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Questions and Answers of College Algebra

Find the real solutions, if any, of each equation. Use the quadratic formula. 3 4 1 4 X 1 2 = 0
Find the real solutions of each equation.x - 4x√x = 0
Find the real solutions of each equation. x + √x = 20 X
Find the real solutions, if any, of each equation. Use the quadratic formula. 2 3 x²-x-3 = 0
Find the real solutions of each equation. 9 = x^ + x
Find the real solutions of each equation. t¹/22t¹/4 + 1 = 0
Find the real solutions of each equation. z¹/2 - 4z¹/4 + 4 = 0
Find the real solutions of each equation. 4x¹/2 - 9x¹/4 + 4 = 0
Find the real solutions of each equation. x1/2 - 3x¹/4 + 2 = 0
Find the real solutions of each equation. 2 5r − 6 = x 6=x
Find the real solutions, if any, of each equation. Use the quadratic formula. 4 1 X 2 = 0
Find the real solutions of each equation. 4 - 5x² = X
Find the real solutions, if any, of each equation. Use the quadratic formula. 4 + X 1 2 X = 0
Find the real solutions of each equation. x² + 3x + √√x² + 3x = 6
Find the real solutions, if any, of each equation. Use the quadratic formula. 3.x x - 2 + x = 4
Find the real solutions of each equation. x² - 3x - Vx² - 3x = 2
Find the real solutions, if any, of each equation. Use the quadratic formula. 2x x - 3 + 1 X = 4
Find the real solutions of each equation. 1 (x + 1)² 1 x + 1 +2
Find the real solutions of each equation. 1 (x - 1)2 1 x-1 = 12
Find the real solutions of each equation. 3x-2 - 7x1 - 6 = 0 6=0
Find the real solutions of each equation. 2x2 3x¹4 = 0 -1
Find the real solutions of each equation. 2x2/3 5x¹/33=0 -
Find the real solutions of each equation. 3x4/3 + 5x2/32 = 0
Find the real solutions of each equation. (0+1 2 + 2v υ+ 1 = 8
Use the discriminant to determine whether each quadratic equation has two unequal real solutions, a repeated real solution, or no real solution, without solving the equation.2x2 - 6x + 7 = 0
Find the real solutions of each equation. 2 (1) ( y – 1) y - 1, + 7
Use the discriminant to determine whether each quadratic equation has two unequal real solutions, a repeated real solution, or no real solution, without solving the equation.x2 + 4x + 7 = 0
Find the real solutions of each equation by factoring.x3 - 9x = 0
Find the real solutions of each equation by factoring.x4 - x2 = 0
Find the real solutions of each equation by factoring.4x3 = 3x2
Find the real solutions of each equation by factoring.x5 = 4x3
Find the real solutions, if any, of each equation. Use any method.x2 - 5 = 0
Find the real solutions, if any, of each equation. Use any method.x2 - 6 = 0
Find the real solutions of each equation by factoring.x3 + 6x2 - 7x = 0
Find the real solutions of each equation by factoring.x3 + x2 - x - 1 = 0
Find the real solutions of each equation by factoring.x3 + 4x2 - x - 4 = 0
Find the real solutions of each equation by factoring.x3 - 3x2 - 4x + 12 = 0
Find the real solutions, if any, of each equation. Use any method. x² + √2x = 1 2
Find the real solutions of each equation by factoring.x3 - 3x2 - x + 3 = 0
Find the real solutions of each equation by factoring.5x3 + 45x = 2x2 + 18
Find the real solutions, if any, of each equation. Use any method. 1/² x² = √₂x + V
Leigh is paid time-and-a-half for hours worked in excess of 40 hours and double-time for hours worked on Sunday. If Leigh had gross weekly wages of $456 for working 50 hours, 4 of which were on
A builder of tract homes reduced the price of a model by 15%. If the new price is $425,000, what was its original price? How much can be saved by purchasing the model?
A college book store marks up the price that it pays the publisher for a book by 35%. If the selling price of a book is $92.00, how much did the bookstore pay for this book?
A car dealer, at a year-end clearance, reduces the list price of last year’s models by 15%. If a certain four-door model has a discounted price of $8000, what was its list price? How much can be
The suggested list price of a new car is $18,000. The dealer’s cost is 85% of list. How much will you pay if the dealer is willing to accept $100 over cost for the car?
If k = x + 3/x - 3 and k2 - k = 12, find x.
One step in the following list contains an error. Identify it and explain what is wrong. x = 2 3x - 2x = 2 3x 2x + 2 = 2 x² + 3x = x² + 2x + 2 10 = x² + 2x 8 x² + 3x (x-2)(x + 5) = (x − 2)(x +
If k = x + 3/x - 4 and k2 - 3k = 28, find x.
The Social Security Administration determined that an average 30-year-old male in 2005 could expect to live at least 46.60 more years and an average 30 year-old female in 2005 could expect to live at
The screen size of a television is determined by the length of the diagonal of the rectangular screen. Traditional TVs come in a 4 : 3 format, meaning the ratio of the length to the width of the
The percentage method of withholding for federal income tax (2010) states that a single person whose weekly wages, after subtracting withholding allowances, are over $693, but not over $1302, shall
The sum of the consecutive integers 1, 2, 3, ...., n is given by the formula 1/2n(n + 1). How many consecutive integers, starting with 1, must be added to get a sum of 666?
Commonwealth Edison Company’s charge for electricity in January 2010 was 9.44¢ per kilowatt-hour. In addition, each monthly bill contains a customer charge of $12.55. If last year’s bills ranged
The Village of Oak Lawn charges homeowners $37.62 per quarter-year plus $3.86 per 1000 gallons for water usage in excess of 10,000 gallons. In 2010 one homeowner’s quarterly bill ranged from a high
In Problems 33–38, plot each point and form the triangle ABC. Show that the triangle is a right triangle. Find its area.A = (−6, 3); B = (3, −5); C = (−1, 5)
In Problems 39–46, find the midpoint of the line segment joining the points P1 and P2.P1 = (−2, 0); P2 = (2, 4)
To see how the formula that relates Celsius and Fahrenheit temperatures is derived,Use the equation found in Exercise 101 to find F if C = 15. How does the answer compare with the answer to Exercise
A(n) _______fraction is a quotient that has a fraction in the _________, denominator, or_________ .
Simplifying a complex fraction by Method 1 is a good way to review the methods of adding, subtracting, multiplying, and dividing rational expressions. Method 2 gives a good review of the fundamental
Previously, we solved an equation such as 5x = 125 as follows.Solution set: {3}The method described in this section can also be used to solve this equation. Apply the power rule for logarithms on
Explain how the graph of the function in Exercise 5 can be obtained from the graph of the function in Exercise 4.Data from in Exercise 4 Graph each function. Data from in Exercise 5 Graph each
Previously, we solved an equation such as 5x = 125 as follows.Solution set: {3}The method described in this section can also be used to solve this equation.Take common logarithms on both sides, and
Find each square root. If it is not a real number, say so. 100 121
Residents of Linn County, Iowa, in the Cedar Rapids Community School District can use the expression to determine their property taxes, where v is assessed home value.Use this expression to
The binomial x6 - y6 may be considered as either a difference of squares or a difference of cubes.Notice that the factor written in the blank in Exercise 78 is a fourth-degree polynomial, while the
The binomial x6 - y6 may be considered as either a difference of squares or a difference of cubes.If we have a choice of factoring as a difference of squares or a difference of cubes, how should we
Perform the indicated operations. 6 (2) 8 -
Simplify each expression. 6(a 5) 4(a + 6) -
Perform the indicated operations. 7- (-4) - 11
Multiply or divide as indicated. Write answers in lowest terms as needed. al 2 5 ÷ 30
Find each absolute value and simplify if needed. 18-|
Multiply or divide as indicated. Write answers in lowest terms as needed. 3 4 + 12
Simplify each expression. 3(m 4) 2(m + 1)
Find each square root. If it is not a real number, say so. V 169
Perform the indicated operations. 8 (-12) 2-6
Find each absolute value and simplify if needed. |-19|
Find each square root. If it is not a real number, say so. V225
Multiply or divide as indicated. Write answers in lowest terms as needed. 3 6 ÷ 5
Use the binomial theorem to expand (2a - 1)5.
Simplify each expression. 0.25(8 + 4p) 0.5(6+2p)
Find each absolute value and simplify if needed. 3 2
Find each square root. If it is not a real number, say so. -V400
Multiply or divide as indicated. Write answers in lowest terms as needed. 8÷ 9
Simplify each expression.7r - 9r
Give (a) The additive inverse (b) The absolute value of each number.0.16
Simplify each expression. 0.4(105x) 0.8(5 + 10x) -
Find each square root. If it is not a real number, say so. -√900
Find each absolute value and simplify if needed. -|5|
Find each absolute value and simplify if needed. 4
Multiply or divide as indicated. Write answers in lowest terms as needed. 3 6-÷ 4 3 8
Simplify each expression. -(2p + 5) + 3(2p + 4) - 2p
Perform the indicated operations. -9-4-(-3) + 6
Simplify each expression. -(7m - 12) + 2(4m + 7) - 6m
Multiply or divide as indicated. Write answers in lowest terms as needed. 3 5-+ 5 7 10
Perform the indicated operations. -10-6-(-12) +9
Perform the indicated operations. -0.38 +4- 0.62
Find each square root. If it is not a real number, say so. 225 169
Find each absolute value and simplify if needed. −|12|
Multiply or divide as indicated. Write answers in lowest terms as needed. 22 + 12 7

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