Precalculus Examples

$R (30) = - 25 {(30)}^{2} + 1200 (30)$

Step 1

Simplify.

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Step 1.1

Raise $30$ to the power of $2$ .

$R (30) = - 25 \cdot 900 + 1200 (30)$

Step 1.2

Multiply $- 25$ by $900$ .

$R (30) = - 22500 + 1200 (30)$

Step 1.3

Multiply $1200$ by $30$ .

$R (30) = - 22500 + 36000$

Step 1.4

Add $- 22500$ and $36000$ .

$R (30) = 13500$

$R (30) = 13500$

Step 2

Divide each term in $R (30) = 13500$ by $30$ and simplify.

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Step 2.1

Divide each term in $R (30) = 13500$ by $30$ .

$\frac{R (30)}{30} = \frac{13500}{30}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $30$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{R \cdot 30}{30} = \frac{13500}{30}$

Step 2.2.1.2

Divide $R$ by $1$ .

$R = \frac{13500}{30}$

$R = \frac{13500}{30}$

$R = \frac{13500}{30}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $13500$ by $30$ .

$R = 450$

$R = 450$

$R = 450$

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