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allochka39001 [22]
3 years ago
15

What is the average rate of change of the function over the interval x = 0 to x = 6? f(x) = (2x - 1) / (3x + 5)

Mathematics
1 answer:
Sedaia [141]3 years ago
5 0

Answer:

The average rate of change of the function over the interval x = 0 to x = 6 is \frac{34}{195}.

Step-by-step explanation:

Geometrically speaking, the average rate of change (r) of the function over a given interval is determined by equation of secant line, that is:

r = \frac{f(b)-f(a)}{b-a} (1)

Where:

a, b - Lower and upper bounds.

f(a), f(b) - Function evaluated at lower and upper bounds.

If we know that f(x) = \frac{2\cdot x -1 }{3\cdot x + 5}, a = 0 and b = 6, then the average rate of change of the function over the interval is:

f(a) = \frac{2\cdot (0)-1}{3\cdot (0) +5}

f(a) = -\frac{1}{5}

f(b) = \frac{2\cdot (6)-1}{3\cdot (6)+5}

f(b) = \frac{11}{13}

r = \frac{\frac{11}{13}-\left(-\frac{1}{5} \right) }{6-0}

r = \frac{34}{195}

The average rate of change of the function over the interval x = 0 to x = 6 is \frac{34}{195}.

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The fair will be traveling to a place that uses the metric system. They received directions to their next stop, but they are in
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Answer:

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Step-by-step explanation:

Let number of miles = x

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3 years ago
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Explanation:

The area is the sum of the areas of the non-overlapping parts. The figure is called "composite" because it is composed of figures whose area formulas you know. Decompose the figure into those, find the area of each, then sum those areas to find the area of the whole.

<u>For example</u>

If the figure consists of a rectangle and semicircle, find the areas of each of those. Then add the areas together to find the total area.

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<u>For example</u>

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<em>Additional comments</em>

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