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ryzh [129]
3 years ago
14

Find the geometric mean of four and 10

Mathematics
1 answer:
lawyer [7]3 years ago
4 0

The Geometric mean of 4 and 10 is 6.32

<u>Explanation:</u>

Given:

Two numbers are 4 and 10

Geometric mean, GM = ?

We know,

GM = \sqrt[n]{a_1 X a_2}

Where,

n = 2

Substituting the value we get"

GM = \sqrt[2]{4 X 10} \\\\GM = \sqrt[2]{40} \\\\GM = 6.32

Thus, the Geometric mean of 4 and 10 is 6.32

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Answer:

A(x) = 243

Step-by-step explanation:

Given

f(x) = x^3 - 9x

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Required

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Average rate is calculated as thus;

A(x) = \frac{f(b) - f(a)}{b - a}

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Calculating f(12)

f(12) = 12^3 - 9 * 12

f(12) = 1728 - 108

f(12) = 1620

Calculating f(6)

f(6) = 6^3 - 9 * 6

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A(x) = \frac{f(12) - f(6)}{12 - 6}

Substitute values for f(6) and f(12)

A(x) = \frac{1620 - 162}{12 - 6}

A(x) = \frac{1458}{ 6}

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