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amid [387]
3 years ago
6

Write the equation of a rational function f(x) = p(×)/q(x) having the indicated properties, in which the degrees of p and q are

as small as possible. More than one correct function may be possible. Graph your function using a graphing utility to verify that it has the required properties.
134.) f has a vertical asymptote given by x=3, a horizontal asymptote y=0, y-intercept at -1, and no x-intercept

135.) f has vertical asymptotes given by x=-2 and x=2, a horizontal asymptote y=2, intercept at 9/2, x-intercepts at -3 and 3, and y-axis symmetry

Please helppp, thank youu​

Mathematics
1 answer:
stellarik [79]3 years ago
6 0

Answer:

134. y = 3 / (x-3)    attachment picture 1

135. y = (2*(x+3)(x-3)) / (x+2)(x-2)    attachment picture 2

Step-by-step explanation:

134. y = 3¹ / (x¹-3)

135. y = (2*(x+3)(x-3)) / (x+2)(x-2)

Apply the asymptote properties to verify, such as compare the degree of numerator and denominator... denominator approach 0  etc.

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How many diagonals can you draw from the vertex of an octagon
ludmilkaskok [199]
From one vertex of an octagon you can draw 5 diagonals.

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2 years ago
A long distance runner does a first lap around a track in exactly 50 seconds.As she tires.Each subsequent lap takes 20% longer t
madreJ [45]

Answer:

182 seconds

Step-by-step explanation:

Given:

Time taken for first lap is 50 seconds and each subsequent lap takes 20% longer than previous

Solution:

Time taken for first lap = 50 sec

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Each subsequent lap takes 20% longer than previous

Previous lap time = 50 sec

second lap = 50 + 20% of 50

second lap =50+(\frac{20}{100}\times 50)

second lap = 50 + 10

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For third lap

Each subsequent lap takes 20% longer than previous

Previous lap time = 60 sec

Third lap = 60 + 20% of 60

Third\ lap = 60 + (\frac{20}{100}\times 60)

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Third\ lap = 72\ sec

Time taken for 3 laps is equal to sum of all three laps time.

Tiem\ taken\ for\ 3\ lap = 50+60+72

Tiem\ taken\ for\ 3\ lap = 182\ sec

Therefore, it takes 182 seconds (3 min, 2 seconds) to run three laps

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Answer: 58 years old

Step-by-step explanation:

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3 years ago
Read 2 more answers
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