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3 years ago

Write an exponential function of the form y=ab^x whose graph passes through the given points.

1 answer:

8 0

$We\ substitude\ points\ into \ formula:\\ y= ab^{x}\\\{ {{4=ab^1} \atop {12=ab^2}} \right. |Substitude\ a= \frac{4}{b} \ from\ first \ equation\\12= \frac{4}{b}*b^2\\
12=4b|:4\\ 
b=3\\a= \frac{4}{3} \\
y=4^x$

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Find Horizontal and Vertical asymptotes for y=(x^2 -9)/(4x^2 +1)

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Answer: Horizontal asymptote is $\dfrac{1}{4}$ and vertical asymptotes are $\pm \dfrac{1}{2i}$

Step-by-step explanation:

Since we have given that

$y=\dfrac{x^2-9}{4x^2+1}$

We need to find the horizontal and vertical asymptotes.

Since vertical asymptotes will occur where the denominator becomes zero.

So, here denominator is $4x^2+1$

Now,

$4x^2+1=0\\\\4x^2=-1\\\\x^2=\dfrac{-1}{4}\\\\x=\pm \dfrac{1}{2i}$

And the horizontal asympototes will occur when the coefficient of higher degree of numerator is divided by coefficient of higher degree of denominator.

$y=\dfrac{1}{4}$

Hence, horizontal asymptote is $\dfrac{1}{4}$ and vertical asymptotes are $\pm \dfrac{1}{2i}$

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3 years ago

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Step-by-step explanation:

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2 years ago

Can someone help please Stickers are sold in packages of 15 sheets. If there are 20 students in the class, how many packages of

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Step-by-step explanation:

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this triangular prism has a length of 20 centimeters, an end base of 6 centimeters and an end height of 8 centimeters. what is t

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960

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