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4 years ago

At which values of x does the function F(X) have a vertical asymptote? F(X) =3/x(x-5)(x+1)

Mathematics

1 answer:

damaskus [11]4 years ago

5 0

Answer:

There are vertical asymptotes at x: {-1, 0, 5}

Step-by-step explanation:

It's easier (at least for some) if you write this function as

F(X) = ------------------

x(x-5)(x+1)

Can you now see that if x = 0, this function is undefined? Same for x = 5 and x = -1? There are vertical asymptotes at x: {-1, 0, 5}

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3 years ago

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Walter invests $100,000 in an account that compounds interest continuously and earns 12%. How long will it take for his money to

prohojiy [21]

Answer:

$300000= 100000 e^{0.12 t}$

We divide both sides by 100000 and we got:

$3 = e^{0.12 t}$

Now we can apply natural logs on both sides;

$ln(3) = 0.12 t$

And then the value of t would be:

$t = \frac{ln(3)}{0.12}= 9.16 years$

And rounded to the nearest tenth would be 9.2 years.

Step-by-step explanation:

For this case since we know that the interest is compounded continuously, then we can use the following formula:

$A =P e^{rt}$

Where A is the future value, P the present value , r the rate of interest in fraction and t the number of years.

For this case we know that P = 100000 and r =0.12 we want to triplicate this amount and that means $A= 300000$ and we want to find the value for t.

$300000= 100000 e^{0.12 t}$

We divide both sides by 100000 and we got:

$3 = e^{0.12 t}$

Now we can apply natural logs on both sides;

$ln(3) = 0.12 t$

And then the value of t would be:

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3 years ago

using the coordinate plane shown below 1/3 point is plotted five units to the right of -4, for where should a four point be plan

Mrac [35]

we know that

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the coordinate x of the fourth point is equal to

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the y-coordinate of the fourth point is the same y coordinate of (-4,4)

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2 years ago

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Answer:

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Step-by-step explanation:

16+ 25 = 41

41 + 25 = 66

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4 years ago

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