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4 years ago

12

What is 11:40 - 1 1/2

1 answer:

suter [353]4 years ago

3 0

Answer: 10:10

Step-by-step explanation:

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3 years ago

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Suppose you are choosing between checking account A, which charges a $7.50 monthly fee, $1 per check, and $2 per ATM visit; and

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3 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.

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4 years ago

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16x -7<-71<br><br><br> Please Help

saw5 [17]

Answer:

x<-4

Step-by-step explanation:

$16x - 7 < - 71 \\ 16x < - 71 + 7 \\ 16x < - 64 \\ x < - 4$

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3 years ago