# If z varies directly as x and inversely as y, and z = 8 when x = 12 and y = 3, the value of the constant of proportionality is what number?

The value of the constant of proportionality is 1.

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when z varies directly proportional to x means a division

when z varies inversely proportional to x it means a product

now with both

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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.

- How do you divide #(x^3+2x^2-2x-4) / (x^2+1)# using polynomial long division?
- What are the excluded values for #y=x/(2x+14)#?
- Suppose that y varies inversely with x. How do you use the information to find k, and then choose the equation given x=25 and when y=5?
- How do you solve #(x-1)/(x+1)-(2x)/(x-1)=-1#?
- How do you simplify #\frac { 2a ^ { 2} + 3a - 9} { 4a ^ { 2} - 9}#?

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