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Dominik [7]
2 years ago
14

The value of y varies directly with x. If x = 8, then y = 96. What is the value of x when y = 168?

Mathematics
1 answer:
patriot [66]2 years ago
7 0

Answer:

  • x = 14

Step-by-step explanation:

<u>Direct variation equation:</u>

  • y = kx, where k is constant of variation

<u>Given:</u>

  • 96 = 8k
  • k = 96/8
  • k = 12

<u>The equation is:</u>

  • y = 12x

<u>Find the value of x when y = 168:</u>

  • 168 = 12x
  • x = 168/12
  • x = 14

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Step-by-step explanation:

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The quadratic formula is one of the faster ways (in this situation, at least) in which to find the roots.  From 2x^2 + 4x + 7 we get a = 2, b = 4 and c = 7.

Then the discriminant is b^2 - 4ac, or, here, 4^2 - 4(2)(7), or -40.  Because the discriminant is negative, we know that the roots will be complex and unequal.

Using the quadratic formula:

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