# Assume that y varies inversely as x. If x = 12 when y = 9, what is x when y = -3?

To find x when y = -3, we can use the inverse variation formula: y = k/x.

First, we need to find the constant of variation, k. We can do this by substituting the given values into the formula: 9 = k/12.

Solving for k, we multiply both sides of the equation by 12: 9 * 12 = k. This gives us k = 108.

Now that we have the value of k, we can substitute it into the formula and solve for x when y = -3: -3 = 108/x.

To isolate x, we multiply both sides of the equation by x: -3x = 108.

Dividing both sides by -3, we find that x = -36.

Therefore, when y = -3, x is equal to -36.

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The basic inverse variation equation is

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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