Finite Math Examples

$24 x + \frac{1}{{(1 + x)}^{60}}$

Step 1

Write $24 x + \frac{1}{{(1 + x)}^{60}}$ as an equation.

$y = 24 x + \frac{1}{{(1 + x)}^{60}}$

Step 2

Find the x-intercepts.

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Step 2.1

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

$0 = 24 x + \frac{1}{{(1 + x)}^{60}}$

Step 2.2

Solve the equation.

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Step 2.2.1

Remove parentheses.

$0 = 24 x + \frac{1}{{(1 + x)}^{60}}$

Step 2.2.2

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

$x \approx - 1.93800945$

Step 2.3

x-intercept(s) in point form.

x-intercept(s): $(- 1.93800945, 0)$

Step 3

Find the y-intercepts.

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Step 3.1

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

$y = 24 (0) + \frac{1}{{(1 + 0)}^{60}}$

Step 3.2

Solve the equation.

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Step 3.2.1

Remove parentheses.

$y = 24 (0) + \frac{1}{{(1 + 0)}^{60}}$

Step 3.2.2

Simplify $24 (0) + \frac{1}{{(1 + 0)}^{60}}$ .

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Step 3.2.2.1

Simplify each term.

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Step 3.2.2.1.1

Multiply $24$ by $0$ .

$y = 0 + \frac{1}{{(1 + 0)}^{60}}$

Step 3.2.2.1.2

Simplify the denominator.

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Step 3.2.2.1.2.1

Add $1$ and $0$ .

$y = 0 + \frac{1}{1^{60}}$

Step 3.2.2.1.2.2

One to any power is one.

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

Step 3.2.2.1.3

Divide $1$ by $1$ .

$y = 0 + 1$

Step 3.2.2.2

Add $0$ and $1$ .

$y = 1$

Step 3.3

y-intercept(s) in point form.

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

Step 4

List the intersections.

x-intercept(s): $(- 1.93800945, 0)$

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

Step 5