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Alekssandra [29.7K]
3 years ago
11

Find a formula for a function that has vertical asymptotes x = 2 and x = 7 and horizontal asymptote y = 2.

Mathematics
1 answer:
Pie3 years ago
6 0
Hello : 

 

hello : <span>
1 ) if : x</span>ـــــــ> ± ∞  <span>
 limf(x)   = b     ....(b</span>∈R)     so : y=b is the equation of the line horizontal asymptote.

<span>
2) if : x</span>ـــــــ> a ...(a∈R)<span>
 limf(x)   = ± ∞  
<span>so : x=a is the equation of the line vertical asymptote.</span></span>

<span><span>hint : in this exercice : a = 2 or a = 7  but : b=2</span></span>

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Mary drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 7 hours. When Mary drove h
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There are two separate equations for this question that use the same variable.

Mary took 7 hours to complete a trip with traffic. This would use the following expression:

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Mary took 4 hours to complete the same trip without traffic. The average rate of speed was 27 mph faster than the trip with traffic. This uses the following expression:

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Both trips had the same distance. From the information provided, we can set up the following equation:

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Distribute 4 to each term in parentheses:

4 \times x = 4x
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7x = 4x + 108

Subtract 4x from both sides:

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Divide both sides by 3 to get x by itself:

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We can plug this value into the first equation:

7(36) = 7 \times 36 = 252

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