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Alekssandra [29.7K]
4 years ago
5

The quadratic function f(x)=2x^2-24x+c has two zeros that differ by 18. Find the value of c.

Business
1 answer:
murzikaleks [220]4 years ago
7 0
For this case we have the following function:
  f (x) = 2x ^ 2-24x + c
  We set zero to find the roots of the function.
  We have then:
  2x ^ 2-24x + c = 0
  x ^ 2-12x + c / 2 = 0
  Factoring we have:
  (x - / + x1) (x - / + x2) = 0
  On the other hand we have:
  x2-x1 = 18
  x2 + x1 = -12
  Solving the system we have:
  x1 = -15
  x2 = 3
  Substituting we have:
  (x-15) (x + 3) = 0
  Rewriting:
  x ^ 2 -12x - 45 = 0
  Therefore, the value of c is given by:
  c / 2 = -45
  c = -90
  Answer:
  the value of c is:
  c = -90
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Blue Split sells ice cream cones in a variety of flavours. The following are data for a recent week: Revenue (1,000 cones at $1.
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4 years ago
A company reports purchases of $388,000​, a beginning accounts payable balance of $27,000​, and an ending accounts payable balan
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Explanation:

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Average accounts payable = (Beginning accounts payable + Closing accounts payable) / 2

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3 years ago
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3 years ago
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