Finite Math Examples

$y \cdot 1 = 30 x + \frac{1}{{(1 + x)}^{45}}$

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 $x$ .

$(0) \cdot 1 = 30 x + \frac{1}{{(1 + x)}^{45}}$

Step 1.2

Solve the equation.

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Step 1.2.1

Multiply $0$ by $1$ .

$0 = 30 x + \frac{1}{{(1 + x)}^{45}}$

Step 1.2.2

Graph each side of the equation. The solution is the x-value of the point of intersection.

No solution

Step 1.3

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

x-intercept(s): $None$

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 $y$ .

$y \cdot 1 = 30 (0) + \frac{1}{{(1 + 0)}^{45}}$

Step 2.2

Solve the equation.

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Step 2.2.1

Multiply $y$ by $1$ .

$y = 30 (0) + \frac{1}{{(1 + 0)}^{45}}$

Step 2.2.2

Simplify $30 (0) + \frac{1}{{(1 + 0)}^{45}}$ .

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Step 2.2.2.1

Simplify each term.

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Step 2.2.2.1.1

Multiply $30$ by $0$ .

$y = 0 + \frac{1}{{(1 + 0)}^{45}}$

Step 2.2.2.1.2

Simplify the denominator.

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Step 2.2.2.1.2.1

Add $1$ and $0$ .

$y = 0 + \frac{1}{1^{45}}$

Step 2.2.2.1.2.2

One to any power is one.

$y = 0 + \frac{1}{1}$

Step 2.2.2.1.3

Divide $1$ by $1$ .

$y = 0 + 1$

Step 2.2.2.2

Add $0$ and $1$ .

$y = 1$

Step 2.3

y-intercept(s) in point form.

y-intercept(s): $(0, 1)$

Step 3

List the intersections.

x-intercept(s): $None$

y-intercept(s): $(0, 1)$

Step 4