Find the standard-form equation of the hyperbola whose graph is shown.

A. 4y2 - 6x2 = 1
B. 16y2 - 36x2 = 1
C.  -  = 1
D.  -  = 1


Answer: D

Mathematics

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A.  = - 
B.  = 
C.  = - 
D.  = - 

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Solve the problem. Then identify the piece of information that is unnecessary to solve the problem.A rental car company that rents cars for local-only use charges $50 plus $0.20 for each mile the rental car is driven. If a customer gives the rental attendant $100 for a charge of $60, how many miles did the customer drive?

A. 300 miles unnecessary information: the $50 flat charge B. 49 miles unnecessary information: the $0.20 per-mile charge C. 50 miles unnecessary information: giving $100 to attendant D. 25 miles unnecessary information: the $60 charge

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Solve the problem.Use the formula N = Iekt, where N is the number of items in terms of the initial population I, at time t, and k is the growth constant equal to the percent of growth per unit of time. There are currently 61 million cars in a certain country, decreasing by 4% annually. How many years will it take for this country to have 50 million cars? Round to the nearest year.

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Identify the numbers from the given list that belong to the indicated set. 12, , -24, 0, , - , 9.9, Natural numbers

A. 12, 0
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Mathematics