Respuesta :
Using 'y' is vary inversely to 'x', the value of x₂ = -27.
What is inverse?
The word inverse in mathematics "a function or operation which reverses the order or operation of another function or operation".
According to the question,
x₁ = 36, y₁ = -6, y₂ = 8 and x₁ is inversely proportional to y₁ which mean
(x₁) (y₁) = k
(36)(-6) = -216.
Formula for inverse is x = k([tex]\frac{1}{y}[/tex]).
In order to find x₂, x₂ = -216(1/8)
x₂ = -27
Hence, the value of x₂ = -27.
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