Finite Math Examples

$y = x (800 - x)$

Step 1

Find the x-intercepts.

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Step 1.1

To find the x-intercept(s), substitute in $0$ for $y$ and solve for $x$ .

$0 = x (800 - x)$

Step 1.2

Solve the equation.

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Step 1.2.1

Rewrite the equation as $x (800 - x) = 0$ .

$x (800 - x) = 0$

Step 1.2.2

If any individual factor on the left side of the equation is equal to $0$ , the entire expression will be equal to $0$ .

$x = 0$

$800 - x = 0$

Step 1.2.3

Set $x$ equal to $0$ .

$x = 0$

Step 1.2.4

Set $800 - x$ equal to $0$ and solve for $x$ .

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Step 1.2.4.1

Set $800 - x$ equal to $0$ .

$800 - x = 0$

Step 1.2.4.2

Solve $800 - x = 0$ for $x$ .

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Step 1.2.4.2.1

Subtract $800$ from both sides of the equation.

$- x = - 800$

Step 1.2.4.2.2

Divide each term in $- x = - 800$ by $- 1$ and simplify.

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Step 1.2.4.2.2.1

Divide each term in $- x = - 800$ by $- 1$ .

$\frac{- x}{- 1} = \frac{- 800}{- 1}$

Step 1.2.4.2.2.2

Simplify the left side.

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Step 1.2.4.2.2.2.1

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{- 800}{- 1}$

Step 1.2.4.2.2.2.2

Divide $x$ by $1$ .

$x = \frac{- 800}{- 1}$

Step 1.2.4.2.2.3

Simplify the right side.

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Step 1.2.4.2.2.3.1

Divide $- 800$ by $- 1$ .

$x = 800$

Step 1.2.5

The final solution is all the values that make $x (800 - x) = 0$ true.

$x = 0, 800$

Step 1.3

x-intercept(s) in point form.

x-intercept(s): $(0, 0), (800, 0)$

Step 2

Find the y-intercepts.

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Step 2.1

To find the y-intercept(s), substitute in $0$ for $x$ and solve for $y$ .

$y = (0) (800 - (0))$

Step 2.2

Solve the equation.

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Step 2.2.1

Multiply $0$ by $800 - (0)$ .

$y = 0 (800 - (0))$

Step 2.2.2

Remove parentheses.

$y = (0) (800 - (0))$

Step 2.2.3

Simplify $(0) (800 - (0))$ .

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Step 2.2.3.1

Subtract $0$ from $800$ .

$y = 0 \cdot 800$

Step 2.2.3.2

Multiply $0$ by $800$ .

$y = 0$

Step 2.3

y-intercept(s) in point form.

y-intercept(s): $(0, 0)$

Step 3

List the intersections.

x-intercept(s): $(0, 0), (800, 0)$

y-intercept(s): $(0, 0)$

Step 4