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y is inversely proportional to d²
When d = 10, y = 4
d is directly proportional to x²
When x = 2, d = 24
Find a formula for y in terms of x.
Give your answer in its simplest form.

Sagot :

Mhanifaidn

Answer:

  • y = 100 / (9x⁴)

Step-by-step explanation:

y is inversely proportional to d²

  • y = k/d²

When d = 10, y = 4:

  • 4 = k/10²
  • k = 400

y is:

  • y = 400/d²

d is directly proportional to x²

  • d = mx²

When x = 2, d = 24

  • 24 = m*2²
  • m = 24/4
  • m = 6

d is:

  • d = 6x²

Find a formula for y in terms of x:

  • y = 400 / d² = 400 / (6x²)² = 400 / (36x⁴) = 100 / (9x⁴)
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