Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions.2y2 = 3y - 4
A. Two different imaginary solutions
B. Two different irrational solutions
C. Two different rational solutions
D. Exactly one rational solution
Answer: A
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Solve the equation graphically, numerically, or symbolically. If appropriate, round the solution to hundredths. ?k? - 6 = -3
A. 3, -3 B. -3 C. -9, 9 D. 3
Solve the linear programming 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. The camp 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. 13 counselors and 17 aides B. 19 counselors and 23 aides C. 8 counselors and 12 aides D. 13 counselors and 16 aides
The graph of f(x) = ax2 + bx + c is given in the figure. Solve the equation
A. 0 B. -5 C. 5 D. No real solutions
Find the coordinates of the midpoint of the line segment PQ.P(2, 2), Q(6, 4)
A. (-4, -2)
B.
C.
D. (8, 6)