Use graphical methods to find values of x and y satisfying the given conditions. Find the value of the maximum or minimum.Find x ? 0 and y ? 0 such that3x + 2y ? 6 -2x + 4y ? 8 and z = 2x + 5y is maximized.
A. Maximum of 19 when x = 2 and y = 3
B. Maximum of 10 when x = 0 and y = 2
C. Maximum of when x =
and y =
D. Maximum of when x =
and y = 2
Answer: C
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Solve.A chemist needs 11 liters of a 50% salt solution. All she has available is a 20% salt solution and a 70% salt solution. How much of each of the two solutions should she mix to obtain her desired solution?
A. 3.3 liters of the 20% solution; 7.7 liters of the 70% solution B. 2.2 liters of the 20% solution; 8.8 liters of the 70% solution C. 4.4 liters of the 20% solution; 6.6 liters of the 70% solution D. 5.5 liters of the 20% solution; 5.5 liters of the 70% solution
Provide an appropriate response.The amount a business gets to keep, after paying for all costs and expenses, is termed:
A. net loss B. gross profit C. net profit D. gross margin
Factor completely. If a polynomial cannot be factored, say it is prime.a2 - 4ab - 12b2
A. (a - 2b)(a + 6b) B. (a + 2b)(a - 6b) C. prime D. (a - 2b)(a + b)
Solve the problem. Round money to the nearest cent, rate to the nearest tenth of a percent, and time to the nearest day.Jane Clark borrowed some money from her bank. After 307 days, she paid a maturity value of $11,076, which included interest of $830. Find the interest rate on her loan.
A. 9.4% B. 9.5% C. 10% D. 9.3%