Solve the system by the addition method.2x2 - 4y2 = -563x2 + 3y2 = 60
A. {(2, -4), (2, 4)}
B. {(2, 4), (-2, 4), (2, -4), (-2, -4)}
C. {(-2, -4), (-4, -2)}
D. {(2, 4), (4, 2), (-2, -4), (-4, -2)}
Answer: B
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Evaluate the improper integral or state that it diverges.
A. -15 B. 15 C. 30 D. diverges
Write the first four terms of the geometric sequence.a = 3, a4 = -81
A. 3, -9, -27, -81 B. -3, -9, -27, -81 C. 3, -9, 27, -81 D. -9, 27, -81, 243
Solve. Assume the exercise describes a linear relationship.A vendor has learned that, by pricing hot dogs at $1.75, sales will reach 76 hot dogs per day. Raising the price to $2.50 will cause the sales to fall to 43 hot dogs per day. Let y be the number of hot dogs the vendor sells at x dollars each. Write a linear equation that models the number of hot dogs sold per day when the price is x dollars each.
A. y = - x +
B. y = -44x - 153
C. y = 44x - 1
D. y = -44x + 153
Solve the problem.Within a group of n people, the number of possible handshakes, N, is given by N = (n2 - n). At a party, everybody shakes hands with every other person. If the total number of handshakes is 276, how many people are at the party?
A. 24 B. 26 C. 25 D. 23