If $x+y=4$ and $x^2+y^2=8$, find $x^3+y^3$.

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Step-by-step explanation:

We are given .

If we square both sides we obtain .

Recall .

So we have .

Reorder this so we can use the second given: .

Subtract 8 on both sides:

Divide both sides by 2:

So we have the following so far:

We are asked to find .

We will now cube both sides of the first given:

Expand left hand side:

Factor and reorder:

Plug in values given and the value we found for :

Simplify third term of left hand side:

Subtract 48 on both  sides:

john earns $14.00 for two hours of work.

an advantage of the standard deviation is that it increases as the dispersion of the data increases. e. the interquartile range is preferred when the data are not skewed or no have outliers. an advantage of the standard deviation is that it uses all the observations in its computation.