Finite Math Examples

$y^{0} + {(3 x - 10)}^{0} = 180$

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 $x$ .

${(0)}^{0} + {(3 x - 10)}^{0} = 180$

Step 1.2

The equation cannot be solved because it is undefined.

$Undefined$

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 $y$ .

$y^{0} + {(3 (0) - 10)}^{0} = 180$

Step 2.2

Solve the equation.

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Step 2.2.1

Simplify $y^{0} + {(3 (0) - 10)}^{0}$ .

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Step 2.2.1.1

Simplify each term.

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Step 2.2.1.1.1

Anything raised to $0$ is $1$ .

$1 + {(3 (0) - 10)}^{0} = 180$

Step 2.2.1.1.2

Multiply $3$ by $0$ .

$1 + {(0 - 10)}^{0} = 180$

Step 2.2.1.1.3

Subtract $10$ from $0$ .

$1 + {(- 10)}^{0} = 180$

Step 2.2.1.1.4

Anything raised to $0$ is $1$ .

$1 + 1 = 180$

Step 2.2.1.2

Add $1$ and $1$ .

$2 = 180$

Step 2.2.2

Since $2 \neq 180$ , there are no solutions.

No solution

Step 2.3

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

y-intercept(s): $None$

Step 3

List the intersections.

x-intercept(s): $None$

y-intercept(s): $None$

Step 4