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Paraphin [41]
3 years ago
7

Tell whether x and y show direct variation, inverse variation, or neither.

Mathematics
1 answer:
allochka39001 [22]3 years ago
6 0

Answer:

thWhat is c hw wrin hd dont know if I know what x is to find the answer

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When the reciprocal of the larger of two consecutive even integers is subtracted from 4 times the reciprocal of the smaller, the
yawa3891 [41]

Answer:  No solution

<u>Step-by-step explanation:</u>

1st number: x

2nd number: x + 2

  • reciprocal of the larger is \frac{1}{x+2}
  • 4 times the reciprocal of the smaller is 4(\frac{1}{x})
  • reciprocal of the larger of two consecutive even integers is subtracted from 4 times the reciprocal of the smaller is 4(\frac{1}{x}) - \frac{1}{x+2}
  • the result is 56: 4(\frac{1}{x}) - \frac{1}{x+2} = 56

Solve the equation:

4(\frac{1}{x}) - \frac{1}{x+2} = 56

\frac{4(x(x + 2))}{x} - \frac{1(x(x + 2))}{x+2} = 56(x(x + 2))

4x + 8 - x = 56x² + 112x

     3x + 8 = 56x² + 112x

             0 = 56x² + 109x - 8

Use the quadratic formula to solve:

x = \frac{-109+/-11\sqrt{113}}{112}

The result is NOT AN INTEGER so there is NO SOLUTION

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3 years ago
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