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mathematics
college algebra graphs and models
Questions and Answers of
College Algebra Graphs And Models
Solve the equation and check your answer. 2k3= k + 3
Solve the equation and check your answer. k+8= 5k - 4
Solve the inequality symbolically. Express the solution set in set-builder or interval notation. 1-x V 2x - 2 3
Find the slope-intercept form for the line satisfying the conditions. y-intercept (0, 5), slope -7.8
Solve the inequality symbolically. Express the solution set in set-builder or interval notation. 3x 4 X х+2 2
Find the slope-intercept form for the line satisfying the conditions. y-intercept (0, -155), slope 5.6
Solve the equation and check your answer. 2(1 3x) + 1 = 3x
Solve the inequality symbolically. Express the solution set in set-builder or interval notation. 5 - (2 - 3x) s -5x
Solve the inequality symbolically. Express the solution set in set-builder or interval notation. 2x - 3> {/(x + 1)
Find the slope-intercept form for the line satisfying the conditions. x-intercept (-6, 0), y-intercept (0, -8)
Find the slope-intercept form for the line satisfying the conditions. x-intercept (90, 0), y-intercept (0,45)
Solve the equation and check your answer. 5(x - 2) = -2(1-x)
Find the slope-intercept form for the line satisfying the conditions. Slope -3, passing through (0,5)
Solve the equation and check your answer. -5(32x) - (1-x) = 4(x-3)
Find the slope-intercept form for the line satisfying the conditions. Slope, passing through (-2)
Solve the equation and check your answer. =4(5x - 1) = 8 - (x + 2)
Solve the inequality symbolically. Express the solution set in set-builder or interval notation. 5 < 4-1 ≤ 11
Solve the equation and check your answer. -(5-x)(x - 2) = 7x-2
Solve the inequality symbolically. Express the solution set in set-builder or interval notation. -1 ≤ 21 ≤ 4
Find the slope-intercept form for the line satisfying the conditions. Passing through (0, -6) and (4,0)
Find the slope-intercept form for the line satisfying the conditions. Passing through (-4,0) and (0, -3)
Solve the inequality symbolically. Express the solution set in set-builder or interval notation. 3 ≤4-x≤ 20
Solve the equation and check your answer. 6(32x) = 1 − (2x − 1) -
Solve the inequality symbolically. Express the solution set in set-builder or interval notation. 0 V 7x - 5 3
Exercises 157–159 will help you prepare for the material covered in the first section of the next chapter.Use the following graph to solve this exercise.a. What is the y-coordinate when the
Use a graphing utility’s TABLE feature to verify your work in Exercises 142–143.
What’s wrong with this argument? Suppose x and y represent two real numbers, where x > y.The final inequality, y > x, is impossible because we were initially given x > y. 2 > 1 2(yx) >
In Exercises 150–153, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. (-∞, -1]n[-4, ∞) = [-4, -1]
In Exercises 142–143, solve each inequality using a graphing utility. Graph each side separately. Then determine the values of x for which the graph for the left side lies above the graph for the
In Exercises 142–143, solve each inequality using a graphing utility. Graph each side separately. Then determine the values of x for which the graph for the left side lies above the graph for the
A bank offers two checking account plans. Plan A has a base service charge of $4.00 per month plus 10¢ per check. Plan B charges a base service charge of $2.00 per month plus 15¢ per check.a. Write
In Exercises 150–153, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement.All irrational numbers satisfy |x - 4|
In Exercises 146–149, determine whether each statement makes sense or does not make sense, and explain your reasoning.In an inequality such as 5x + 4 < 8x - 5, I can avoid division by a negative
In Exercises 146–149, determine whether each statement makes sense or does not make sense, and explain your reasoning.I can check inequalities by substituting 0 for the variable: When 0 belongs to
In Exercises 146–149, determine whether each statement makes sense or does not make sense, and explain your reasoning.I prefer interval notation over set-builder notation because it takes less
Describe how to solve an absolute value inequality involving the symbol >. Give an example.
Describe how to solve an absolute value inequality involving the symbol <. Give an example.
What is a compound inequality and how is it solved?
Describe ways in which solving a linear inequality is different than solving a linear equation.
In Exercises 122–133, use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality.The toll to a bridge is $3.00. A three-month pass costs
In Exercises 122–133, use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality.On two examinations, you have grades of 86 and 88. There is
In Exercises 122–133, use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality.Parts for an automobile repair cost $175. The mechanic
Describe ways in which solving a linear inequality is similar to solving a linear equation.
The formula for converting Fahrenheit temperature, F, to Celsius temperature, C, isIf Celsius temperature ranges from 15 to 35, inclusive, what is the range for the Fahrenheit temperature? Use
In Exercises 122–133, use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality.To earn an A in a course, you must have a final average of
The graphs show that the three components of love, namely, passion, intimacy, and commitment, progress differently over time. Passion peaks early in a relationship and then declines. By contrast,
When graphing the solutions of an inequality, what does a parenthesis signify? What does a square bracket signify?
If a coin is tossed 100 times, we would expect approximately 50 of the outcomes to be heads. It can be demonstrated that a coin is unfair if h, the number of outcomes that result in heads,
The formula for converting Celsius temperature, C, to Fahrenheit temperature, F, isIf Fahrenheit temperature ranges from 41° to 50°, inclusive, what is the range for Celsius temperature? Use
In Exercises 122–133, use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality.An elevator at a construction site has a maximum capacity of
In Exercises 122–133, use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality.An elevator at a construction site has a maximum capacity of
In Exercises 122–133, use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality.A company manufactures and sells personalized stationery.
In Exercises 122–133, use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality.A company manufactures and sells blank audiocassette tapes.
The graphs show that the three components of love, namely, passion, intimacy, and commitment, progress differently over time. Passion peaks early in a relationship and then declines. By contrast,
The graphs show that the three components of love, namely, passion, intimacy, and commitment, progress differently over time. Passion peaks early in a relationship and then declines. By contrast,
The graphs show that the three components of love, namely, passion, intimacy, and commitment, progress differently over time. Passion peaks early in a relationship and then declines. By contrast,
In Exercises 122–133, use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality.A local bank charges $8 per month plus 5¢ per check. The
In Exercises 122–133, use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality.A city commission has proposed two tax bills. The first bill
In Exercises 122–133, use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality.You are choosing between two texting plans. Plan A has a
In Exercises 122–133, use the strategy for solving word problems, modeling the verbal conditions of the problem with a linear inequality.A truck can be rented from Basic Rental for $50 per day plus
In Exercises 105–106, use the table to solve each inequality. -32x - 5 ≤3
The graphs show that the three components of love, namely, passion, intimacy, and commitment, progress differently over time. Passion peaks early in a relationship and then declines. By contrast,
The graphs show that the three components of love, namely, passion, intimacy, and commitment, progress differently over time. Passion peaks early in a relationship and then declines. By contrast,
The graphs show that the three components of love, namely, passion, intimacy, and commitment, progress differently over time. Passion peaks early in a relationship and then declines. By contrast,
In Exercises 105–106, use the table to solve each inequality. −2 < 5r+ 3 < 13
The graphs show that the three components of love, namely, passion, intimacy, and commitment, progress differently over time. Passion peaks early in a relationship and then declines. By contrast,
In Exercises 103–104, use the graph of y =|4 - x| to solve each inequality. y = 5 6+ 4 3+ 2+ 1+ y = |4 -x| + + 1 2 3 4 5 6 + X + + + 7 8 9 10
In Exercises 103–104, use the graph of y =|4 - x| to solve each inequality. y = 5 6+ 4 3+ 2+ 1+ y = |4 -x| + + 1 2 3 4 5 6 + X + + + 7 8 9 10
In Exercises 95–102, use interval notation to represent all values of x satisfying the given conditions. y = 8 5x + 3) and y is at least 6.
When 4 times a number is subtracted from 5, the absolute value of the difference is at most 13. Use interval notation to express the set of all numbers that satisfy this condition.
In Exercises 95–102, use interval notation to represent all values of x satisfying the given conditions. y = 7 - X + 2 and y is at most 4. 2
In Exercises 95–102, use interval notation to represent all values of x satisfying the given conditions. y = 3x 4 + 2 and y < 8.
When 3 times a number is subtracted from 4, the absolute value of the difference is at least 5. Use interval notation to express the set of all numbers that satisfy this condition.
In Exercises 95–102, use interval notation to represent all values of x satisfying the given conditions. У1 || X 2 + 3,9/2 || 3 + 5 2' and y1 = y2.
In Exercises 95–102, use interval notation to represent all values of x satisfying the given conditions. y = 2x 11 + 3(x + 2) and y is at most 0.
In Exercises 59–94, solve each absolute value inequality. X 2 2 - 1≤1
In Exercises 95–102, use interval notation to represent all values of x satisfying the given conditions. y = |2x 5 + 1 and y > 9.
In Exercises 95–102, use interval notation to represent all values of x satisfying the given conditions. y = 1 (x + 3) + 2x and y is at least 4.
In Exercises 59–94, solve each absolute value inequality. 4 + 3 3 ≥ 9
In Exercises 95–102, use interval notation to represent all values of x satisfying the given conditions. 4, y2 = 5x + 1, and y₁ > Y2. Y1 = (6x - 9) + 4, y2 - 9) +
In Exercises 59–94, solve each absolute value inequality. 1 < |2 - 3x|
In Exercises 59–94, solve each absolute value inequality. 1
In Exercises 59–94, solve each absolute value inequality. 2 > [11 - x|
In Exercises 59–94, solve each absolute value inequality. 12 < -2x + 617 + 3 7
In Exercises 59–94, solve each absolute value inequality. 5> 4-x|
In Exercises 59–94, solve each absolute value inequality. 4 < 12-x|
In Exercises 59–94, solve each absolute value inequality. 32x-1|
In Exercises 59–94, solve each absolute value inequality. -25 x < -6
In Exercises 59–94, solve each absolute value inequality. 9 ≤ 4x + 7|
In Exercises 59–94, solve each absolute value inequality. -2x - 4 -4 ≥
In Exercises 59–94, solve each absolute value inequality. -41-x-16
In Exercises 59–94, solve each absolute value inequality. 3 x 1 + 2 ≥ 8
In Exercises 59–94, solve each absolute value inequality. -3x + 7 -27
In Exercises 59–94, solve each absolute value inequality. 3- 3 4 -x > 9
In Exercises 59–94, solve each absolute value inequality. 5|2x + 13 ≥ 9
In Exercises 59–94, solve each absolute value inequality. 3 2 3 x > 5
In Exercises 59–94, solve each absolute value inequality. |3x - 3 9 ≥ 1 AI
In Exercises 59–94, solve each absolute value inequality. |3x - 8| > 7
In Exercises 59–94, solve each absolute value inequality. 2x + 4 2 ≥ 2
In Exercises 59–94, solve each absolute value inequality. |x + 3 ≥ 4
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