Find the reciprocal, if it exists.
A.
B.
C. 8x
D. No reciprocal
Answer: C
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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
Use the change of base formula and the properties of logarithms to rewrite the expression as a single logarithm in the indicated base.log81 x12 + log27 y9 - log9 w6, base 3
A. log3(x3 + y3 - z3)
B. log3 x3y3z3
C. log3
D. log3
Solve the problem.A grain dealer sold to one customer 9 bushels of wheat, 7 of corn, and 8 of rye, for $94.40; to another, 7 of wheat, 8 of corn, and 9 of rye, for $95.80; and to a third, 8 of wheat, 9 of corn, and 7 of rye, for $95.40. What was the price per bushel for corn?
A. $4.00 B. $4.30 C. $3.50 D. $4.10
Find two sets of parametric equations for the given rectangular equation.y = 8x + 7
A. x = t, y = 8t + 7; x = t, y = + 7
B. x = t, y = 8t + 7; x = 8t, y = t + 7
C. x = 8t, y = t + 7; x = , y = t + 7
D. x = t, y = 8t + 7; x = , y = t + 7