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R varies inversely with x . if r= -2 when x=6 what is the value of r when x= -3?

User Quesi
by
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1 Answer

2 votes

Answer:

r = 4

Explanation:

Given that r varies inversely with x then the equation relating them is

r =
(k)/(x) ← k is the constant of variation

To find k use the condition r = - 2 when x = 6

k = rx = - 2 × 6 = - 12

r =
(-12)/(x) ← equation of variation

When x = - 3, then

r =
(-12)/(-3) = 4

User Skalta
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