According to the question, to express the rational function for the vertical asymptote whose equation is
and horizontal asymptote whose equation is at 
As per the question, the function 'f(x)' is vertical at
. Therefore, the denominator be 

The function 'g(x)' should have same degree as the denominator function has and it is defined as
The rational function can be written as:
Rational function = 
What is rational function?
Rational function is a function whose numerator and denominator terms are in polynomials. Basically, it is a ratio of polynomials. The important condition for these type of function is that denominator should be of degree one.
To learn more about rational function from the given link:
<u>brainly.com/question/19044037</u>
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Answer: C) 50% of the students scored below 70%
<u>Step-by-step explanation:</u>
Mean is the average. To find the mean (aka average) you add up all of the scores and divide by the number of tests.
B) The mean can be 70 without any test scoring 70% so B is not true.
A) Since B is not true, then A is not a valid option.
D) We don't know any of the other data so don't know if it is skewed left, skewed right, or normal. Therefore, option D is not true.
C) If the average is 70%, then half received grades above that score and half received grades below that score. So, option C is TRUE!
Answer:
1 hour
Step-by-step explanation:
The time it takes to travel to a destination varies inversely as its speed
T= k/S
K= TS
Time= 2 hours
Speed= 40mph
K= 2×40
= 80
Therefore if the average speed changes to 80mph then the new travel time can be calculated as follows
T= 80/80
= 1 hour
Hence the new travel time is 1 hour
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Answer:
(0.5, -2.5)
Step-by-step explanation:
Each of the coordinates of B(1, -5) is multiplied by the scale factor, 0.5:
B' = (0.5·1, 0.5·(-5)) = (0.5, -2.5)
The coordinates of B' are (0.5, -2.5).