Find the vertices of the ellipse.4x2 + 5y2 + 16x - 30y + 41 = 0
A. (-2, 3 + 
) and (-2, 3 - 
)
B. (2, -3 + 
) and (2, -3 - 
)
C. (-2 + 
, 3) and (-2 - 
, 3)
D. (2 + 
, -3) and (2 - 
, -3)
Answer: C
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For what values of x does the series converge absolutely?
A. 1 < x < 3 B. 1 < x ? 3 C. 1 ? x ? 3 D. 1 ? x < 3
Match the surface show below to the graph of its level curves.
A. 
B. 
C. 
D. 
Use the Fundamental Counting Principle to solve the problem.Four married couples have reserved eight seats in a row at the theater, starting at an aisle seat. In how many ways can they arrange themselves if no couple is to be separated?
A. 384 B. 24 C. 40,320 D. 192
Write an algebraic equation and use it to solve the problem.The length of a rectangular room is 8 feet longer than twice the width. If the room's perimeter is 196 feet, what are the room's dimensions?
A. Width = 35 ft; length = 78 ft B. Width = 60 ft; length = 136 ft C. Width = 45 ft; length = 53 ft D. Width = 30 ft; length = 68 ft