Algebra Examples

$s (x) = \frac{10}{3} x^{5}$

Step 1

Write $s (x) = \frac{10}{3} x^{5}$ as an equation.

$y = \frac{10}{3} x^{5}$

Step 2

Combine $\frac{10}{3}$ and $x^{5}$ .

$y = \frac{10 x^{5}}{3}$

Step 3

Choose any value for $x$ that is in the domain to plug into the equation.

Step 4

Choose $0$ to substitute in for $x$ to find the ordered pair.

Tap for more steps...

Step 4.1

Remove parentheses.

$y = \frac{10 \cdot 0^{5}}{3}$

Step 4.2

Remove parentheses.

$y = \frac{10 {(0)}^{5}}{3}$

Step 4.3

Simplify $\frac{10 {(0)}^{5}}{3}$ .

Tap for more steps...

Step 4.3.1

Raising $0$ to any positive power yields $0$ .

$y = \frac{10 \cdot 0}{3}$

Step 4.3.2

Multiply $10$ by $0$ .

$y = \frac{0}{3}$

Step 4.3.3

Divide $0$ by $3$ .

$y = 0$

Step 4.4

Use the $x$ and $y$ values to form the ordered pair.

$(0, 0)$

Step 5

Choose $1$ to substitute in for $x$ to find the ordered pair.

Tap for more steps...

Step 5.1

Remove parentheses.

$y = \frac{10 \cdot 1^{5}}{3}$

Step 5.2

Remove parentheses.

$y = \frac{10 {(1)}^{5}}{3}$

Step 5.3

Simplify $\frac{10 {(1)}^{5}}{3}$ .

Tap for more steps...

Step 5.3.1

One to any power is one.

$y = \frac{10 \cdot 1}{3}$

Step 5.3.2

Multiply $10$ by $1$ .

$y = \frac{10}{3}$

Step 5.4

Use the $x$ and $y$ values to form the ordered pair.

$(1, \frac{10}{3})$

Step 6

Choose $2$ to substitute in for $x$ to find the ordered pair.

Tap for more steps...

Step 6.1

Remove parentheses.

$y = \frac{10 \cdot 2^{5}}{3}$

Step 6.2

Remove parentheses.

$y = \frac{10 {(2)}^{5}}{3}$

Step 6.3

Simplify $\frac{10 {(2)}^{5}}{3}$ .

Tap for more steps...

Step 6.3.1

Raise $2$ to the power of $5$ .

$y = \frac{10 \cdot 32}{3}$

Step 6.3.2

Multiply $10$ by $32$ .

$y = \frac{320}{3}$

Step 6.4

Use the $x$ and $y$ values to form the ordered pair.

$(2, \frac{320}{3})$

Step 7

These are three possible solutions to the equation.

$(0, 0), (1, \frac{10}{3}), (2, \frac{320}{3})$

Step 8