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1 year ago

11

What is the inverse of the equation y=3x ?

2 answers:

arlik [135]1 year ago

7 0

Answer:

y = x/3

Step-by-step explanation:

y = 3x

x = 3y

3y = x

y = x/3

vazorg [7]1 year ago

7 0

⊱_____________________________________________________⊱

Answer:

$y=\dfrac{x}{3}}$

Step-by-step explanation:

$\large\displaystyle\begin{gathered} \rm{To \ find \ the \ inverse, \ switch \ the \ places \ of \ x \ and \ y} \\ \sf{ y=3x} \\ \sf{x=3y} \\ \rm{Now \ solve \ for y} \\ \sf{x/3=y} \\ \sf{\dfrac{x}{3}=y \end{gathered}$

done !!

⊰______________________________________________________⊱

<h3>Cαllíɡɾαρhγ</h3>

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1 year ago

sergejj [24]

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We are given the function:

$\displaystyle f(x) = \left\{ \begin{array}{ll} 2\cos(\pi x) \text{ for } x \leq -1 \\ \\ \displaystyle \frac{2}{\cos(\pi x)}\text{ for } x > -1 \end{array} \right.$

And we want to find:

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So, we need to determine whether or not the limit exists. In other words, we will find the two one-sided limits.

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Since we are approaching from the left, we will use the first equation:

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By direct substitution:

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Right-Hand Limit:

$\displaystyle \lim_{x\to -1^+}f(x)$

Since we are approaching from the right, we will use the second equation:

$=\displaystyle \lim_{x\to -1^+}\frac{2}{\cos(\pi x)}$

Direct substitution:

$\displaystyle =\frac{2}{\cos(\pi (-1))}=\frac{2}{\cos(-\pi)}=\frac{2}{(-1)}=-2$

So, we can see that:

$\displaystyle \displaystyle \lim_{x\to-1^-}f(x)=\displaystyle \lim_{x\to -1^+}f(x) =-2$

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Our answer is A.

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2 years ago

Cheryl's gross pay for her pay period was $2,875. Thirty percent of her gross pay was withheld for taxes, and 12% was taken out

Zarrin [17]

Based on the calculation below, Cheryl's net pay is $1,667.50.

<h3>How do we calculate net pay?</h3>

Cheryl's net pay can be calculated using the following formula:

Net pay = Gross pay * (100% - 30% - 12%) ......................... (1)

Substituting for gross pay in equation (1), we have:

Net pay = $2,875 * (100% - 30% - 12%)

Net pay = $2,875 * 58%

Net pay = $1,667.50

Learn more about net pay here: brainly.com/question/14690804.

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1 year ago

Read 2 more answers