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3 years ago

Twice a number increased by two, is equivalent to the same number decreased by three

Mathematics

1 answer:

vlabodo [156]3 years ago

4 0

Answer: 2x + 2 = x - 3

if you needed to solve for x the answer would be

X = -5

Step-by-step explanation:

2x + 2 = x - 3

2x = x - 5

x = -5

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What is the value of 10+10=?

ale4655 [162]

10 + 10 = 20.

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3 years ago

Could I have help with this proof

pychu [463]

Answer:

Step-by-step explanation:

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4 years ago

What are the equations of the asymptotes of the graph of f(x)=(5/x+7)−8 ?

ludmilkaskok [199]

Answer:

$\mathrm{Vertical}:\:x=0,\:\mathrm{Horizontal}:\:y=-1$

The graph of the function is also attached.

Step-by-step explanation:

Considering the expression

$\:f\left(x\right)=\left(\frac{5}{x}+7\right)-8\:\:$

$\mathrm{Simplify}\:\frac{5}{x}+7-8:\quad \frac{5}{x}-1$

$\mathrm{Vertical\:asymptotes\:of\:}\frac{5}{x}-1:$

Go over every undefined point x = a and check if at least one of the following statement is true.

$\lim _{x\to a^-}f\left(x\right)=\pm \infty$

$\lim _{x\to a^+}f\left(x\right)=\pm \infty$

$\mathrm{Take\:the\:denominator\left(s\right)\:of\:}\frac{5}{x}-1\mathrm{\:and\:compare\:to\:zero}$

$x=0$

The following points are undefined

$x=0$

$\mathrm{The\:vertical\:asymptotes\:are:}$

$x=0$

$\mathrm{Horizontal\:Asymptotes\:of\:}\frac{5}{x}-1:$

$\mathrm{Check\:if\:at\:}x\to \pm \infty \mathrm{\:the\:function\:}y=\frac{5}{x}-1\mathrm{\:behaves\:as\:a\:line,\:}y=mx+b$

$\mathrm{Find\:an\:asymptote\:for\:}x\to -\infty \::$

$\lim _{x\to -\infty \:}\frac{f\left(x\right)}{x}=\lim _{x\to -\infty \:}\frac{\frac{5}{x}-1}{x}=0$

$\lim _{x\to -\infty \:}f\left(x\right)-mx=\lim _{x\to -\infty \:}\frac{5}{x}-1-0x=-1$

$y=-1$

$\mathrm{Find\:an\:asymptote\:for\:}x\to \infty:$

$\lim _{x\to \infty \:}\frac{f\left(x\right)}{x}=\lim _{x\to \infty \:}\frac{\frac{5}{x}-1}{x}=0$

$\lim _{x\to \infty \:}f\left(x\right)-mx=\lim _{x\to \infty \:}\frac{5}{x}-1-0x=-1$

$y=-1$

$\mathrm{The\:horizontal\:asymptote\:is:}$

$y=-1$

Therefore,

$\mathrm{Vertical}:\:x=0,\:\mathrm{Horizontal}:\:y=-1$

The graph of the function is also attached.

6 0

4 years ago

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What is the union of the two sets A = {4, 8, 10, 12, 14} and B = {12, 14}?

schepotkina [342]

The union of the two sets is the combining of the two sets, so the correct answer is A. {4, 8, 10, 12, 14}.

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3 years ago

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Henry is up for retirement after 35 long years at his pharmacy. Before retiring, he would like to know how much he would receive

satela [25.4K]

To find how much Henry can expect to receive from Social Security on a monthly basis, we first need to find how much he cant expect to receive from social security per year.

We know form our problem that Henry averaged an annual salary of $45,620, so to find how much can Henry expect to receive from Social Security per year, we just need to find the 42% of $45,620.

To find the 42% of $45,620, we are going to convert 42% to a decimal by dividing it by 100%, and then we are going to multiply the resulting decimal by $45,620:

$\frac{42}{100} =0.42$

Social security annual payment = (0.42)($45,620) = $19,160.40

Since there are 12 month in a year, we just need to divided the social security annual payment by 12 to find how much he can expect to receive each month.

Social security monthly payment = $\frac{19,160.40}{12}$ = $1.596.70

We can conclude that Henry can expect to receive $1.596.70 monthly from Social Security.

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3 years ago

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