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mathematics
college algebra
College Algebra 11th Edition Michael Sullivan, Michael Sullivan III - Solutions
In Problems 8–10, solve each inequality. Express your answer using interval notation. Graph the solution set . 2 + |2x - 5| = 9
In Problems 1–27, find the real solutions, if any, of each equation. (Where they appear, a, b, m, and n are positive constants.) x(x + 1) + 2 = 0
In Problems 8–10, solve each inequality. Express your answer using interval notation. Graph the solution set. 3x + 48
In Problems 1–27, find the real solutions, if any, of each equation. (Where they appear, a, b, m, and n are positive constants.) 2x + 3 = 4x²
In Problems 1–27, find the real solutions, if any, of each equation. (Where they appear, a, b, m, and n are positive constants.) √√x²-1=2
In Problems 1–27, find the real solutions, if any, of each equation. (Where they appear, a, b, m, and n are positive constants.) √4x²+x=6= √x-1
In Problems 1–27, find the real solutions, if any, of each equation. (Where they appear, a, b, m, and n are positive constants.) V2x 1 √x - 5 = 3
In Problems 1–27, find the real solutions, if any, of each equation. (Where they appear, a, b, m, and n are positive constants.) 2x + 3 = 2
In Problems 1–27, find the real solutions, if any, of each equation. (Where they appear, a, b, m, and n are positive constants.) x45x² + 4 = 0 5r
In Problems 1–27, find the real solutions, if any, of each equation. (Where they appear, a, b, m, and n are positive constants.) V2x3 + x = 3
In Problems 1–27, find the real solutions, if any, of each equation. (Where they appear, a, b, m, and n are positive constants.) 2x¹/2 - 3 = 0
In Problems 1–27, find the real solutions, if any, of each equation. (Where they appear, a, b, m, and n are positive constants.) x67x38 = 0
In Problems 1–27, find the real solutions, if any, of each equation. (Where they appear, a, b, m, and n are positive constants.) x² + m² = 2mx + (nx)² n = 1
In Problems 1–27, find the real solutions, if any, of each equation. (Where they appear, a, b, m, and n are positive constants.) √x² + 3x + 7 - Vx²-3x + 9 +2=0
Solve the equation 4x2 - 4x + 5 = 0 in the complex number system.
In Problems 1–27, find the real solutions, if any, of each equation. (Where they appear, a, b, m, and n are positive constants.) 10a²x² - 2abx 2abx - 36b² = 0
A coffee house has 20 pounds of a coffee that sells for $4 per pound. How many pounds of a coffee that sells for $8 per pound should be mixed with the 20 pounds of $4-per-pound coffee to obtain a blend that will sell for $5 per pound? How much of the $5-per-pound coffee is there to sell?
In Problems 1–27, find the real solutions, if any, of each equation. (Where they appear, a, b, m, and n are positive constants.) |2x + 3 = 7
In Problems 1–27, find the real solutions, if any, of each equation. (Where they appear, a, b, m, and n are positive constants.) 2 3x + 2 = 9
In Problems 1–27, find the real solutions, if any, of each equation. (Where they appear, a, b, m, and n are positive constants.) 2x³ = 3x²
In Problems 28–34, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. -9 ≤ 2x + 3 -4 ≤7
In Problems 1–27, find the real solutions, if any, of each equation. (Where they appear, a, b, m, and n are positive constants.) 2x³ + 5x²8x - 20 = 0
In Problems 28–34, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. 2x - 3 5 +2≤ X 2
In Problems 28–34, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. 2 < 3 - 3x 12 < 6
In Problems 28–34, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. |3x + 4 < 1 2
In Problems 35–39, use the complex number system and write each expression in the standard form a + bi. (6 + 3i) (2 - 4i)
In Problems 28–34, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. |2x - 5| ≥ 9
In Problems 28–34, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. 2 + 2-3x ≤ 4
In Problems 35–39, use the complex number system and write each expression in the standard form a + bi. 3 3+ i
In Problems 28–34, solve each inequality. Express your answer using set notation or interval notation. Graph the solution set. 1 - |2 - 3x| < -4
In Problems 35–39, use the complex number system and write each expression in the standard form a + bi. 4(3 i) + 3(-5 + 2i)
In Problems 40–43, solve each equation in the complex number system. 2x² + x 2 = 0
In Problems 40–43, solve each equation in the complex number system. x(1x) = 6
In Problems 40–43, solve each equation in the complex number system. x = E + ₂x x²
In Problems 35–39, use the complex number system and write each expression in the standard form a + bi. (2 + 3i)³
In Problems 40–43, solve each equation in the complex number system. 0 = I + x + 2
A life raft, set adrift from a sinking ship 150 miles offshore, travels directly toward a Coast Guard station at the rate of 5 miles per hour. At the time that the raft is set adrift, a rescue helicopter is dispatched from the Coast Guard station. If the helicopter’s average speed is 90 miles
In Problems 35–39, use the complex number system and write each expression in the standard form a + bi.i50
Steve, a recent retiree, requires $5000 per year in extra income. He has $70,000 to invest and can invest in A-rated bonds paying 8% per year or in a certificate of deposit (CD) paying 5% per year. How much money should be invested in each to realize exactly $5000 in interest per year?
A flash of lightning is seen, and the resulting thunderclap is heard 3 seconds later. If the speed of sound averages 1100 feet per second, how far away is the storm?
Translate the following statement into a mathematical expression: The total cost C of manufacturing x bicycles in one day is $50,000 plus $95 times the number of bicycles manufactured.
A search plane has a cruising speed of 250 miles per hour and carries enough fuel for at most 5 hours of flying. If there is a wind that averages 30 miles per hour and the direction of the search is with the wind one way and against it the other, how far can the search plane travel before it has to
Clarissa and Shawna, working together, can paint the exterior of a house in 6 days. Clarissa by herself can complete this job in 5 days less than Shawna. How long will it take Clarissa to complete the job by herself?
Two pumps of different sizes, working together, can empty a fuel tank in 5 hours. The larger pump can empty this tank in 4 hours less than the smaller one. If the larger pump is out of order, how long will it take the smaller one to do the job alone?
How much water should be added to 64 ounces of a 10% salt solution to make a 2% salt solution?
The diagonal of a rectangle measures 10 inches. If the length is 2 inches more than the width, find the dimensions of the rectangle.
A laboratory has 60 cubic centimeters (cm3) of a solution that is 40% HCl acid. How many cubic centimeters of a 15% solution of HCl acid should be mixed with the 60 cm3 of 40% acid to obtain a solution of 25% HCl? How much of the 25% solution is there?
A new copying machine can do a certain job in 1 hour less than an older copier. Together they can do this job in 72 minutes. How long would it take the older copier by itself to do the job?
Lenah accumulated $24,000 in simple interest school loans by the time she graduated. She deferred payments for three years while she looked for a permanent full-time job. If she owed $27,060 at the end of the three years when she began repayment, what was her interest rate?
In Problems 41–58, fill in the blank to form a correct inequality statement. If x > 6, then - 2x - 12.
A Pew Research Center poll conducted in December 2016 found that 64% of adult Americans believe that fake news is causing confusion about basic facts of current issues and events. Suppose that the researchers are 99% confident that the result from the poll is off by fewer than 3.9 percentage points
The solution set of the equation |x| = 5 is {
The process of using variables to represent unknown quantities and then finding relationships that involve these variables is referred to as ______ ________ .
The money paid for the use of money is ______.
Objects that move at a constant speed are said to be in ____ ____.
A(n) ________ ________, denoted [a, b], consists of all real numbers x for which a ≤ x ≤ b.
True or False The amount charged for the use of principal for a given period of time is called the rate of interest.
True or False If an object moves at an average speed r, the distance d covered in time t is given by the formula d = rt.
Suppose that you want to mix two coffees in order to obtain 100 pounds of a blend. If x represents the number of pounds of coffee A, which algebraic expression represents the number of pounds of coffee B? (a) 100 - x (b) x - 100 (c) 100 x (d) 100 + x
Which of the following is the simple interest formula? (a) I P (b) I= Prt (c) I= P rt (d) I = P + rt
Which of the following has no solution? (a) x < -5 (c) x > 0 (b) |x| ≤ 0 0 = |x| (P)
If it takes 5 hours to complete a job, what fraction of the job is done in 1 hour? (a) 4 5 (b) 554 (c) 1 5 (d) 4
In Problems 9–36, find the real solutions, if any, of each equation. |3x| = 15
In Problems 9–36, find the real solutions, if any, of each equation. |3x| = 12
In Problems 9–36, find the real solutions, if any, of each equation. |2x + 3 = 5
In Problems 9–36, find the real solutions, if any, of each equation. 14t| + 8 = 13
In Problems 9–36, find the real solutions, if any, of each equation. |3x - 1 = 2
In Problems 9–36, find the real solutions, if any, of each equation. 12z| + 6 = 9
In Problems 9–18, translate each sentence into a mathematical equation. Be sure to identify the meaning of all symbols. The area of a circle is the product of the number π and the square of the radius.
In Problems 9–18, translate each sentence into a mathematical equation. Be sure to identify the meaning of all symbols. The circumference of a circle is the product of the number π and twice the radius.
In Problems 9–36, find the real solutions, if any, of each equation. ∞ || 2.xl
In Problems 9–18, translate each sentence into a mathematical equation. Be sure to identify the meaning of all symbols.The area of a square is the square of the length of a side.
In Problems 9–36, find the real solutions, if any, of each equation. |-x| = |1|
In Problems 9–18, translate each sentence into a mathematical equation. Be sure to identify the meaning of all symbols.The perimeter of a square is four times the length of a side.
In Problems 9–36, find the real solutions, if any, of each equation. |-2|x = 4
In Problems 9–18, translate each sentence into a mathematical equation. Be sure to identify the meaning of all symbols.Force equals the product of mass and acceleration.
In Problems 9–36, find the real solutions, if any, of each equation. |3|x = 9
In Problems 9–18, translate each sentence into a mathematical equation. Be sure to identify the meaning of all symbols.Pressure is force per unit area.
In Problems 9–18, translate each sentence into a mathematical equation. Be sure to identify the meaning of all symbols.Work equals force times distance.
In Problems 9–36, find the real solutions, if any, of each equation. 2017 8 |x| = 3
In Problems 9–18, translate each sentence into a mathematical equation. Be sure to identify the meaning of all symbols.Kinetic energy is one-half the product of the mass and the square of the velocity.
In Problems 9–36, find the real solutions, if any, of each equation. 3 4 - ||= 9
In Problems 9–18, translate each sentence into a mathematical equation. Be sure to identify the meaning of all symbols. The total variable cost of manufacturing x dishwashers is $150 per dishwasher times the number of dishwashers manufactured.
In Problems 9–36, find the real solutions, if any, of each equation. |u2| = 1 2
In Problems 9–36, find the real solutions, if any, of each equation. 2 || +
In Problems 9–18, translate each sentence into a mathematical equation. Be sure to identify the meaning of all symbols.The total revenue derived from selling x dishwashers is $250 per dishwasher times the number of dishwashers sold.
In Problems 9–36, find the real solutions, if any, of each equation. 1 -I 3 = 1
Betsy, a recent retiree, requires $6000 per year in extra income. She has $50,000 to invest and can invest in B-rated bonds paying 15% per year or in a certificate of deposit (CD) paying 7% per year. How much money should Betsy invest in each to realize exactly $6000 in interest per year?
In Problems 9–36, find the real solutions, if any, of each equation. 5- |4x| = 4
After 2 years, Betsy (see Problem 19) finds that she will now require $7000 per year. Assuming that the remaining information is the same, how should the money be reinvested?Data in Problem 19 Betsy, a recent retiree, requires $6000 per year in extra income. She has $50,000 to invest and can
In Problems 9–36, find the real solutions, if any, of each equation. |2v| = -1
In Problems 9–36, find the real solutions, if any, of each equation. 5- X 2 3
A bank loaned out $12,000, part of it at the rate of 8% per year and the rest at the rate of 18% per year. If the interest received totaled $1000, how much was loaned at 8%?
In Problems 9–36, find the real solutions, if any, of each equation. |x2 - 16| = 0
Wendy, a loan officer at a bank, has $1,000,000 to lend and is required to obtain an average return of 18% per year. If she can lend at the rate of 19% or at the rate of 16%, how much can she lend at the 16% rate and still meet her requirement?
In Problems 9–36, find the real solutions, if any, of each equation. |x² - 9| = 0
The manager of a store that specializes in selling tea decides to experiment with a new blend. She will mix some Earl Grey tea that sells for $6 per pound with some Orange Pekoe tea that sells for $4 per pound to get 100 pounds of the new blend. The selling price of the new blend is to be
In Problems 9–36, find the real solutions, if any, of each equation. |x² + x| = 12
In Problems 9–42, find the real solutions, if any, of each equation. V3x + 7 + Vx+ 2 = 1
A coffee manufacturer wants to market a new blend of coffee that sells for $4.10 per pound by mixing two coffees that sell for $2.75 and $5 per pound, respectively. What amounts of each coffee should be blended to obtain the desired mixture?
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