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3 years ago

Solve for x..................

Mathematics

1 answer:

Lostsunrise [7]3 years ago

8 0

7x - 9 < 12
7x < 12 + 9
7x < 21
x < 21/7
x < 3

1/4x + 8 > 11
1/4x > 11 - 8
1/4x > 3
x > 3 * 4
x > 12

solution : x < 3 or x > 12

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Step-by-step explanation:

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fgiga [73]

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Step-by-step explanation:

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3 years ago

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Step-by-step explanation:

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3 years ago

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3 years ago

Find the average velocity of the function over the given interval.

snow_lady [41]

Answer:

Average velocity of the function over the given interval

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Step-by-step explanation:

Explanation:-

Given function y = 3/x -2 ...(i)

The average velocity of the function over the given interval

Average velocity = $\frac{1}{b-a} \int\limits^b_a {(\frac{3}{x} -2)} \, dx$

= $\frac{1}{7-4} \int\limits^7_4 {(\frac{3}{x} -2)} \, dx$

now integrating

= $\frac{1}{3}( \int\limits^7_4 {(\frac{3}{x} )} \, dx-2\int\limits^7_4 {1} \, dx )$

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log a-log b = log(a/b)

on simplification , we get

= $\frac{1}{3}( (3 (log 7) -3 log 4 ) - \frac{1}{3} (6)$

= $log(\frac{7}{4} ) -2$

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= $log(\frac{7}{4} ) -2$

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3 years ago