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Margaret [11]
4 years ago
12

Two clocks are turned on at the same time. One clock chimes every 15 minutes. The

Mathematics
1 answer:
Kisachek [45]4 years ago
5 0

Answer:

In 75 minutes, they will chime in together.

Step-by-step explanation:

First clock- 15, 30, 45, 60, 75

Second clock- 25, 50, 75

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<h2>True </h2>

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-1(3x - 4y + 5) =<br> A) 2x - 5y + 4<br> B) -3x + 4y - 5<br> C) -3x + 4y + 5<br> D) -3x - 4y - 5
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Answer:

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Step-by-step explanation:

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3 years ago
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If you divide one of the roots of the equation 4x2+bx−27=0 by the other root, the quotient will be −3. Find b.
klio [65]
<h3>Answer:</h3>

  ±12   (two answers)

<h3>Explanation:</h3>

Suppose one root is <em>a</em>. Then the other root will be -3<em>a</em>. The product of the two roots is the ratio of the constant coefficient to the leading coefficient:

  (<em>a</em>)(-3<em>a</em>) = -27/4

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Then the other root is

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We know the opposite of the sum of these roots will be the ratio of the linear term coefficient to the leading coefficient: b/4, so ...

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_____

<em>Check</em>

For b = 12, the equation factors as ...

  4x² +12x -27 = (2x -3)(2x +9) = 0

  It has roots -9/2 and +3/2, the ratio of which is -3.

For b = -12, the equation factors as ...

  4x² -12x -27 = (2x +3)(2x -9) = 0

  It has roots 9/2 and -3/2, the ratio of which is -3.

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