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Chapter 11: Q. 6 (page 713)
If the lines that make up a system of two linear equations are coincident, then the system is __________ and the equations are ___________.
If the lines that make up a system of two linear equations are coincident, then the system is consistent and the equations are dependent.
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If a system of equations has no solution, it is said to be _______.
Nutrition A dietitian at Palos Community Hospital wants a patient to have a meal that has 78 grams (g) of protein, 59 g of carbohydrates, and 75 milligrams (mg) of vitamin A. The hospital food service tells the dietitian that the dinner for today is salmon steak, baked eggs, and acorn squash. Each serving of salmon steak has 30 g of protein, 20 g of carbohydrates, and 2 mg of vitamin A. Each serving of baked eggs contains 15 g of protein, 2 g of carbohydrates, and 20 mg of vitamin A. Each serving of acorn squash contains 3 g of protein, 25 g of carbohydrates, and 32 mg of vitamin A. How many servings of each food should the dietitian provide for the patient?
Constructing a Box: A rectangular piece of cardboard, whose area is 216 square centimeters, is made into an open box by cutting a 2-centimeter square from each corner and turning up the sides. See the figure. If the box is to have a volume of 224 cubic centimeters, what size cardboard should you start with?
College Tuition Nikki and Joe take classes at a community college, LCCC, and a local university, SIUE. The number of credit hours taken and the cost per credit hour (2009鈥�2010
academic year, tuition only) are as follows:
(a) Write a matrix A for the credit hours taken by each student and a matrix B for the cost per credit hour.
(b) Compute AB and interpret the results.
A cookie company makes three kinds of cookies, oatmeal raisin, chocolate chip, and shortbread, packaged in small, medium, and large boxes. The small box contains dozen oatmeal raisin and dozen chocolate chip; the medium box has dozen oatmeal raisin, dozen chocolate chip, and dozen shortbread; the large box contains dozen oatmeal raisin, dozen chocolate chip, and dozen shortbread. If you require exactly dozen oatmeal raisin, dozen chocolate chip, and dozen shortbread, how many of each size box should you buy?
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