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Vlada [557]
3 years ago
13

What is the shortest distance, in miles, from Zoey's house to the school? Round your answer to the nearest tenth.

Mathematics
1 answer:
TiliK225 [7]3 years ago
3 0

Answer: 3 Miles

Step-by-step explanation:

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write equation that has base of 3 stretched vertically by factor of 2/3 reflected in y axis, asymptote of y=2 and passes through
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The exponential equation is y = \frac23(3)^{-x+0.74} + 2

<h3>How to determine the equation?</h3>

An exponential function is represented as:

y = b^x

The base is 3.

So, we have:

y = 3^x

It is stretched vertically by 2/3.

So, we have:

y = \frac23(3)^x

When reflected over the y-axis, we have:

y = \frac23(3)^{-x}

An asymptote of y = 2, makes the function becomes

y = \frac23(3)^{-x} + 2

Lastly, it passes through the point (0, 3.5).

So, we have:

y = \frac23(3)^{-x+h} + 2

This gives

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Subtract 2 from both sides

1.5 = \frac23(3)^{h}

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2.25 = (3)^{h}

Take the logarithm of both sides

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Substitute h = 0.74 in y = \frac23(3)^{-x+h} + 2

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Hence, the exponential equation is y = \frac23(3)^{-x+0.74} + 2

Read more about exponential equation at

brainly.com/question/23729449

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