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College Algebra 12th edition Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels - Solutions

Then solve to obtain the solution set {-1}. Use this method to solve each equation. 3 х х х
Then solve to obtain the solution set {-1}. Use this method to solve each equation. -0.5 2 х х
Then solve to obtain the solution set {-1}. Use this method to solve each equation. = 6 -3 2
Evaluate each determinant.
Answer each question.What is the value of 4 4 -2 -2
Answer the question.What is the value of 4 -2
To model spring fawn count F from adult pronghorn population A, precipitation P, and severity of the winter W, environmentalists have used the equation F = a + bA + cP + dW, where a, b, c, and d are constants that must be determined before using the equation. (Winter severity is scaled between 1
To model spring fawn count F from adult pronghorn population A, precipitation P, and severity of the winter W, environmentalists have used the equation F = a + bA + cP + dW, where a, b, c, and d are constants that must be determined before using the equation. (Winter severity is scaled between 1
To model spring fawn count F from adult pronghorn population A, precipitation P, and severity of the winter W, environmentalists have used the equation F = a + bA + cP + dW, where a, b, c, and d are constants that must be determined before using the equation. (Winter severity is scaled between 1
To model spring fawn count F from adult pronghorn population A, precipitation P, and severity of the winter W, environmentalists have used the equation F = a + bA + cP + dW, where a, b, c, and d are constants that must be determined before using the equation. (Winter severity is scaled between 1
Suppose that a supercomputer can execute up to 60 billion arithmetic operations per second. How many hours would be required to solve a linear system with 100,000 variables?
If the number of equations and variables is doubled, does the number of arithmetic operations double?
In 1940, John Atanasoff, a physicist from Iowa State University, wanted to solve a 29 × 29 linear system of equations. How many arithmetic operations would this have required? Is this too many to do by hand? (Atanasoff’s work led to the invention of the first fully electronic digital computer.)
When computers are programmed to solve large linear systems involved in applications like designing aircraft or electrical circuits, they frequently use an algorithm that is similar to the Gauss-Jordan method presented in this section. Solving a linear system with n equations and n variables
At rush hours, substantial traffic congestion is encountered at the traffic intersections shown in the figure. (All streets are one-way.) The city wishes to improve the signals at these corners to speed the flow of traffic. The traffic engineers first gather data. As the figure shows, 700 cars per
Solve each problem using matrices.The relationship between a professional basketball player’s height H (in inches) and weight W (in pounds) was modeled using two different samples of players. The resulting equations that modeled the two samples were W = 7.46H - 374 and W = 7.93H - 405.(a)
In 2015, 19.7% of the U.S. population was aged 40–54. This percent is expected to decrease to 18.7% in 2050.(a) Write a linear equation representing this population change.(b) Solve the system containing the equation from part (a) and the equation from Exercise 67 for the 65-or-older age group.
In 2015, 14.8% of the population was 65 or older. By 2050, this percent is expected to be 20.9%. The percent of the population aged 25–39 in 2015 was 20.0%. That age group is expected to include 10.3% of the population in 2050.(a) Assuming these population changes are linear, use the data for the
In Exercise 65, suppose that, in addition to the conditions given there, foods A and B cost $0.02 per gram, food C costs $0.03 per gram, and a meal must cost $8. Is a solution possible?Exercise 65In a special diet for a hospital patient, the total amount per meal of food groups A, B, and C must
In a special diet for a hospital patient, the total amount per meal of food groups A, B, and C must equal 400 g. The diet should include one-third as much of group A as of group B. The sum of the amounts of group A and group C should equal twice the amount of group B. How many grams of each food
An investor deposited some money at 1.75% annual interest, some at 2.25%, and twice as much as the sum of the first two at 2.5%. The total amount invested was $30,000, and the total annual interest earned was $710. How much was invested at each rate?
An investor deposited some money at 1.5% annual interest, and two equal but larger amounts at 2.2% and 2.4%. The total amount invested was $25,000, and the total annual interest earned was $535. How much was invested at each rate?
A small company took out three loans totaling $25,000. The company was able to borrow some of the money at 4% interest. It borrowed $2000 more than one-half the amount of the 4% loan at 6%, and the rest at 5%. The total annual interest was $1220. How much did the company borrow at each rate?
A chemist has two prepared acid solutions, one of which is 2% acid by volume, the other 7% acid. How many cubic centimeters of each should the chemist mix together to obtain 40 cm3 of a 3.2% acid solution?
To meet a sales quota, a car salesperson must sell 24 new cars, consisting of small, medium, and large cars. She must sell 3 more small cars than medium cars, and the same number of medium cars as large cars. How many of each size must she sell?
Find three numbers whose sum is 20, if the first number is three times the difference between the second and the third, and the second number is two more than twice the third.
At the Everglades Nut Company, 5 lb of peanuts and 6 lb of cashews cost $33.60, while 3 lb of peanuts and 7 lb of cashews cost $32.40. Find the cost of a single pound of peanuts and a single pound of cashews.
Solve each problem using the Gauss-Jordan method.Dan is a building contractor. If he hires 7 day laborers and 2 concrete finishers, his payroll for the day is $1384. If he hires 1 day laborer and 5 concrete finishers, his daily cost is $952. Find the daily wage for each type of worker.
For each equation, determine the constants A and B that make the equation an identity. 2х (x + 2)(х — 1) х+2 х — 1
For each equation, determine the constants A and B that make the equation an identity. A х (х — а)(х + а) х+а х— а
For each equation, determine the constants A and B that make the equation an identity. х+4 A B x2 x2 х
For each equation, determine the constants A and B that make the equation an identity. A B х-1 х+1 (х — 1)(х + 1)
Solve each system using a graphing calculator capable of performing row operations. Give solutions with values correct to the nearest thousandth. V5x – 1.2y + z = -3 4 Зу + 42 %3 3 4х + 7y — 9z %3D V2
Solve each system using a graphing calculator capable of performing row operations. Give solutions with values correct to the nearest thousandth. 0.3x + 2.7y – V2z = 3 V7x - 12z = -2 20y + 3 V3y - 1.2z = 4 Зу 4x +
Use the Gauss-Jordan method to solve each system of equations. For systems in two variables with infinitely many solutions, give the solution with y arbitrary. For systems in three variables with infinitely many solutions, give the solution with z arbitrary.2x + y - z + 3w = 03x - 2y + z - 4w =
Use the Gauss-Jordan method to solve each system of equations. For systems in two variables with infinitely many solutions, give the solution with y arbitrary. For systems in three variables with infinitely many solutions, give the solution with z arbitrary.x + 3y - 2z - w = 94x + y + z + 2w = 2-3x
Use the Gauss-Jordan method to solve each system of equations. For systems in two variables with infinitely many solutions, give the solution with y arbitrary. For systems in three variables with infinitely many solutions, give the solution with z arbitrary.x + 2y + z - 3w = 7y + z = 0x - w = 4-x +
Use the Gauss-Jordan method to solve each system of equations. For systems in two variables with infinitely many solutions, give the solution with y arbitrary. For systems in three variables with infinitely many solutions, give the solution with z arbitrary.x - y + 2z + w = 4y + z = 3z - w = 2x - y
Use the Gauss-Jordan method to solve each system of equations. For systems in two variables with infinitely many solutions, give the solution with y arbitrary. For systems in three variables with infinitely many solutions, give the solution with z arbitrary.5x - 3y + z = 12x + y - z = 4
Use the Gauss-Jordan method to solve each system of equations. For systems in two variables with infinitely many solutions, give the solution with y arbitrary. For systems in three variables with infinitely many solutions, give the solution with z arbitrary.x - 8y + z = 43x - y + 2z = -1
Use the Gauss-Jordan method to solve each system of equations. For systems in two variables with infinitely many solutions, give the solution with y arbitrary. For systems in three variables with infinitely many solutions, give the solution with z arbitrary.3x + y + 3z - 1 = 0x + 2y - z - 2 = 02x -
Use the Gauss-Jordan method to solve each system of equations. For systems in two variables with infinitely many solutions, give the solution with y arbitrary. For systems in three variables with infinitely many solutions, give the solution with z arbitrary.3x + 5y - z + 2 = 04x - y + 2z - 1 = 0-6x
Use the Gauss-Jordan method to solve each system of equations. For systems in two variables with infinitely many solutions, give the solution with y arbitrary. For systems in three variables with infinitely many solutions, give the solution with z arbitrary.4x + 2y - 3z = 6x - 4y + z = -4-x + 2z = 2
Use the Gauss-Jordan method to solve each system of equations. For systems in two variables with infinitely many solutions, give the solution with y arbitrary. For systems in three variables with infinitely many solutions, give the solution with z arbitrary.2x - y + 3z = 0x + 2y - z = 52y + z = 1
Use the Gauss-Jordan method to solve each system of equations. For systems in two variables with infinitely many solutions, give the solution with y arbitrary. For systems in three variables with infinitely many solutions, give the solution with z arbitrary.x = -y + 1z = 2xy = -2z - 2
Use the Gauss-Jordan method to solve each system of equations. For systems in two variables with infinitely many solutions, give the solution with y arbitrary. For systems in three variables with infinitely many solutions, give the solution with z arbitrary.y = -2x - 2z + 1x = -2y - z + 2z = x - y
Use the Gauss-Jordan method to solve each system of equations. For systems in two variables with infinitely many solutions, give the solution with y arbitrary. For systems in three variables with infinitely many solutions, give the solution with z arbitrary.-x + y = -1y - z = 6x + z = -1
Use the Gauss-Jordan method to solve each system of equations. For systems in two variables with infinitely many solutions, give the solution with y arbitrary. For systems in three variables with infinitely many solutions, give the solution with z arbitrary.x - z = -3y + z = 9x + z = 7
Use the Gauss-Jordan method to solve each system of equations. For systems in two variables with infinitely many solutions, give the solution with y arbitrary. For systems in three variables with infinitely many solutions, give the solution with z arbitrary.x + 3y - 6z = 72x - y + z = 1x + 2y + 2z
Use the Gauss-Jordan method to solve each system of equations. For systems in two variables with infinitely many solutions, give the solution with y arbitrary. For systems in three variables with infinitely many solutions, give the solution with z arbitrary.x + y - z = 62x - y + z = -9x - 2y + 3z =
Use the Gauss-Jordan method to solve each system of equations. For systems in two variables with infinitely many solutions, give the solution with y arbitrary. For systems in three variables with infinitely many solutions, give the solution with z arbitrary.-x + 2y + 6z = 23x + 2y + 6z = 6x + 4y -
Use the Gauss-Jordan method to solve each system of equations. For systems in two variables with infinitely many solutions, give the solution with y arbitrary. For systems in three variables with infinitely many solutions, give the solution with z arbitrary.x + y - 5z = -183x - 3y + z = 6x + 3y -
Use the Gauss-Jordan method to solve each system of equations. For systems in two variables with infinitely many solutions, give the solution with y arbitrary. For systems in three variables with infinitely many solutions, give the solution with z arbitrary. 3 -x + 4 10x + 12y = 5
Use the Gauss-Jordan method to solve each system of equations. For systems in two variables with infinitely many solutions, give the solution with y arbitrary. For systems in three variables with infinitely many solutions, give the solution with z arbitrary. 3 2 -6x + 8y = –14 ||
Use the Gauss-Jordan method to solve each system of equations. For systems in two variables with infinitely many solutions, give the solution with y arbitrary. For systems in three variables with infinitely many solutions, give the solution with z arbitrary.3x - 2y = 16x - 4y = -1
Use the Gauss-Jordan method to solve each system of equations. For systems in two variables with infinitely many solutions, give the solution with y arbitrary. For systems in three variables with infinitely many solutions, give the solution with z arbitrary.2x - y = 64x - 2y = 0
Use the Gauss-Jordan method to solve each system of equations. For systems in two variables with infinitely many solutions, give the solution with y arbitrary. For systems in three variables with infinitely many solutions, give the solution with z arbitrary.2x - 3y - 10 = 02x + 2y - 5 = 0
Use the Gauss-Jordan method to solve each system of equations. For systems in two variables with infinitely many solutions, give the solution with y arbitrary. For systems in three variables with infinitely many solutions, give the solution with z arbitrary.6x - 3y - 4 = 03x + 6y - 7 = 0
Use the Gauss-Jordan method to solve each system of equations. For systems in two variables with infinitely many solutions, give the solution with y arbitrary. For systems in three variables with infinitely many solutions, give the solution with z arbitrary.2x - 5y = 103x + y = 15
Use the Gauss-Jordan method to solve each system of equations. For systems in two variables with infinitely many solutions, give the solution with y arbitrary. For systems in three variables with infinitely many solutions, give the solution with z arbitrary.3x + 2y = -92x - 5y = -6
Use the Gauss-Jordan method to solve each system of equations. For systems in two variables with infinitely many solutions, give the solution with y arbitrary. For systems in three variables with infinitely many solutions, give the solution with z arbitrary.x + 2y = 52x + y = -2
Use the Gauss-Jordan method to solve each system of equations. For systems in two variables with infinitely many solutions, give the solution with y arbitrary. For systems in three variables with infinitely many solutions, give the solution with z arbitrary.x + y = 5x - y = -1
Write the system of equations associated with each augmented matrix.Do not solve. AU PLOAT CB) 12 a 1 91 e 1 1 5
Write the system of equations associated with each augmented matrix.Do not solve. aA PLOAT ITR EHE AIAH H CAI e 21 -4 1015
Write the system of equations associated with each augmented matrix.Do not solve. 3 4.
Write the system of equations associated with each augmented matrix.Do not solve. Г1 2] 3 -2
Write the system of equations associated with each augmented matrix.Do not solve. [2 3 12 4 -3 10 [5 0 -4 -11
Write the system of equations associated with each augmented matrix.Do not solve. 3 2 22 4 -1 -2 3 15
Write the augmented matrix for each system and give its dimension. Do not solve.4x - 2y + 3z - 4 = 03x + 5y + z - 7 = 05x - y + 4z - 7 = 0
Write the augmented matrix for each system and give its dimension. Do not solve.2x + y + z - 3 = 03x - 4y + 2z + 7 = 0x + y + z - 2 = 0
Write the augmented matrix for each system and give its dimension. Do not solve.3x + 5y = -132x + 3y = -9
Write the augmented matrix for each system and give its dimension. Do not solve.2x + 3y = 11x + 2y = 8
Use the given row transformation to change each matrix as indicated. 1 5 6 4 times row 1 added to row 2 -4 -1 2
Use the given row transformation to change each matrix as indicated. 2 times row 1 added to row 2 -2 3 4 7
Use the given row transformation to change each matrix as indicated. -4 -7 times row 1 added to row 2 [7 0.
Use the given row transformation to change each matrix as indicated. -4 times row 1 added to row 2 4 7
By what number must the first row of the augmented matrix of Exercise 5 be multiplied so that when it is added to the second row, the element in the second row, first column becomes 0?Exercise 5What is the augmented matrix of the following system?3x + 2y = 5-9x + 6z = 1-8y + z = 4
What is the augmented matrix of the following system?3x + 2y = 5-9x + 6z = 1-8y + z = 4
Answer the question.By what number must the first row of the augmented matrix of Exercise 3 be multiplied so that when it is added to the second row, the element in the second row, first column becomes 0?
Answer each question.What is the augmented matrix of the following system?-3x + 5y = 26x + 2y = 7
Answer each question.What is the element in the second row, first column of the matrix in Exercise 1?Exercise 1How many rows and how many columns does this matrix have? What is its dimension? -2 -2 5 -6 13 9.
Answer each question.How many rows and how many columns does this matrix have? What is its dimension? -2 -2 5 -6 13 9.
Supply and Demand In many applications of economics, as the price of an item goes up, demand for the item goes down and supply of the item goes up. The price where supply and demand are equal is the equilibrium price, and the resulting supply or demand is the equilibrium supply or equilibrium
Supply and Demand In many applications of economics, as the price of an item goes up, demand for the item goes down and supply of the item goes up. The price where supply and demand are equal is the equilibrium price, and the resulting supply or demand is the equilibrium supply or equilibrium
Supply and Demand In many applications of economics, as the price of an item goes up, demand for the item goes down and supply of the item goes up. The price where supply and demand are equal is the equilibrium price, and the resulting supply or demand is the equilibrium supply or equilibrium
Supply and Demand In many applications of economics, as the price of an item goes up, demand for the item goes down and supply of the item goes up. The price where supply and demand are equal is the equilibrium price, and the resulting supply or demand is the equilibrium supply or equilibrium
Supply and Demand In many applications of economics, as the price of an item goes up, demand for the item goes down and supply of the item goes up. The price where supply and demand are equal is the equilibrium price, and the resulting supply or demand is the equilibrium supply or equilibrium
Supply and Demand In many applications of economics, as the price of an item goes up, demand for the item goes down and supply of the item goes up. The price where supply and demand are equal is the equilibrium price, and the resulting supply or demand is the equilibrium supply or equilibrium
Rework Exercise 111 if Guatemala Antigua retails for $12.49 per lb instead of $10.19 per lb. Does the answer seem reasonable?Exercise 111Three varieties of coffee—Arabian Mocha Sanani, Organic Shade Grown Mexico, and Guatemala Antigua— are combined and roasted, yielding a 50-lb batch of coffee
Three varieties of coffee—Arabian Mocha Sanani, Organic Shade Grown Mexico, and Guatemala Antigua— are combined and roasted, yielding a 50-lb batch of coffee beans. Twice as many pounds of Guatemala Antigua, which retails for $10.19 per lb, are needed as of Arabian Mocha Sanani, which retails
Check the solution in Exercise 109, showing that it satisfies all three equations of the system.Exercise 109Solve the system of equations (4), (5), and (6)25x + 40y + 20z = 2200 (4)4x + 2y + 3z = 280 (5)3x + 2y + z = 180 (6)
Solve the system of equations (4), (5), and (6)25x + 40y + 20z = 2200 (4)4x + 2y + 3z = 280 (5)3x + 2y + z = 180 (6)
Jane invests $40,000 received as an inheritance in three parts. With one part she buys mutual funds that offer a return of 2% per year. The second part, which amounts to twice the first, is used to buy government bonds paying 2.5% per year. She puts the rest of the money into a savings account that
Patrick wins $200,000 in the Louisiana state lottery. He invests part of the money in real estate with an annual return of 3% and another part in a money market account at 2.5% interest. He invests the rest, which amounts to $80,000 less than the sum of the other two parts, in certificates of
The sum of the measures of the angles of any triangle is 180°. In a certain triangle, the largest angle measures 55° less than twice the medium angle, and the smallest angle measures 25° less than the medium angle. Find the measures of all three angles.
The perimeter of a triangle is 59 in. The longest side is 11 in. longer than the medium side, and the medium side is 3 in. longer than the shortest side. Find the length of each side of the triangle.
A glue company needs to make some glue that it can sell for $120 per barrel. It wants to use 150 barrels of glue worth $100 per barrel, along with some glue worth $150 per barrel and some glue worth $190 per barrel. It must use the same number of barrels of $150 and $190 glue. How much of the $150
A sparkling-water distributor wants to make up 300 gal of sparkling water to sell for $6.00 per gallon. She wishes to mix three grades of water selling for $9.00, $3.00, and $4.50 per gallon, respectively. She must use twice as much of the $4.50 water as of the $3.00 water. How many gallons of each
A cashier has a total of 30 bills, made up of ones, fives, and twenties. The number of twenties is 9 more than the number of ones. The total value of the money is $351. How many of each denomination of bill are there?
The Fan Cost Index (FCI) is a measure of how much it will cost a family of four to attend a professional sports event. In 2014, the FCI prices for Major League Baseball and the National Football League averaged $345.53. The FCI for baseball was $266.13 less than that for football. What were the

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