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Studentka2010 [4]
3 years ago
11

Solve the absolute value inequality.

Mathematics
1 answer:
Alex Ar [27]3 years ago
4 0

Answer: k ≤ -4 or k ≥ \frac{4}{3}

<u>Explanation:</u>

                      | 3k + 4 | ≥ 8

3k + 4 ≥ 8             or                3k + 4 ≤ -8

<u>       -4</u>  <u> -4  </u>                              <u>       -4</u>    <u>-4 </u>

3k       ≥ 4              or                3k       ≤ -12

<u>÷3       </u> <u>÷3  </u>                              <u> ÷3       </u>   <u>÷3 </u>

k        ≥ \frac{4}{3}            or                 k       ≤  -4

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Answer:

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Step-by-step explanation:

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4 0
2 years ago
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The top of a cylinder is sliced off by a plane. Determine volume of the bottom portion of the cylinder.
notka56 [123]

Answer:

Volume of bottom of cylinder = Volume of entire cylinder - Volume of top of cylinder

Step-by-step explanation:

Here we have the volume of a cylinder given by

Volume of a cylinder = πr²h

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Volume of bottom of cylinder = π·r²·h - π·r²b

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3 years ago
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The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.
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2 years ago
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What are two solutions of 3 + 4 |x/2 + 3| = 11?
Alex
3 + 4abs(x/2 + 3) = 11 Subtract 3
4 abs(x/2 + 3) = 11 - 3
4 abs(x/2 + 3) = 8 Divide by 4
abs(x/2 + 3) = 8/4
abs(x/2 + 3) = 2

Solution 1
x/2 + 3 = 2 Subtract 3
x/2 = 2 - 3
x/2 = - 1 Multiply by 2
x/2 *2 = - 2
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Solution 2
x/2 + 3 = - 2
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x = -5 * 2
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Solutions
x = - 2 <<<< answer 1
x = -10 <<<< answer 2

3 0
4 years ago
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