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maks197457 [2]
3 years ago
15

Given y = 2x + 4, what is the new y-intercept if the y-intercept is decreased by 5? A) −1 B) −3 C) −4 D) −5

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
3 0
The new y-intercept would be A)-1 because of the 4-5 = -1
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  y = 5·4^x

Step-by-step explanation:

If you have two points, (x1, y1) and (x2, y2), whose relationship can be described by the exponential function ...

  y = a·b^x

you can find the values of 'a' and 'b' as follows.

Substitute the given points:

  y1 = a·b^(x1)

  y2 = a·b^(x1)

Divide the second equation by the first:

  y2/y1 = ((ab^(x2))/(ab^(x1)) = b^(x2 -x1)

Take the inverse power (root):

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__

For the problem at hand, (x1, y1) = (2, 80) and (x2, y2) = (5, 5120).

  b = (5120/80)^(1/(5-2)) = ∛64 = 4

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The exponential function is ...

  y = 5·4^x

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