3 years ago

Find the horizontal asymptote for each function and tell the reason for your answer.

Mathematics

1 answer:

madreJ [45]3 years ago

6 0

Answer:

Thanks for the free points dear

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Rewrite the logarithmic expression as the sum and difference of logarithms. If exponents may be written as the coefficient of a

USPshnik [31]

Answer:

$G(y) = 4\ln(2y+1) - \frac{1}{2}\ln(y^2 + 1)$

Step-by-step explanation:

Given

$G(y) = \ln(\frac{(2y+1)^4}{\sqrt{y^2 + 1}})$

Required

Rewrite as sum and difference

Apply laws of logarithm:

$G(y) = \ln(2y+1)^4 - \ln({\sqrt{y^2 + 1})$

Rewrite the exponents

$G(y) = \ln(2y+1)^4 - \ln(y^2 + 1)^\frac{1}{2}$

Convert exponents to coefficients

$G(y) = 4\ln(2y+1) - \frac{1}{2}\ln(y^2 + 1)$

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4 years ago

Latasha went to the fabric store and bought 3 1/4 yards of red fabric and 3 1/2 yards of blue fabric. how many yards of fabric d

Lynna [10]

$2 \dfrac{2}{3} + 3 \dfrac{1}{9} = 2 \dfrac{6}{9} + 3 \dfrac{1}{9} = 5 \dfrac{7}{9}$

$\bf \text {Answer : } 5 \dfrac{7}{9} \text { yards of fabric}$

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4 years ago

YA is the angle bisector of ZXYZ. If mZXYZ = 52°, what is mZZYA?

antoniya [11.8K]

Given:

$YA$ is the angle bisector of $\angle XYZ$ .

$m\angle XYZ=52^\circ$

To find:

The measure of $m\angle ZYA$ .

Solution:

It is given that $YA$ is the angle bisector of $\angle XYZ$ . It means

$m\angle XYA=m\angle ZYA$ ...(i)

Now,

$m\angle XYA+m\angle ZYA=m\angle XYZ$

$m\angle ZYA+m\angle ZYA=52^\circ$ [Using (i)]

$2m\angle ZYA=52^\circ$

Divide both sides by 2.

$m\angle ZYA=\dfrac{52^\circ}{2}$

$m\angle ZYA=26^\circ$

Therefore, the required value is $m\angle ZYA=26^\circ$ .

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3 years ago

Alex has 48 stickers this is 6 times more stickers than Max has. how many stickers does Max have?

polet [3.4K]

8 stickers
48÷6=8
hope this helps!

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3 years ago

120% of what number is 20.4

NeTakaya

20.4÷120=0.17
0.17×100=17

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3 years ago