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Serjik [45]
3 years ago
10

HELP ME 20 POINTS + BRAINLEST GIVE ME THE CORRECT ANSWER

Mathematics
1 answer:
zavuch27 [327]3 years ago
4 0

Answer:

unit rate:2 y-intercept:6

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

To solve this, we are using the average rate of change formula:

m=\frac{f(b)-f(a)}{b-a}

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a is the first point

b is the second point

f(a) is the function evaluated at the first point

f(b) is the function evaluated at the second point

We want to know the average rate of change of the function f(x)=0.5^x-6 form x = -3 to x = 0, so our first point is -3 and our second point is 0. In other words, a=-3 and b=0.

Replacing values

m=\frac{f(b)-f(a)}{b-a}

m=\frac{0.5^0-6-(0.5^{-3}-6)}{0-(-3)}

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m=\frac{-7}{3}

m=-\frac{7}{3}

We can conclude that the average rate of change of the exponential equation form x = -3 to x = 0 is -\frac{7}{3}

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