Solve the system by elimination. x + 2y = 2-7x + 1y = -29
A. {(3, 0)}
B. {(4, -1)}
C. {(-4, 0)}
D. ?
Answer: B
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Use the given values of the variable to make a vertical table of solutions for the equation.y = , x = -3, 3, 5, 7
A.
B.
C.
D.
Solve the problem.If there are x teams in a sports league and all the teams play each other twice, a total of N(x) games are played, where N(x) = x2 - x. A soccer league has 6 teams, each of which plays the others twice. If the league pays $48 per game for the field and officials, how much will it cost to play the entire schedule?
A. $1536 B. $1728 C. $2016 D. $1440
Solve the problem.A barge is located 200 feet away from the coastline 1200 feet down the coast from a power source at point A. To supply the barge with electricity, a power line will be run from point A to a point B on the coast and then from point B to the barge. If power lines on land coast $3 per foot and power lines under water cost $5 per foot, calculate the total cost of running a power line from point A to the barge when point B is 800 feet down the coast from point A in the direction of the barge. Recalculate the total cost when the distance from A to B is increased in 50-foot increments, until you locate a possible minimum cost. Interpret your solution.
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Factor.2a3 + 4a2 - 30a
A. 2a(a - 5)(a + 3) B. 2a(a + 5)(a - 3) C. 2a(a + 5)(a + 3) D. 2a(a - 5)(a - 3)