Solve the problem.Fireworks are launched into the air. The quadratic function
models the fireworks' height, y, in feet, x seconds after they are launched. When should the fireworks explode so that they go off at the greatest height? What is that height? (Round answers the nearest hundredth.)
A. -6.22 sec, 612.77 ft
B. 6.22 sec, 624.77 ft
C. 6 sec, 199 ft
D. 1104 sec, 6 ft
Answer: B
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Solve the problem.An election is held in which each member ranks the candidates from first to third. The preference schedule below shows the results of the preliminary nonbinding ballots with candidates A, B, and C.A second election is then held, which yields the following preference schedule:
If a run-off of the top two candidates is used to determine the winner, is Fairness Criterion 3 satisfied?
A. yes B. no
Use the relative frequency method to estimate the probability. Round your answer to 2 decimal places when necessary.Sebastian lives in a rainy city. In his city, in 15 of the past 36 years there have been more than 100 days of rain. What is the probability that there will be more than 100 days of rain next year in his city? Give your answer as a fraction.
A.
B.
C.
D.
Factor completely, or state that the trinomial is prime.x4 + 14x2 + 49
A. (x2 + 7)2 B. (x + 7)2 C. (x2 - 7)2 D. Prime
Find the foci and endpoints of each axis for the given ellipse. + y2 = 1
A. Foci: (±, 0); vertices: (± 14 , 0);
endpoints of the minor axis: (0, ± 1)
B. Foci: (± 143, 0); vertices: (± 144 , 0);
endpoints of the minor axis: (0, ± 1)
C. Foci: (± , 0); vertices: (± 12, 0);
endpoints of the minor axis: (0, ± 1)
D. Foci: (0 , ±); vertices: (± 12, 0);
endpoints of the minor axis: (± 1, 0)