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mathematics
precalculus

Precalculus 9th edition Michael Sullivan - Solutions

Solve each system of equations using matrices. If the system has no solution, say that it is inconsistent. Зх — 2у %3D 1 10х + 10у 3 5
Find the inverse, if there is one, of each matrix. If there is not an inverse, say that the matrix is singular. -3 1 -6 2
Find the inverse, if there is one, of each matrix. If there is not an inverse, say that the matrix is singular. 4 -8 -1 2.
Find the inverse, if there is one, of each matrix. If there is not an inverse, say that the matrix is singular. 3 1 2 3 2 -1
Find the inverse, if there is one, of each matrix. If there is not an inverse, say that the matrix is singular. 3 3 2 1 -1 2
Find the inverse, if there is one, of each matrix. If there is not an inverse, say that the matrix is singular. -3 -2 2.
Find the inverse, if there is one, of each matrix. If there is not an inverse, say that the matrix is singular. 4 6 3
Use the following matrices to compute each expression. BC 3 -4 -3 2 4 A = I| -2 -1 4.
Use the following matrices to compute each expression. CB 3 -4 -3 2 4 A = I| -2 -1 4.
Use the following matrices to compute each expression. BA 3 -4 -3 2 4 A = I| -2 -1 4.
Use the following matrices to compute each expression. AB 3 -4 -3 2 4 A = I| -2 -1 4.
Use the following matrices to compute each expression. -4B 3 -4 -3 2 4 A = I| -2 -1 4.
Use the following matrices to compute each expression. 6A 3 -4 -3 2 4 A = I| -2 -1 4.
Use the following matrices to compute each expression. A - C 3 -4 -3 2 4 A = I| -2 -1 4.
Use the following matrices to compute each expression. A + C 3 -4 -3 2 4 A = I| -2 -1 4.
Write the system of equations corresponding to the given augmented matrix. 5 -2 0 -3 5 2 -1 2.
Write the system of equations corresponding to the given augmented matrix. 3 2 4 -1
Solve the system of equations using the method of substitution or the method of elimination. If the system has no solution, say that it is inconsistent. х — 4у + 3z %3D 15 15 — 3х + у — 5z %3D —5 – 5z = -5 y -7х — 5у — 9z %3D 10 —7х 10
Solve the system of equations using the method of substitution or the method of elimination. If the system has no solution, say that it is inconsistent. 2х — 4у + z%3D —15 х+ 2у — 4г %3 5х — бу — 2z %3D -3 27
Solve the system of equations using the method of substitution or the method of elimination. If the system has no solution, say that it is inconsistent. х + 5у — Z%3 2x + y + z = y + 2z = 11
Solve the system of equations using the method of substitution or the method of elimination. If the system has no solution, say that it is inconsistent. х + 2у — z %3 2х — у + 3z%3D —13 Зх — 2у + 3z%3D —16 2.x
Solve the system of equations using the method of substitution or the method of elimination. If the system has no solution, say that it is inconsistent. 2.x + 5y = 10 4x + 10y = 20
Solve the system of equations using the method of substitution or the method of elimination. If the system has no solution, say that it is inconsistent. Зх — 2у %3D 8 12 х‑
Solve the system of equations using the method of substitution or the method of elimination. If the system has no solution, say that it is inconsistent. 4х + 5у %3D 21 5х + бу 3D 42
Solve the system of equations using the method of substitution or the method of elimination. If the system has no solution, say that it is inconsistent. (2х 13 = 0 2х + Зу - Зх — 2у 3D 0
Solve the system of equations using the method of substitution or the method of elimination. If the system has no solution, say that it is inconsistent. x +y = 2 y + 4x + 2 = 0
Solve the system of equations using the method of substitution or the method of elimination. If the system has no solution, say that it is inconsistent. х — Зу + 4 %3 0 3 4 3У+ 3 5y + х
Solve the system of equations using the method of substitution or the method of elimination. If the system has no solution, say that it is inconsistent. Sx = 5y + 2 ly = 5x + 2 %3D
Solve the system of equations using the method of substitution or the method of elimination. If the system has no solution, say that it is inconsistent. Sy = 2x – 5 x = 3y + 4
Solve the system of equations using the method of substitution or the method of elimination. If the system has no solution, say that it is inconsistent. x - 3y + 5 = 0 | 2x + 3y – 5 = 0 %3D
Solve the system of equations using the method of substitution or the method of elimination. If the system has no solution, say that it is inconsistent. х — 2у — 4 %3D 0 3х + 2у — 4 %3Dо
Solve the system of equations using the method of substitution or the method of elimination. If the system has no solution, say that it is inconsistent. 2x + y = 13 5х — 4у —
Solve the system of equations using the method of substitution or the method of elimination. If the system has no solution, say that it is inconsistent. Зх — 4у 3 4 х — Зу т -1
Solve the system of equations using the method of substitution or the method of elimination. If the system has no solution, say that it is inconsistent. S2x 2х + Зу 3 2 7х — у%3D 3
Solve the system of equations using the method of substitution or the method of elimination. If the system has no solution, say that it is inconsistent. S2x - y = 5 5x + 2y = 8
An airline has two classes of service: first class and coach. Management’s experience has been that each aircraft should have at least 8 but no more than 16 first-class seats and at least 80 but not more than 120 coach seats. (a) If management decides that the ratio of first class to coach
Kevin’s dog Amadeus likes two kinds of canned dog food. Gourmet Dog costs 40 cents a can and has 20 units of a vitamin complex; the calorie content is 75 calories. Chow Hound costs 32 cents a can and has 35 units of vitamins and 50 calories. Kevin likes Amadeus to have at least 1175 units of
An entrepreneur is having a design group produce at least six samples of a new kind of fastener that he wants to market. It costs $9.00 to produce each metal fastener and $4.00 to produce each plastic fastener. He wants to have at least two of each version of the fastener and needs to have all the
A retired couple has up to $50,000 to place in fixed-income securities. Their financial adviser suggests two securities to them: one is an AAA bond that yields 8% per annum; the other is a certificate of deposit (CD) that yields 4%. After careful consideration of the alternatives, the couple
A factory manufactures two kinds of ice skates: racing skates and figure skates. The racing skates require 6 work-hours in the fabrication department, whereas the figure skates require 4 work-hours there. The racing skates require 1 work-hour in the finishing department, whereas the figure skates
The Mom and Pop Ice Cream Company makes two kinds of chocolate ice cream: regular and premium. The properties of 1 gallon (gal) of each type are shown in the table: In addition, current commitments require the company to make at least 1 gal of premium for every 4 gal of regular. Each day, the
A meat market combines ground beef and ground pork in a single package for meat loaf. The ground beef is 75% lean (75% beef, 25% fat) and costs the market $0.75 per pound (lb). The ground pork is 60% lean and costs the market $0.45/lb. The meat loaf must be at least 70% lean. If the market wants to
In a factory, machine 1 produces 8-inch (in.) pliers at the rate of 60 units per hour (hr) and 6-in. pliers at the rate of 70 units/hr. Machine 2 produces 8-in. pliers at the rate of 40 units/hr and 6-in. pliers at the rate of 20 units/hr. It costs $50/hr to operate machine 1, and machine 2 costs
An investment broker is instructed by her client to invest up to $20,000, some in a junk bond yielding 9% per annum and some in Treasury bills yielding 7% per annum. The client wants to invest at least $8000 in T-bills and no more than $12,000 in the junk bond. (a) How much should the broker
The student activities department of a community college plans to rent buses and vans for a spring break trip. Each bus has 40 regular seats and 1 handicapped seat; each van has 8 regular seats and 3 handicapped seats. The rental cost is $350 for each van and $975 for each bus. If 320 regular and
A banquet hall offers two types of tables for rent: 6-person rectangular tables at a cost of $28 each and 10-person round tables at a cost of $52 each. Kathleen would like to rent the hall for a wedding banquet and needs tables for 250 people. The room can have a maximum of 35 tables and the hall
A farmer has 70 acres of land available for planting either soybeans or wheat. The cost of preparing the soil, the workdays required, and the expected profit per acre planted for each type of crop are given in the following table:The farmer cannot spend more than $1800 in preparation costs nor use
A manufacturer of skis produces two types: downhill and cross-country. Use the following table to determine how many of each kind of ski should be produced to achieve a maximum profit. What is the maximum profit? What would the maximum profit be if the time available for manufacturing is increased
Solve each linear programming problem.Maximize z = 2x + 4y subject to x ≥ 0, y ≥ 0, 2x + y ≥ 4, x + y ≤ 9
Solve each linear programming problem.Maximize z = 5x + 2y subject to x ≥ 0, y ≥ 0, x + y ≤ 10, 2x + y ≥ 10, x + 2y ≥ 10
Solve each linear programming problem.Minimize z = 2x + 3y subject to x ≥ 0, y ≥ 0, x + y ≥ 3, x + y ≤ 9, x + 3y ≥ 6
Solve each linear programming problem.Minimize z = 5x + 4y subject to x ≥ 0, y ≥ 0, x + y ≥ 2, 2x + 3y ≤ 12, 3x + y ≤ 12
Solve each linear programming problem.Maximize z = 5x + 3y subject to x ≥ 0, y ≥ 0, x + y ≥ 2, x + y ≤ 8, 2x + y ≤ 10
Solve each linear programming problem.Maximize z = 3x + 5y subject to x ≥ 0, y ≥ 0, x + y ≥ 2, 2x + 3y ≤ 12, 3x + 2y ≤ 12
Solve each linear programming problem.Minimize z = 3x + 4y subject to x ≥ 0, y ≥ 0, 2x + 3y ≥ 6, x + y ≤ 8
Solve each linear programming problem.Minimize z = 2x + 5y subject to x ≥ 0, y ≥ 0, x + y ≥ 2, x ≤ 5, y ≤ 3
Solve each linear programming problem.Maximize z = x + 3y subject to x ≥ 0, y ≥ 0, x + y ≥ 3, x ≤ 5, y ≤ 7
Solve each linear programming problem.Maximize z = 2x + y subject to x ≥ 0, y ≥ 0, x + y ≤ 6, x + y ≥ 1
Find the maximum and minimum value of the given objective function of a linear programming problem. The figure illustrates the graph of the feasible points. z = 7x + 5y У. 8. F(0, 6) (5, 6)| (0, 3) (5, 2) -4 8 X (4, 0), -1F
Find the maximum and minimum value of the given objective function of a linear programming problem. The figure illustrates the graph of the feasible points. z = 5x + 7y У. 8. F(0, 6) (5, 6)| (0, 3) (5, 2) -4 8 X (4, 0), -1F
Find the maximum and minimum value of the given objective function of a linear programming problem. The figure illustrates the graph of the feasible points. z = 10x + y У. 8. F(0, 6) (5, 6)| (0, 3) (5, 2) -4 8 X (4, 0), -1F
Find the maximum and minimum value of the given objective function of a linear programming problem. The figure illustrates the graph of the feasible points. z = x + 10y У. 8. F(0, 6) (5, 6)| (0, 3) (5, 2) -4 8 X (4, 0), -1F
Find the maximum and minimum value of the given objective function of a linear programming problem. The figure illustrates the graph of the feasible points. z = 2x + 3y У. 8. F(0, 6) (5, 6)| (0, 3) (5, 2) -4 8 X (4, 0), -1F
Find the maximum and minimum value of the given objective function of a linear programming problem. The figure illustrates the graph of the feasible points. z = x + y У. 8. F(0, 6) (5, 6)| (0, 3) (5, 2) -4 8 X (4, 0), -1F
True or False.If a linear programming problem has a solution, it is located at a corner point of the graph of the feasible points.
A linear programming problem requires that a linear expression, called the _____________, be maximized or minimized.
A small truck can carry no more than 1600 pounds (lb) of cargo nor more than 150 cubic (ft3 ) of cargo. A printer weighs 20 lb and occupies 3 ft3 of space. A microwave oven weighs 30 lb and occupies 2 ft3 of space. (a) Using x to represent the number of microwave ovens and y to represent the
Nola’s Nuts, a store that specializes in selling nuts, has available 90 pounds (lb) of cashews and 120 lb of peanuts.These are to be mixed in 12-ounce (oz) packages as follows: a lower-priced package containing 8 oz of peanuts and 4 oz of cashews and a quality package containing 6 oz of peanuts
Bill’s Coffee House, a store that specializes in coffee, has available 75 pounds (lb) of A grade coffee and 120 lb of B grade coffee. These will be blended into 1-lb packages as follows: An economy blend that contains 4 ounces (oz) of A grade coffee and 12 oz of B grade coffee and a superior
Mike’s Toy Truck Company manufactures two models of toy trucks, a standard model and a deluxe model. Each standard model requires 2 hours (hr) for painting and 3 hr for detail work; each deluxe model requires 3 hr for painting and 4 hr for detail work. Two painters and three detail workers are
A retired couple has up to $50,000 to invest. As their financial adviser, you recommend that they place at least $35,000 in Treasury bills yielding 1% and at most $10,000 in corporate bonds yielding 3%. (a) Using x to denote the amount of money invested in Treasury bills and y the amount
Write a system of linear inequalities for the given graph. У 10 (5, 6) (0,6) (0, 3) (5, 2) (4, 0) -4 8 х 2.
Write a system of linear inequalities for the given graph. (0, 50) 40 (20, 30) (20, 20) 20 (0, 15) (15. 15) 50 10 30 х
Write a system of linear inequalities for the given graph. 8 (0, 5)| (6, 5) (0, 2) (6, 0) E(2, 0) 8 X -2
Write a system of linear inequalities for the given graph. УА (0, 6) (4, 2) -2 (0, 0) |(4, 0) -2-
Graph each system of linear inequalities. Tell whether the graph is bounded or unbounded, and label the corner points. х2 0 х + 2у 2 1 х + 2у < 10 х+ у> 2 х+ у& 8
Graph each system of linear inequalities. Tell whether the graph is bounded or unbounded, and label the corner points. х2 0 У х + 2у 2 1 х + 2у < 10
Graph each system of linear inequalities. Tell whether the graph is bounded or unbounded, and label the corner points. y > 0 x + y > 2 x + y< 8 x + 2y 2 1
Graph each system of linear inequalities. Tell whether the graph is bounded or unbounded, and label the corner points. х2 0 y > 0 х+у2 2 х +уS 8 2х + у S 10
Graph each system of linear inequalities. Tell whether the graph is bounded or unbounded, and label the corner points. y 2 0 x + y > 2 x + y < 8 2x + y > 10
Graph each system of linear inequalities. Tell whether the graph is bounded or unbounded, and label the corner points. х2 0 y 2 0 х+ у 2 2х + Зу S 12 < 12 Зх + у< 12
Graph each system of linear inequalities. Tell whether the graph is bounded or unbounded, and label the corner points. х20 y > 0 3х + у S 6 2х + у < 2
Graph each system of linear inequalities. Tell whether the graph is bounded or unbounded, and label the corner points. y 2 0 x + y > 2 2x + y 2 4
Graph each system of linear inequalities. Tell whether the graph is bounded or unbounded, and label the corner points. У x + y 2 4 2х + Зу 2 6
Graph each system of linear inequalities. Tell whether the graph is bounded or unbounded, and label the corner points. х20 y > 0 уs б х + 2у < 6 2х +
Graph the system of inequalities. Sy + x² < 1 ly z x – 1 >.
Graph the system of inequalities. Sxy z lух+1
Graph the system of inequalities. Jx² + y? < 25 lysx - 5
Graph the system of inequalities. x2 + y? < 16 ly = x – 4
Graph the system of inequalities. y² < x
Graph the system of inequalities. Ју - 4 Уx — 2
Graph the system of inequalities. Sx² + y² > 9 lx + y
Graph the system of inequalities. Sx² + y? < 9 + y 2 3 х
Graph the system of linear inequalities. 2х + у2 0 2х + у 2 2
Graph the system of linear inequalities. 2х + Зу 2 6 2х + Зу < 0
Graph the system of linear inequalities. x - 4y < 4 x – 4y 2 0
Graph the system of linear inequalities. | 2х (2х + у + y 2 -2 2
Graph the system of linear inequalities. x + 4y < 8 x + 4y 2 4
Graph the system of linear inequalities. – 2y < 6 х — 2у |2х — 4у 2 0 2.x
Graph the system of linear inequalities. 4x - y> 2 x + 2y 2 2

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