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College Algebra 7th Edition Robert F Blitzer - Solutions
In Exercises 5–18, solve each system by the substitution method. 5x + 2y = 0 x - 3y = 0
In Exercises 1–26, graph each inequality. y > 1
Fill in each blank so that the resulting statement is true.A company has a graph that shows the money it generates by selling x units of its product. It also has a graph that shows its cost of producing x units of its product. The point of intersection of these graphs is called the
In Exercises 5–14, an objective function and a system of linear inequalities representing constraints are given.a. Graph the system of inequalities representing the constraints.b. Find the value of the objective function at each corner of the graphed region.c. Use the values in part (b) to
In Exercises 1–18, solve each system by the substitution method. 2 Jy² = x² - 9 2y = x - 3
The calorie-nutrient information for an apple and an avocado is given in the table. How many of each should be eaten to get exactly 1000 calories and 100 grams of carbohydrates? Calories Carbohydrates (grams) One Apple 100 24 One Avocado 350 14
Solve each system in Exercises 5–18. z = 3 x + x + 2y - z = 1 2x y +z = 3 N
A travel agent offers two package vacation plans. The first plan costs $360 and includes 3 days at a hotel and a rental car for 2 days. The second plan costs $500 and includes 4 days at a hotel and a rental car for 3 days. The daily charge for the hotel is the same under each plan, as is the daily
In Exercises 5–18, solve each system by the substitution method. √4x + 3y = 0 |2x - y = 0
In Exercises 1–12, solve each system by the method of your choice. Jy = x² - 6 | x² + y² = 8
In Exercises 1–26, graph each inequality. y > -3
In Exercises 9–42, write the partial fraction decomposition of each rational expression. 5x 5r – 1 (x - 2)(x + 1)
In Exercises 1–18, solve each system by the substitution method. x2 + y = 4 (2x + y = 1
Solve each system in Exercises 12–13. 2х - z=1 3x-3y + 4z = 5 4x - 2y + 3z = 4 y у+
In Exercises 1–12, solve each system by the method of your choice. √x - 2y = 4 12y² + xy = 8
In Exercises 13–16, write the partial fraction decomposition of each rational expression. x2 - 6x + 3 X (x - 2)³
Find the maximum value of the objective function z = 3x + 5y subject to the following constraints: x ≥ 0, y ≥ 0, x + y ≤ 6, x ≥ 2.
Solve each system in Exercises 5–18. 2x + y x + y -z = 4 = 2 = 3x + 2y + z = 0 =
In Exercises 11–21, solve each equation, inequality, or system of equations. ید | درا +2
In Exercises 5–14, an objective function and a system of linear inequalities representing constraints are given.a. Graph the system of inequalities representing the constraints.b. Find the value of the objective function at each corner of the graphed region.c. Use the values in part (b) to
In Exercises 5–18, solve each system by the substitution method. 2x + 5y = -4 3x - y = 11
In Exercises 11–21, solve each equation, inequality, or system of equations.4x2 = 8x - 7
In Exercises 1–26, graph each inequality. x² + y² ≤ 1
In Exercises 1–18, solve each system by the substitution method. [xy = 3 x² + y² = 10
In Exercises 9–42, write the partial fraction decomposition of each rational expression. 7x - 4 x² x 12 2
You need to mix a 6% peroxide solution with a 9% peroxide solution to obtain 36 ounces of an 8% peroxide solution. How many ounces of each of the solutions must be used?
In Exercises 11–21, solve each equation, inequality, or system of equations. x + 5 1 x > 2
In Exercises 5–14, an objective function and a system of linear inequalities representing constraints are given.a. Graph the system of inequalities representing the constraints.b. Find the value of the objective function at each corner of the graphed region.c. Use the values in part (b) to
Solve each system in Exercises 12–13. x + 2y z = 5 2xy + 3z = 0 2y + z = 1
In Exercises 13–16, write the partial fraction decomposition of each rational expression. 10x² + 9x - 7 (x + 2)(x² - 1)
Solve each system in Exercises 5–18. x + 3у + 5z = y у - 4z 3x-2y + 9z = 20 -16 36
In Exercises 5–18, solve each system by the substitution method. 2х + 5y = 1 -x + бу = 8
In Exercises 9–42, write the partial fraction decomposition of each rational expression. 9x + 21 x² + 2x - 15 X
In Exercises 1–26, graph each inequality. x² + y² ≤ 4
In Exercises 1–18, solve each system by the substitution method. Jxy = 4 1x² + y² = 8 2
A company is planning to produce and sell a new line of computers. The fixed cost will be $360,000 and it will cost $850 to produce each computer. Each computer will be sold for $1150.a. Write the cost function, C, of producing x computers.b. Write the revenue function, R, from the sale of x
In Exercises 13–16, write the partial fraction decomposition of each rational expression. x² + 4x - 23 (x + 3)(x² + 4)
Solve each system in Exercises 5–18. x + y y - z 2x + y + 3z = -4 1 -21 =
Find the quadratic function y = ax2 + bx + c whose graph passes through the points (1, 4), (3, 20), and (-2, 25).
In Exercises 5–18, solve each system by the substitution method. 2х - 3y = 8 - 2x 3x +4y = x +3y + 14
Find the quadratic function whose graph passes through the points (-1, -2), (2, 1), and (-2, 1).
In Exercises 11–21, solve each equation, inequality, or system of equations.2x3 + x2 - 13x + 6 = 0
In Exercises 1–26, graph each inequality. x² + y² > 25
The greatest cause of death in the 20th century was disease, killing 1390 million people. The bar graph shows the five leading causes of death in that century, excluding disease.War, famine, and tobacco combined resulted in 306 million deaths. The difference between the number of deaths from war
In Exercises 1–18, solve each system by the substitution method. √x + y = 1 x² + xy - y² = -5
The rectangular plot of land shown in the figure is to be fenced along three sides using 39 feet of fencing. No fencing is to be placed along the river’s edge. The area of the plot is 180 square feet. What are its dimensions? y X
A television manufacturer makes rear-projection and plasma televisions. The profit per unit is $125 for the rear-projection televisions and $200 for the plasma televisions.a. Let x = the number of rear-projection televisions manufactured in a month and let y = the number of plasma televisions
In Exercises 13–16, write the partial fraction decomposition of each rational expression. x3 2 (x² + 4)²
In Exercises 1–26, graph each inequality. 98
Solve each system in Exercises 5–18. x + y = 4 x + z = 4 y + z = 4
In Exercises 5–18, solve each system by the substitution method. 3x - 4y = x - y + 4 у 2х + + бу = 5у - 4 -
In Exercises 9–42, write the partial fraction decomposition of each rational expression. X x² + 2x - 3 X
In Exercises 1–18, solve each system by the substitution method. √x + y = -3 x² + 2y² = 12y + 18
Solve each system in Exercises 5–18. 3(2x + y) + 5z = -1 2(x3y + 4z) = -9 4(1 + x) = -3(z - 3y)
In Exercises 1–18, solve each system by the substitution method. fx + y = 1 (x - 1)² + (y + 2)² = 10
In Exercises 16–24, write the partial fraction decomposition of each rational expression. x (x − 3)(x + 2)
a. A student earns $15 per hour for tutoring and $10 per hour as a teacher’s aide. Let x = the number of hours each week spent tutoring and let y = the number of hours each week spent as a teacher’s aide. Write the objective function that models total weekly earnings.b. The student is bound by
In Exercises 11–21, solve each equation, inequality, or system of equations.6x - 3(5x + 2) = 4(1 - x)
In Exercises 5–18, solve each system by the substitution method. y 113 ما | درا x + 5 7* 2 x - 2
In Exercises 9–42, write the partial fraction decomposition of each rational expression. 4x² + 13x9 x(x - 1)(x + 3)
In Exercises 16–24, write the partial fraction decomposition of each rational expression. 11x - 2 2 x² - x - 12
A manufacturer makes two types of jet skis, regular and deluxe. The profit on a regular jet ski is $200 and the profit on the deluxe model is $250. To meet customer demand, the company must manufacture at least 50 regular jet skis per week and at least 75 deluxe models. To maintain high quality,
Solve each system in Exercises 5–18. 7z3= 2(x - 3y) 5y + 3z 7 = 4x 4 + 5z = 3(2x - y)
In Exercises 1–26, graph each inequality. (x - 2)² + (y + 1)²
A company is planning to manufacture PDAs (personal digital assistants). The fixed cost will be $400,000 and it will cost $20 to produce each PDA. Each PDA will be sold for $100.a. Write the cost function, C, of producing x PDAs.b. Write the revenue function, R, from the sale of x PDAs.c. Write the
Use the two steps for solving a linear programming problem, given in the box on page 606, to solve the problems in Exercises 17–23.A manufacturer produces two models of mountain bicycles. The times (in hours) required for assembling and painting each model are given in the following table:The
In Exercises 9–42, write the partial fraction decomposition of each rational expression. 4x²5x - 15 – x(x + 1)(x - 5)
In Exercises 1–26, graph each inequality. (x + 2)² + (y - 1)² < 16
In Exercises 11–21, solve each equation, inequality, or system of equations.log(x + 3) + log x = 1
In Exercises 1–18, solve each system by the substitution method. [2x + y = 4 (x + 1)² + (y-2)² 2)² = 4
Find the measure of each angle whose degree measure is represented with a variable. y X 3y + 20
In Exercises 5–18, solve each system by the substitution method. 1 2 -x + 2 + 2 3 У y = -x + 7 4
In Exercises 16–24, write the partial fraction decomposition of each rational expression. 4x²-3x - 4 x(x + 2)(x-1)
Use the two steps for solving a linear programming problem, given in the box on page 606, to solve the problems in Exercises 17–23.A large institution is preparing lunch menus containing foods A and B. The specifications for the two foods are given in the following table:Each lunch must provide
The manager of a gardening center needs to mix a plant food that is 13% nitrogen with one that is 18% nitrogen to obtain 50 gallons of a plant food that is 16% nitrogen. How many gallons of each of the plant foods must be used?
In Exercises 11–21, solve each equation, inequality, or system of equations. ²2x²-15 = 0
In Exercises 11–21, solve each equation, inequality, or system of equations.3x+2 = 11
In Exercises 19–30, solve each system by the addition method. √x + y = 1 (x - y = 3
In Exercises 1–26, graph each inequality. y < x² - 1
In Exercises 11–21, solve each equation, inequality, or system of equations. 3x - y = -2 2x² - y= 0 J3x
In Exercises 9–42, write the partial fraction decomposition of each rational expression. 4x²7x - 3 4-3
In Exercises 16–24, write the partial fraction decomposition of each rational expression. 2x + 1 (x - 2)²
In Exercises 19–22, find the quadratic function y = ax2 + bx + c whose graph passes through the given points.(-1, 6), (1, 4), (2, 9)
In Exercises 19–28, solve each system by the addition method. [x² + y² = 13 1x² - y² = 5
In Exercises 9–42, write the partial fraction decomposition of each rational expression. 2x² 18x - 12 +3 1³ - 4x
In Exercises 19–30, solve each system by the addition method. √x + y = 6 x - y = -2
In Exercises 16–24, write the partial fraction decomposition of each rational expression. 2x - 6 (x - 1)(x - 2)²
In Exercises 1–26, graph each inequality. y < x² - 9
Find the quadratic function y = ax2 + bx + c whose graph passes through the points (-1, 0), (1, 4), and (2, 3).
In Exercises 11–21, solve each equation, inequality, or system of equations. 3z = −2 = -2 6 x + 2y + 3x + 3y + 10z 2y - 5z
In Exercises 19–22, find the quadratic function y = ax2 + bx + c whose graph passes through the given points.(-2, 7), (1, -2), (2, 3)
Use the two steps for solving a linear programming problem, given in the box on page 606, to solve the problems in Exercises 17–23.Food and clothing are shipped to survivors of a natural disaster. Each carton of food will feed 12 people, while each carton of clothing will help 5 people. Each
In Exercises 19–28, solve each system by the addition method. √4x² - y² = 4 4x² + y² = 4
Use the two steps for solving a linear programming problem, given in the box on page 606, to solve the problems in Exercises 17–23.On June 24, 1948, the former Soviet Union blocked all land and water routes through East Germany to Berlin. A gigantic airlift was organized using American and
In Exercises 19–22, find the quadratic function y = ax2 + bx + c whose graph passes through the given points.(-1, -4), (1, -2), (2, 5)
Find the length and width of a rectangle whose perimeter is 21 meters and whose area is 20 square meters.
In Exercises 1–26, graph each inequality. y=x²-9
In Exercises 9–42, write the partial fraction decomposition of each rational expression. 6х - 11 (x - 1)²
In Exercises 19–30, solve each system by the addition method. 2x + 3y = 6 (2x - 3y = 6
In Exercises 19–28, solve each system by the addition method. √x² - 4y² = -7 |3x² + y² 31
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