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Section 3 1 Graphing Systems of Linear Inequalities in Two Variables Procedure for Graphing Linear Inequalities: 1 Draw the graph of the equation obtained for the given inequality by replacing the inequality sign with an equal sign Use a dashed line if the problem involves a strict inequality, < or >
Section 3 2 Linear Programming Problems Linear Programming Problem A linear programming problem consists of a linear objective function to be maximized or minimized subject to certain constraints in the form of linear inequalities For the following linear programming problems, set up but do not solve
3 4 (y 3)2 = u2 16 + p 3 36 y2 (the second term I know by using the pythagorean theorem to solve for the height of the triangle) In this problem, the constraining equation is given by u+y = 12 What I’d like to do is take my expression for area and optimize it The problem is again it sits as a function of two variables instead of one Once
3 T , find the values of sinT, tanT, and secT Example: Use the trig identities to transform the left side of the equation into the right side 1 cos sec 1TT 2 tan cos sinD D D 3 sec tan sec tan 1T T T T 4 sin cos 2sin 12 2 2T T T
y – 2 + 3y = 10 A 2 B 3 C 4 D 5 E 6 28 Read the information below; then answer the question that follows A refrigerator in a school cafeteria is partially filled with 42 sandwiches There are 13 turkey sandwiches, 14 cheese sandwiches, and 15 egg salad sandwiches By the end of the lunch period, 21 of the sandwiches have been sold
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Sec 3 1 – 1 POPULATION: A population is the entire group of objects being studied considered a collection of all outcomes, responses, measurements or counts that are of interest Parameter [Greek variables] : A measure or count of the entire population 2 SAMPLE: A subset of the population
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Supplies: Loose-leaf, graph paper, Duo-Tang or 3-ring binder, 2 notebooks (graph or lined paper, 40 – 80 pages), pencils, eraser, ruler, scientific calculator (non-graphing) iPads may be used in class to complete homework The overall grade for the course will be calculated as follows: Term 1 20 Term 2 20 Term 3 60
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Section 3 7 Optimization An optimization problem is essentially a word problem which asks you to maximize or minimize a certain quantity Nearly all optimization problems can be solved by employing a flxed strategy It goes something like this: † Read and re-read the problem until you understand it In particular, make sure you know the quantity you are being asked to maximize or minimize
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Section 31 Graphing Systems of Linear Inequalities in Two
Section 3 1 Graphing Systems of Linear Inequalities in Two Variables Procedure for Graphing Linear Inequalities: 1 Draw the graph of the equation obtained for the given inequality by replacing the inequality sign with an equal sign Use a dashed line if the problem involves a strict inequality, < or > Otherwise, use a solid line to indicate that the line itself constitutes part of the
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