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alex41 [277]
3 years ago
5

Can a function have a vertical and horizontal asymptote

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
6 0
Yes from the defination of asymptote
that it comes closer and moves slow bit never touches
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inna [77]

Answer:

To solve this problem, we can use a system of equations.

We know the quadratic expression has the form

f(t)=at^{2}+bt

Using points (1,12) and (4,0), we can form the following system to find a and b.

12=a+b

0=16a+4b

We need to divide the second equation by -4 and sum both equations

12=a+b\\0=-4a-b

12=-3a\\a=\frac{12}{-3}\\ a=-4

Then, we use this value to find the other variable

12=a+b\\12=-4+b\\b=12+4\\b=16

<h3>Therefore, the quadratic function that models the situation is</h3>

f(t)=-4t^{2} +16t  or  f(t)=-4t(t-4)

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3 years ago
Answer it pls option c
Troyanec [42]

Answer:

x = \frac{1}{4}

Step-by-step explanation:

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LCM = 8

→ Multiply the whole equation by 8 to get rid of the fractions

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→ Minus 6 from both sides to isolate 4x

4x = 1

→ Divide both sides by 4 to isolate x

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