Use a system of equations to solve problem.Find the equation of the parabola y = ax2 + bx +c that passes through the points (3, 4), (1, -5), and (-3, 3).
A. y = x2 +
x -
B. y = - x2 -
x +
C. y = - x2 +
x -
D. y = - x2 +
x -
Answer: A
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Use the two steps for solving a linear programming problem to 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. 19 counselors and 23 aides B. 13 counselors and 16 aides C. 13 counselors and 17 aides D. 8 counselors and 12 aides
Solve the problem.An election is held among six candidates (A, B, C, D, E and F) and A gets a plurality of the first place votes but C wins the election. Which of the following methods could have been the method used to decide this election?
A. The method of pairwise comparisons. B. The Borda count method. C. The plurality-with-elimination method. D. all of these E. none of these
Use a combination of rules for exponents to simplify. Write answers with only positive exponents. Assume that all variables represent nonzero real numbers.9
-8
A. 36r17
B.
C. 36r
D. 6r
Provide an appropriate response.Simplify. 4[-6(7x + 2) - 5(7x - 5)]
A. -308x + 28 B. -308x + 52 C. -203x + 13 D. -308x - 148