Calculus Examples

$x = \frac{0.96 - p}{0.014}$

Step 1

Simplify $\frac{0.96 - p}{0.014}$ .

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Step 1.1

Factor $0.04$ out of $0.96 - p$ .

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Step 1.1.1

Factor $0.04$ out of $0.96$ .

$x = \frac{0.04 (24) - p}{0.014}$

Step 1.1.2

Factor $0.04$ out of $- p$ .

$x = \frac{0.04 (24) + 0.04 (- 25 p)}{0.014}$

Step 1.1.3

Factor $0.04$ out of $0.04 (24) + 0.04 (- 25 p)$ .

$x = \frac{0.04 (24 - 25 p)}{0.014}$

Step 1.2

Factor $0.014$ out of $0.014$ .

$x = \frac{0.04 (24 - 25 p)}{0.014 (1)}$

Step 1.3

Separate fractions.

$x = \frac{0.04}{0.014} \cdot \frac{24 - 25 p}{1}$

Step 1.4

Simplify the expression.

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Step 1.4.1

Divide $0.04$ by $0.014$ .

$x = 2.\overline{857142} \frac{24 - 25 p}{1}$

Step 1.4.2

Divide $24 - 25 p$ by $1$ .

$x = 2.\overline{857142} (24 - 25 p)$

Step 1.5

Apply the distributive property.

$x = 2.\overline{857142} \cdot 24 + 2.\overline{857142} (- 25 p)$

Step 1.6

Simplify the expression.

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Step 1.6.1

Multiply $2.\overline{857142}$ by $24$ .

$x = 68.\overline{571428} + 2.\overline{857142} (- 25 p)$

Step 1.6.2

Multiply $- 25$ by $2.\overline{857142}$ .

$x = 68.\overline{571428} - 71.\overline{428571} p$

Step 1.6.3

Reorder $68.\overline{571428}$ and $- 71.\overline{428571} p$ .

$x = - 71.\overline{428571} p + 68.\overline{571428}$

Step 2

To rewrite as a function of $p$ , write the equation so that $x$ is by itself on one side of the equal sign and an expression involving only $p$ is on the other side.

$f (p) = - 71.\overline{428571} p + 68.\overline{571428}$