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Questions and Answers of College Algebra

In Problems 97–106, find a and b. If -3 < x < 0, then a < 1 x + 4
In Problems 97–110, find the real solutions, if any, of each equation. 2 (₁ + ₁)² v +1 2v v + 1 = 8
In Problems 97–106, find a and b. If 6 < 3x < 12, then a < x² < b.
In Problems 97–106, find a and b. If 2 < x < 4, then a < 1 x-6
In Problems 97–110, find the real solutions, if any, of each equation. y у-1 2 бу y у-1 +7
In Problems 97–110, find the real solutions, if any, of each equation. √2x + 5 - x = 1
In Problems 97–110, find the real solutions, if any, of each equation.6(k + 3) - 2k = 12
What is the domain of the variable in the expression. V8 + 2x?
In Problems 97–106, find a and b. If 0 < 2x < 6, then a < x² < b.
In Problems 97–110, find the real solutions, if any, of each equation. √3x + 1-2x = -6
The Social Security Administration determined that an average 30-year-old male in 2018 could expect to live at least 52.2 more years and that an average 30-year-old female in 2018 could expect to
What is the domain of the variable in the expression. V3x + 6?
In Problems 97–110, find the real solutions, if any, of each equation. √5x² - 6 = x
In Problems 97–110, find the real solutions, if any, of each equation. 3m² + 6m = -1
Use an Internet search engine to investigate the origins of complex numbers. Write a paragraph describing what you find, and present it to the class.
In Problems 97–110, find the real solutions, if any, of each equation. - 3x² = x V4
Explain how the method of multiplying two complex numbers is related to multiplying two binomials.
In Problems 97–110, find the real solutions, if any, of each equation.4y2 - 8y = 3
A young adult may be defined as someone older than 21 but less than 30 years of age. Express this statement using inequalities.
Middle-aged may be defined as being 40 or more and less than 60. Express this statement using inequalities.
A real estate agent agrees to sell an apartment complex according to the following commission schedule: $45,000 plus 25% of the selling price in excess of $900,000. Assuming that the complex will
The percentage method of withholding for federal income tax (2018) states that a single person whose weekly wages, after subtracting withholding allowances, are over $815, but not over $1658, shall
A used car salesperson is paid a commission of $25 plus 40% of the selling price in excess of owner’s cost. The owner claims that used cars typically sell for at least owner’s cost plus $200 and
Sue wants to lose weight. For healthy weight loss, the American College of Sports Medicine (ACSM) recommends 200 to 300 minutes of exercise per week. For the first six days of the week, Sue exercised
During summer months in 2018, Omaha Public Power District charged residential customers a monthly service charge of $25, plus a usage charge of 10.06¢ per kilowatt-hour (kWh). If one customer’s
The village of Oak Lawn charges homeowners $23.55 per quarter-year for sewer usage, plus $0.40 per 1000 gallons of water metered. In 2018, one homeowner’s quarterly bill ranged from a high of
Suppose that you order a small McCafe™ chocolate shake (15 g of fat) and an Artisan Grilled Chicken Sandwich™ (7 g of fat) at McDonald’s. How many oatmeal raisin cookies can you eat (5 g of
Do you prefer to use inequality notation or interval notation to express the solution to an inequality? Give your reasons. Are there particular circumstances when you prefer one to the other? Cite
Suppose that you order a Garden Side Salad (95 mg of sodium) and a Strawberry Banana Smoothie (50 mg of sodium) at Burger King. How many hamburgers can you eat (380 mg of sodium) and still keep the
Solve each equation. 3(2x2) 4(x + 6) = 3x + 8 + x
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities.4x + 1 = 49
Write 7/20 as(a) A decimal (b) A percent.
Solve each equation. -(8 + 3x) + 5 = 2x + 6
Determine whether each statement is true or false. If it is false, explain why.The union of the solution sets of x + 1 = 6₂ x + 1 < 6, and x + 1 > 6 is (-∞, ∞).
Match each absolute value equation or inequality in Column I with the graph of its solution set in Column II. I |x| = 5 |x| 5 |x ≤ 5 |x| = 5 A. B. C. D. E. -5 -5 -5 -5 -5 0 0 0 + 0 0 II 5 5 5 5 5
Solve each problem. 5 (64x) > 2x - 5
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities. 9 = |1 − x|
Solve each equation. 0.08x +0.06(x + 9) = 1.24
Solve each equation. Then determine whether the equation is a conditional equation, an identity, or a contradiction. (a) 3x (2x) + 4x + 2 = 8x + 3 (c) 4(2x 6) = 5x + 24-7x (b) +7= 3 (d) x +
Solve each equation. 3 4 x=-12
Determine whether each statement is true or false. If it is false, explain why.The intersection of the sets {x|x ≥ 9} and {x|x ≤9} is Ø.
Match each absolute value equation or inequality in Column I with the graph of its solution set in Column II. I |x| = 9 |x|>9 |x ≥9 |x|
Solve each equation. 2x + 1 3 x-1 4 = 0
Determine whether each statement is true or false. If it is false, explain why.The union of the sets (-∞, 7) and (7, ∞) is {7}.
Solve each problem. x + 47 and x + 5 ≥ 3
Solve each problem. −5x = −10
Write 0.66 as (a) A percent (b) A fraction in lowest terms.
Determine whether each statement is true or false. If it is false, explain why.The intersection of the sets (-∞, 7] and [7, ∞) is {7}.
Solve each problem. 4x2 4 + 3x1 8 x + 6 16
Solve each equation. 5(2x 3) = 6(x - 1) + 4x
Solve each problem.ak + bt = 6r for k
Perform the indicated operations. -4(9) (-2) -3²
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities.6x - 9 = 12 + 3x
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities. |x + 3 = -4
Solve each equation. |x| = 12
How many solutions will |ax + b| = k have for each situation?(a) k = 0 (b) k > 0 (c) k < 0
Solve each equation. Decide whether the equation is a conditional equation, an identity, or a contradiction. 10x - 3(2x - 4) = 4(x + 3)
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities.3x + 7 = 9 + 8x
Perform the indicated operations. V25 - 5(-1)³
Solve V = 1/3 bh for h.
Perform the indicated operations.0.17 + 3.965 - 12
Solve each problem. |3x + 6 ≥ 0
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities. 2x + 1 ≤ x
If k < 0, what is the solution set of each of the following?(a) |x - 1| < k (b) |x - 1| > k (c) |x - 1| = k
Solve each equation. Decide whether the equation is a conditional equation, an identity, or a contradiction. 13x (x + 7) = 12x - 13
Solve each equation. |x| = 14
Solve -3x + 2y = 6 for y.
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities. 8r+ 2 >5r
Let A = {1, 2, 3, 4, 5, 6}, B = {1, 3, 5}, C = {1, 6}, and D = {4}. Find each set.A ∩ D
Solve each equation. Decide whether the equation is a conditional equation, an identity, or a contradiction. x + 6(x - 1)-(4-x) = -10
The 2017 Brickyard 400 (mile) race was won by Kasey Kahne, who averaged 114.384 mph. What was his time to the nearest thousandth of an hour?
Solve each equation. |4x| = 20
Let A = {1, 2, 3, 4, 5, 6}, B = {1, 3, 5}, C = {1, 6}, and D = {4}. Find each set.B ∩ C
Solve each problem. |3x + 2 + 4 = 9
A certificate of deposit pays $456.25 in simple interest for 1 yr on a principal of $36,500. What is the rate of interest?
Evaluate each exponential expression.(-5)3
Let A = {1, 2, 3, 4, 5, 6}, B = {1, 3, 5}, C = {1, 6}, and D = {4}. Find each set.B ∩ A
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities. 4(x 11) + 3x = 20x - 31 -
The final 2017 standings of the American League East division in Major League Baseball are shown in the table. Find the winning percentage of each team.(a) NY Yankees (b) Tampa Bay(c) Toronto (d)
Evaluate each exponential expression. 2, 4
Solve each equation. Decide whether the equation is a conditional equation, an identity, or a contradiction. 5+3(2x + 6) = 5+ 3(2x + 6)
Solve each equation. |5x| = 30
Let A = {1, 2, 3, 4, 5, 6}, B = {1, 3, 5}, C = {1, 6}, and D = {4}. Find each set.C ∩ A
Solve each equation. |x - 3|= 9
Let A = {1, 2, 3, 4, 5, 6}, B = {1, 3, 5}, C = {1, 6}, and D = {4}. Find each set.B ∩ Φ
Solve each problem. x+3 ≤ 13 <
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities. |3x - 7| -4 = 0
After working 1 yr at his new job, Kevin got a raise from $11.25 per hour to $12.75 per hour. What was the percent increase in his hourly wage to the nearest tenth?
Evaluate each expression for x = 2, y = -3, and z = 4. 3x² - y² 4z
Solve for the specified variable. 1 == =-=h(b₁ h(b + B) for b 2
Let A = {1, 2, 3, 4, 5, 6}, B = {1, 3, 5}, C = {1, 6}, and D = {4}. Find each set.A ∩ Φ
Solve each equation. |x5| = 13
Solve each problem. 3 (x - 2) - (5 - 2x) < -2 3
Solve each problem. 0.05x + 0.03(1200 - x) = 42
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities.2x - 1 = -7
Tyler invested some money at 1.5% simple interest and some at 2.5% simple interest. The total amount of his investments was $28,000, and the interest he earned during the first year was $620. How
Evaluate each expression for x = 2, y = -3, and z = 4. -2y + 4(x - 3z)
Solve for the specified variable.V = LWH for L
Solve each inequality. Give the solution set in interval form. 5- (64x) ≥ 2x - 7
Solve each compound inequality. Graph the solution set, and write it using interval notation. x + 4 > 12 and x2 < 12

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