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Find the specified asymptotes of the following functions. Recall that asymptotes are lines therefore the answer must be given as an equation of a line.
a) Find the vertical asymptote of the function f(x) = 4/ (x + 5)
b) Find the horizontal asymptote of the function g(x) = (5x^2 - 4)/(x + 1)
c) Find the vertical and horizontal asymptotes of the function f(x) = (3x - 1)/(x + 4)
d) Find the vertical and horizontal asymptotes of the function g(x) = (x + 7)/(x^2 - 4)
Boris races his bicycle for 264 feet . A wheel of his bicycle turns 44 times as the bicycle travels this distance. What is the diameter of the wheel?
The price at which supply and demand are equal is called the equilibrium price. What is the equilibrium price?
A poll states that 30% of the workers in a large company have new desks. If 6 workers are selected at random, what is the probability that at least one worker has a new desk?
a rectangular pig pen is built against an existing brick fence. 24m of fencing was used to enclose 70m^2. find the dimensions of the pen.
Average Values Group Members: 1. 2. 3. 4. The temperature of a metal rod, 5 m long, is 4x (in degrees Celsius), at a distance x meters from one end of the rod. What is the average temperature in the rod?
What are your answers to parts (a) and (b) if the helicopter is rising steadily at 1.00 m/s?
What is the difference between prime numbers and composite numbers? How are prime numbers and composite numbers related? Prime numbers are often used in cryptography.
A solution of 52% pesticide is to be mixed with a solution of 27% pesticide to form 200 liters of a 40% solution. How many liters of the 52% solution must be used?
Confidence interval for Population mean
A Midwestern company that produces a particular machine component has 3 factories, one each in Chicago, Cleveland, and St. Louis. 50% of the components produced come from the Chicago factory
The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day 2200 people entered the fair and $5050 was collected as entrance fees. How many children and how many adults attended the fair?
Is this equation correct: (x y)3 = x y3 ? Explain why. If it is correct, how can you prove this? If it is incorrect, what should be done to make it right?
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