyone help me on this? I'm so confused!
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Answer:

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Step-by-step explanation:

Hope this helps!! Have an amazing day!!

BTW...if yall have any questions for school (it can be any grade level or subject) just comment here and I will get to it as soon as I can!! ❤

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