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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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Semester 1:

let the number of students in the art class be 2a, and the number of the students in the gym class be 7a. (check: the ratio is 2a:7a = 2:7)

so the total number of students is 9a.


semester 2:

the 9a students are go to the art class and gym class at a a ratio of 5: 4, 

so 5a students go to the art class, and 4a students go to the gym class.



<span>75 students are in art class in second semester means that 5a=75, 

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3 years ago
Use Natural Logarithms to solve the equation
Rus_ich [418]

Answer:

A) 0.106

Step-by-step explanation:

8e^3x + 4 = 15

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Take the natural log of each side

ln(e^(3x)) = ln(11/8)

3x = ln(11/8)

Divide by 3

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x =.106151244

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3 years ago
While the family went on vacation, Lisa boarded her cat at a kennel that charged $9.25 per day. If
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Answer:C

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6 0
2 years ago
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3 years ago
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snow_tiger [21]
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