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mathematics
college algebra
College Algebra 12th edition Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels - Solutions
Solve each problem.Acid Mixture If 120 L of an acid solution is 75% acid, how much pure acid is there in the mixture?
Fill in the blank to correctly complete each sentence.To find the quotient of two complex numbers in standard form, multiply both the numerator and the denominator by the complex conjugate of the ________.
Match each equation or inequality in Column I with the graph of its solution set in Column II.|x| < 7 A. + -7 B. + + -7 C. -7 D. + -7 E. + -7 F. + -7 G. -7 Н. -7 1. 1.
A rectangular piece of metal is 5 in. longer than it is wide. Squares with sides 2 in. long are cut from the four corners, and the flaps are folded upward to form an open box. Which equation indicates that the volume of the box is 64 in.3?A. (x + 1)(x - 4)(2) = 64 B. x(x + 5)(2) = 64C. (x +
Fill in the blank to correctly complete each sentence.An equation such as x3/2 = 8 is an equation with a(n)_________, because it contains a variable raised to an exponent that is a rational number.
Match the inequality in each exercise in Column I with its equivalent interval notation in Column II.x ≥ -6A. (-2, 6]B. [-2, 6)C. (-∞, -6)D. [6, ∞)E. (-∞, -3) ⋃ (3, ∞)F. (-∞, -6)G. (0, 8)H. (-∞, ∞)I. (-6, ∞)J. (-∞, 6)
One model for the minimum hourly wage in the United States for the period 1979–2014 isy = 0.128x - 250.43,where x represents the year and y represents the wage, in dollars. (Source: Bureau of Labor Statistics.) The actual 2008 minimum wage was $6.55. What does this model predict as the wage? What
Solve each equation.(approximate annual interest rate) A = 24f B(p+1)* for f
Match the equation in Column I with its solution(s) in Column II.x2 – 5 = 0
Fill in the blank to correctly complete each sentence.A(n)__________ is an equation satisfied by every number that is a meaningful replacement for the variable.
Solve each equation.(3x + 12) = 8
Solve each problem.Value of Coins If a jar of coins contains 40 half-dollars and 200 quarters, what is the monetary value of the coins?
Fill in the blank to correctly complete each sentence.The product of a complex number and its conjugate is always a(n) __________.
Match each equation or inequality in Column I with the graph of its solution set in Column II.|x| > 7 A. + -7 B. + + -7 C. -7 D. + -7 E. + -7 F. + -7 G. -7 Н. -7 1. 1.
The mat and frame around the picture shown measure x inches across. Which equation says that the area of the picture itself is 600 in.2?A. 2(34 - 2x) + 2(21 - 2x) = 600B. (34 - 2x)(21 - 2x) = 600C. (34 - x)(21 - x) = 600D. x(34)(21) = 600 34 in. 21 in. x in. x in.
Fill in the blank to correctly complete each sentence.When the power property is used to solve an equation, it is essential to check all proposed solutions in the_________.
Match the inequality in each exercise in Column I with its equivalent interval notation in Column II.x2 ≥ 0A. (-2, 6]B. [-2, 6)C. (-∞, -6)D. [6, ∞)E. (-∞, -3) ⋃ (3, ∞)F. (-∞, -6)G. (0, 8)H. (-∞, ∞)I. (-6, ∞)J. (-∞, 6)
Johnny deposits some money at 2.5% annual interest and twice as much at 3.0%. Find the amount deposited at each rate if his total annual interest income is $850.
Solve each equation.9x - 11(k + p) = x(a - 1)
Solve each equation.5x - 2(x + 4) = 3(2x + 1)
Match the equation in Column I with its solution(s) in Column II.x2 + 5 = 0
Fill in the blank to correctly complete each sentence.A__________ linear equation is a(n) because the greatest degree of the variable is 1.
Solve each equation.6x2 - 11x - 7 = 0
Match each equation or inequality in Column I with the graph of its solution set in Column II.|x| > -7 A. + -7 B. + + -7 C. -7 D. + -7 E. + -7 F. + -7 G. -7 Н. -7 1. 1.
To solve for the lengths of the right triangle sides, which equation is correct?A. x2 = (2x - 2)2 + (x + 4)2B. x2 + (x + 4)2 = (2x - 2)2C. x2 = (2x - 2)2 - (x + 4)2D. x2 + (2x - 2)2 = (x + 4)2 х +4 х 2х - 2
Fill in the blank to correctly complete each sentence.If a job can be completed in 4 hr, then the rate of work is_______of the job per hour.
Solve the equation ay + 2x = y + 5x for y. (Assume a ≠ 1.)
Solve each equation.1/6 x - 1/2(x - 1) = 1/2
Match the equation in Column I with its solution(s) in Column II.x2 = –25
Fill in the blank to correctly complete each sentence.To__________ an equation means to find all numbers that make the equation a true statement.
Solve each equation. +5(x – 4) = x - 4
Solve each problem.Investing If a person invests $500 at 2% simple interest for 4 yr, how much interest is earned?
Solve each problem.Distance Traveled If a train travels at 80 mph for 15 min, what is the distance traveled?
Fill in the blank to correctly complete each sentence.Proposed solutions for which any denominator equals____________are excluded from the solution set of a rational equation.
Determine whether each equation is an identity, a conditional equation, or a contradiction. Give the solution set.(a) 4x - 5 = -2(3 - 2x) + 3(b) 5x - 9 = 5(-2 + x) + 1(c) 5x - 4 = 3(6 - x)
Solve the linear equation 3(x - 5) + 2 = 1 - (4 + 2x).
Solve each equation.2x + 8 = 3x + 2
Match the equation in Column I with its solution(s) in Column II.x2 = 25
Solve each equation.3(x - 4) - 5(x + 2) = 2 - (x + 24)
Fill in the blank to correctly complete each sentence.A(n)____________ is a statement that two expressions are equal.
Solve each problem.Time Traveled How long will it take a car to travel 400 mi at an average rate of 50 mph?
Fill in the blank to correctly complete each sentence.The numbers 6 + 5i and 6 - 5i, which differ only in the sign of their imaginary parts, are _________.
Match each equation or inequality in Column I with the graph of its solution set in Column II.|x| = -7 A. + -7 B. + + -7 C. -7 D. + -7 E. + -7 F. + -7 G. -7 Н. -7 1. 1.
Fill in the blank to correctly complete each sentence.If a and b are real numbers, then any number of the form a + bi is a(n) ____________.
If a rectangle is r feet long and s feet wide, which expression represents the length of its diagonal in terms of r and s?A. √rs B. r + s C. √r2 + s2 D. r2 + s2 Diagonal
Match the inequality in each exercise in Column I with its equivalent interval notation in Column II.x ≤ 6A. (-2, 6]B. [-2, 6)C. (-∞, -6)D. [6, ∞)E. (-∞, -3) ⋃ (3, ∞)F. (-∞, -6)G. (0, 8)H. (-∞, ∞)I. (-6, ∞)J. (-∞, 6)
Fill in the blank to correctly complete each sentence.By definition, i = ______, and therefore, i2 = ___________.
Match each equation or inequality in Column I with the graph of its solution set in Column II.|x| = 7 A. + -7 B. + + -7 C. -7 D. + -7 E. + -7 F. + -7 G. -7 Н. -7 1. 1.
Fill in the blank to correctly complete each sentence.A(n)________ is an equation that has a rational expression for one or more terms.
For the rectangular parking area of the shopping center shown, with x in yards, which one of the following equations says that the area is 40,000 yd2?A. x(2x + 200) = 40,000 B. 2x + 2(2x + 200) = 40,000C. x + (2x + 200) = 40,000 D. x2 + (2x + 200)2 = 40,0002 х 2x + 200
Match the inequality in each exercise in Column I with its equivalent interval notation in Column II.x < -6A. (-2, 6]B. [-2, 6)C. (-∞, -6)D. [6, ∞)E. (-∞, -3) ⋃ (3, ∞)F. (-∞, -6)G. (0, 8)H. (-∞, ∞)I. (-6, ∞)J. (-∞, 6)
Solve the equation.a2 + b2 = c2, for a
Solve the equation.3/x - 3 = 3/x - 3
Solve the equation.-x-2 + 2x-1 = 1
Solve the equation.(14 - 2x)2/3 = 4
Solve the equation.√x + 1 = √11 - √x
Solve the equation.3[2x - (6 - 2x) + 1] = 5x
Solve the equation.3x2 - 2x = -1
This section of miscellaneous equations provides practice in solving all the types introduced in this chapter so far. Solve each equation.3√2x + 1 = 3√9
Solve the equation.1.2x + 0.3 = 0.7x - 0.9
Solve the equation.x4 - 3x2 - 4 = 0
Solve the equation.√x + 2 + 1 = √2x + 6
Solve the equation.x -2/5 - 2x -1/5 - 15 = 0
Solve the equation.(2x + 1)2 = 9
Solve the equation.5 - 2/x + 1/x2 = 0
Solve the equation.x/2 + 4/3 x = x + 5
Solve the equation.3x + 4/3 - 2x/x - 3 = x
Solve the equation.5/x + 3 - 6/x - 2 = 3/x2 + x - 6
Solve the equation.√x + 2 + 5 = √x + 15
Solve the equation.x2 = 8x - 12
Solve the equation.x(x + 6) = 9
Solve the equation.5 - (6x + 3) = 2(2 - 2x)
Solve the equation.4x - 3 = 2x + 3
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