Test 315 1 5 1 2 17 5 11. 12. 13. 4x 5 2y 1 4 x y 1x 22 1 6 y 0.03y 0.06x 0.3 0.4x 2 0.5y y 2x 4 For Exercises 14–16, graph the solution set. 14. 2x 5y 10 5 4 543 2 1 1 2 3 4 5 1 2 3 4 5 y x 3 2 1 5 4 543 21 1 2 3 4 5 1 2 3 4 5 y x 3 2 1 5 4 y 543 2 3 1 1 2 3 4 5 x 3 2 4 5 1 2 1 15. and x y 6 3 3x 2y 7 6 16. 5x 5 or x y 0 17. After menopause, women are at higher risk for hip fractures as a result of low calcium. As early as their teen years, women need at least 1200 mg of calcium per day (the USDA recommended daily allowance). One 8-oz glass of skim milk contains 300 mg of calcium, and one antacid tablet (regular strength) contains 400 mg of calcium. Let x represent the number of 8-oz glasses of milk that a woman drinks per day. Let y represent the number of antacid tablets (regular strength) that a woman takes per day. a. Write two inequalities that express the fact that the number of glasses of milk and the number of antacid tablets taken each day cannot be negative. b. Write a linear inequality in terms of x and y for which the daily calcium intake is at least 1200 mg. c. Graph the inequalities. 5 4 543 21 1 2 3 4 5 1 2 3 4 5 y x 3 2 1 For Exercises 18–19, solve the system. 18. 19. 2x 2y 4z 6 3x y 2z 29 x y z 44 21x z2 6 x 3y 2x 11 y z 20. Aiko borrows a total of $5000 from two lenders. One charges 6.5% simple interest and the other charges 5% simple interest. If the total interest paid at the end of 1 yr is $268, how much did she borrow from each lender? 21. How many liters of a 20% acid solution should be mixed with a 60% acid solution to produce 200 L of a 44% acid solution? 22. Two angles are complementary.Two times the measure of one angle is 60° less than the measure of the other. Find the measure of each angle. x 21y z2 8 23. Working together, Joanne, Kent, and Geoff can process 504 orders per day for their business. Kent can process 20 more orders per day than Joanne can process. Geoff can process 104 fewer orders per day than Kent and Joanne combined. Find the number of orders that each person can process per day. 24. Write an example of a 3 2 matrix.
miller_intermediate_algebra_4e_ch1_3
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