Translate the problem to a system of equations, then solve using Cramer's Rule.The sum of a student's three scores is 218. If the first is 22 points more than the second, and the sum of the first two is 14 more than twice the third, what was the first score?
A. 46
B. 68
C. 86
D. 64
Answer: C
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Solve the problem.The addition of sinusoidal functions is one way of describing the interaction of some physical entities, such as light beams, sounds, and radio signals. Write the first four terms of the series expansion for the sum
A. 8x + 3x2 - 36x3 - x4 + ...
B. 8x - 3x2 + 36x3 + x4 + ...
C. 8x + 6x2 - 36x3 - x4 + ...
D. 8 + 3x - 36x2 - x3 + ...
Determine whether the given inequality is quadratic.x2 + 7x ? x3 - 4
A. Yes B. No
Use a graphing calculator to plot the data and find the quadratic function of best fit.A rock is dropped from a tall building and its distance (in feet) below the point of release is recorded as accurately as possible at various times after the moment of release. The results are shown in the table. Find the regression equation of the best model.
A. y = 15.95x2 B. y = -74.9 + 290 lnx C. y = - 148.4 + 112x D. y = 13.0 e0.686x
Solve the problem.A summer camp wants to hire counselors and aides to fill its staffing needs at minimum cost. The average monthly salary of a counselor is $2400 and the average monthly salary of an aide is $1100. The camp can accommodate up to 35 staff members and needs at least 20 to run properly. They must have at least 10 aides, and may have up to 3 aides for every 2 counselors. How many counselors and how many aides should the camp hire to minimize cost?
A. 8 counselors and 12 aides B. 13 counselors and 17 aides C. 13 counselors and 16 aides D. 19 counselors and 23 aides