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2 years ago

8

Johnny did some work for his grandpa. He worked for 7 hours on Friday and 6 hours on Saturday. His grandpa paid him $91 for the

work. How much money did Johnny earn per hour?

1 answer:

Ivanshal [37]2 years ago

5 0

7 dollars per hour!!!!

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What is the slope of the line that passes through:<br> (6,5) and (-1,-4)<br><br><br> Thank You!

My name is Ann [436]

Answer:

$m=\frac{9}{7}$

Step-by-step explanation:

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>:

$m=\frac{-4-5}{-1-6}$

$m=\frac{-9}{-7}$

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3 years ago

If f(x)=2−x12 and g(x)=x2−9, what is the domain of g(x)÷f(x)?

Keith_Richards [23]

$\bf \begin{cases}
f(x)=2-x^{12}\\
g(x)=x^2-9\\
g(x)\div f(x)=\frac{g(x)}{f(x)}
\end{cases}\implies \cfrac{x^2-9}{2-x^{12}}$

now, for a rational expression, the domain, or "values that x can safely take", applies to the denominator NOT becoming 0, because if the denominator is 0, then the rational turns to undefined.

now, what value of "x" makes this denominator turn to 0, let's check by setting it to 0 then.

$\bf 2-x^{12}=0\implies 2=x^{12}\implies \pm\sqrt[12]{2}=x\\\\
-------------------------------\\\\
\cfrac{x^2-9}{2-x^{12}}\qquad \boxed{x=\pm \sqrt[12]{2}}\qquad \cfrac{x^2-9}{2-(\pm\sqrt[12]{2})^{12}}\implies \cfrac{x^2-9}{2-\boxed{2}}\implies \stackrel{und efined}{\cfrac{x^2-9}{0}}$

so, the domain is all real numbers EXCEPT that one.

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Answer is A hope this helps :)

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Sharlene opened a new account and deposited $6,000.

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