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yan [13]
3 years ago
5

-6b(8b-2)-3b(4+4b) simplify equation

Mathematics
1 answer:
dybincka [34]3 years ago
7 0
-6b(8b - 2) - 3b(4 + 4b) ...distribute thru the parenthesis
-48b^2 + 12b - 12b - 12b^2 =
-48b^2 - 12b^2 =
-60b^2 <==
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Last month, Ebony had 72 dollars in a checking account. The current balance is 126 dollars. What is the percent change in the ac
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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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  <em>a</em> = ±√(9/4) = ±3/2

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 ...

  -(a + (-3a)) = b/4

  2a = b/4

  b = 8a = 8·(±3/2)

  b = ±12

_____

<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.

4 0
3 years ago
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