Finite Math Examples

$y = \sqrt{9 x + 45} + 2$

Step 1

Simplify each term.

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Step 1.1

Factor $9$ out of $9 x + 45$ .

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Step 1.1.1

Factor $9$ out of $9 x$ .

$y = \sqrt{9 (x) + 45} + 2$

Step 1.1.2

Factor $9$ out of $45$ .

$y = \sqrt{9 x + 9 \cdot 5} + 2$

Step 1.1.3

Factor $9$ out of $9 x + 9 \cdot 5$ .

$y = \sqrt{9 (x + 5)} + 2$

Step 1.2

Rewrite $9$ as $3^{2}$ .

$y = \sqrt{3^{2} (x + 5)} + 2$

Step 1.3

Pull terms out from under the radical.

$y = 3 \sqrt{x + 5} + 2$

Step 2

The given equation $y = 3 \sqrt{x + 5} + 2$ can not be written as $y = k x^{2}$ , so $y$ doesn't vary directly with $x^{2}$ .

$y$ doesn't vary directly with $x$