Solve the problem.Two trains leave a train station at the same time. One travels north at 10 miles per hour. The other train travels south at 11 miles per hour. In how many hours will the two trains be 172.2 miles apart?
A. 4.1 hours
B. 16.4 hours
C. 8.7 hours
D. 8.2 hours
Answer: D
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Write an equation for the quadratic function whose graph contains the given vertex and point.Vertex (-3, 5), point (3, 113)
A. P(x) = 3x2 + 18x + 32 B. P(x) = -3x2 + 18x + 5 C. P(x) = 3x2 - 18x + 32 D. P(x) = 3x2 + 3x + 5
Solve the problem.A projectile is fired with an initial velocity of 500 feet per second at an angle of 45° with the horizontal. In how many seconds will the projectile strike the ground? (Round your answer to the nearest tenth of a second.) The parametric equations for the path of the projectile are x = (500 cos 45°)t, and y = (500 sin 45°)t - 16t2.
A. 18.7 sec B. 26.9 sec C. 30.2 sec D. 22.1 sec
Fill in the blank with one of the words or phrases listed below.
A system of equations that has at least one solution is called a(n) 
system
A. consistent B. dependent C. inconsistent D. independent
Solve the problem.Find f(k - 1) when f(x) = 4x2 - 4x + 6.
A. 4k2 - 12k + 6 B. 4k2 - 12k + 14 C. -12k2 + 4k + 14 D. 4k2 + 20k + 6