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Algebra Examples

y = \frac{5}{3} x^{2}

$y = \frac{5}{3} x^{2}$

Step 1

Combine

\frac{5}{3}

$\frac{5}{3}$ and

x^{2}

$x^{2}$ .

y = \frac{5 x^{2}}{3}

$y = \frac{5 x^{2}}{3}$

Step 2

Since the equation can be written in the form

y = k x^{2}

$y = k x^{2}$ ,

y

$y$ varies directly with

x^{2}

$x^{2}$ and

k

$k$ . The constant of variation,

k

$k$ , is

\frac{5}{3}

$\frac{5}{3}$ .

\frac{5}{3}

$\frac{5}{3}$

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⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$