Find the vertices of the hyperbola.9x2 - 4y2 + 36x + 8y - 4 = 0
A. (-4, 1) and (0, 1)
B. (0, -1) and (4, -1)
C. (-2, 4) and (-2, -2)
D. (2, 2) and (2, -4)
Answer: A
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Determine if the series converges or diverges. If the series converges, find its sum.
A. diverges
B. converges;
C. converges; -
D. converges;1
Use a formula to solve the problem.A rectangular Persian carpet has a perimeter of 184 inches. The length of the carpet is 20 inches more than the width. What are the dimensions of the carpet?
A. 36 inches by 56 inches B. 82 inches by 102 inches C. 72 inches by 92 inches D. 56 inches by 76 inches
Solve the equation in the complex number system.x4 - 2x2 - 3 = 0
A. {-i, -i}
B. {i, i}
C. {, 3}
D. {- ,
, i, -i}
Solve the problem.An electronics company kept comparative statistics on two products, A and B. For the years 2005 to 2013, the total number of Product A ever sold (in thousands) is given by the equation , where x is the number of years since 2005. For that same period, the total number of Product B ever sold (in thousands) is given by the equation B = -30x + 434, where x is the number of years since 2005. Choose the statement that most accurately describes the solution of the system of equations.
A. At about 1.8 years (to the nearest tenth) from 2005, both products had sold the same amount. B. Product B sold 1.8 times as many as Product A. C. At some point between 2005 and 2013, both products had sold 1800 each. D. When 375,000 of Product A had been sold, Product B had sold 1.8 times as many.