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storchak [24]
3 years ago
12

For the graphed exponential equation, calculate the average rate of change from x = −3 to x = 0.

Mathematics
1 answer:
iragen [17]3 years ago
4 0

Answer:

-\frac{7}{3}

Step-by-step explanation:

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

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

where

m is the average rate of change

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)}

m=\frac{1-6-(8-6)}{3}

m=\frac{-5-(2)}{3}

m=\frac{-5-2}{3}

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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Answer:

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Step-by-step explanation:

So we have the equation:

9-4|3+5x|=5

First, subtract 9 from both sides:

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Divide both sides by -4:

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Definition of Absolute Value:

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Subtract 3 from both sides:

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Divide both sides by 5:

x=-2/5\text{ or } x=-4/5

And we're done!

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Step-by-step explanation:

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Step-by-step explanation:

<em>simplify</em><em> </em><em>the</em><em> </em><em>expression</em><em>.</em><em> </em>

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Explanation:

It is given that the solution of an inequality is -127.

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The inequality -12 means the values of x is greater than -12 and the inequality x>7 means the value of x is greater that than 7.

When we combine both results we get x>7 it means the value of x is greater than 7.

It can also represented by number line as shown in given figure.

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