Solve the problem.The number of students receiving a diploma from a local high school for the years 2000 through 2035 can be projected by the function y = -0.275x2 + 6.05x + 260, where x is the number of years after 2000.a. Is the vertex of the graph of this function a maximum or a minimum?b. Find the input and output at the vertex. Round to the nearest tenth when appropriate.

A. a. minimum
b. (15, 293.3)
B. a. maximum
b. (11, 393.3)
C. a. minimum
b. (11, 293.3)
D. a. maximum
b. (11, 293.3)


Answer: D

Mathematics

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At one high school, students can run the 100-yard dash in a mean of 15.2 seconds with a standard deviation of 0.9 seconds. The times are very closely approximated by a normal curve. Rounding to the nearest tenth of a percent as necessary, find the percent of times that are:Less than 15.2 seconds

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Factor as completely as possible. If unfactorable, indicate that the polynomial is prime.20x2 + 31x + 12

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Solve the problem.A man earned $3000 the first year he worked. If he received a raise of $400 at the end of each year, what was his salary during the 15th year?

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Solve the problem.A ball is dropped from a height of 25 feet. Each time it strikes the ground, it bounces up to 0.7 of the previous height. The total distance the ball has travelled before the second bounce is  feet, and the total distance the ball has travelled before bounce n + 1 is 25 + feet.Use facts about infinite geometric series to calculate the total distance the ball has travelled by the time it has stopped bouncing.

Fill in the blank(s) with the appropriate word(s).

Mathematics