Bartleby Sitemap - Textbook Solutions
All Textbook Solutions for College Algebra (MindTap Course List)
Applications Solve each problem. Buying a refrigerator Madeline, who has 1200 to spend, wants to buy a refrigerator. Refer to the following table and write an inequality that shows how much she can pay p for the refrigerator. State sales tax 6.5 City sales tax 0.25Applications Solve each problem. Renting a rototiller The cost of renting a rototiller is 17.50 for the first hour and 8.95 for each additional hour. How long, the nearest hour, can a person have the rototiller if the cost must be less than 75?93E94EApplications Solve each problem. Real estate taxes A city council has proposed the following two methods of taxing real estate: Method 1 2200+4 of assessed value Method 2 1200+6 of assessed value For what range of assessments a would the first method benefit the taxpayer?Applications Solve each problem. Medical plans A college provides its employees with a choice of the two medical plans shown in the following table. For what size hospital bills is Plan 2 better for the employee than Plan 1? Hint: The cost to the employee includes both the deductible payment and the employees coinsurance payment. Plan 1 Plan 2 Employee pays 100 Employee pays 200 Plan pays 70 of the rest Plan pays 80 of the restApplications Solve each problem. Medical plans To save costs, the college in Exercise 96 raised the employee deductible, as shown in the following table. For what size hospital bills is Plan 2 better for the employee than Plan 1 Hint: The cost to the employee includes both the deductible payment and the employees coinsurance payment. Plan 1 Plan 2 Employee pays 200 Employee pays 400 Plan pays 70 of the rest Plan pays 80 of the rest98E99E100E101E102EDiscovery and Writing The techniques used for solving linear equations and linear inequalities are similar, yet different. Explain.104E105E106E107E108E109E110ESelf Check Write each expression without using absolute value symbols: a. |0| b. |17| c. |x+5|2SC3SC4SC5SC6SC7SCFill in the blanks. If x0, then |x|=.2E3E4E5E6E7E8E9E10E11E12E13E14E15E16EWrite each expression without absolute value symbols. |x5| and x518E19E20ESolve each absolute value equation for x. |x+2|=2Solve each absolute value equation for x. |2x+5|=3Solve each absolute value equation for x. |3x1|7=224ESolve each absolute value equation for x. |3x42|=526E27E28ESolve each absolute value equation for x. |x34|=230E31E32ESolve each absolute value equation for x. |4x2x|=334E35E36ESolve each absolute value equation for x. |x+3|=|x|38E39E40ESolve each absolute value equation for x. |x+2|=|x2|42E43E44ESolve each absolute value equation for x. |3x12|=|2x+33|Solve each absolute value equation for x. |5x+23|=|x14|Solve each absolute value inequality. Express the solution set in interval notation, and graph it. |x3|648ESolve each absolute value inequality. Express the solution set in interval notation, and graph it. |x+3|650E51E52ESolve each absolute value inequality. Express the solution set in interval notation, and graph it. |3x+5|+1954E55E56E57ESolve each absolute value inequality. Express the solution set in interval notation, and graph it. |3x+24|259E60E61E62E63E64E65E66E67E68E69E70E71E72E73E74E75E76E77E78E79E80E81E82E83ETolerance of a sheet of steel A sheet of steel is to be 0.25 inch thick, with a tolerance of 0.015 inch. Express this specification with an inequality containing an absolute value.85ELight bulbs A light bulb is expected to last h hours, where |h1500|200. Express this range without using absolute value symbols.87E88E89E90E91E92E93E94E95E96E97E98E99E100EFind the restrictions on x, if any. 3x+7=4.2E3E4E5E6E7ESolve each equation and classify it as an identity, a conditional equation, or a contradiction. x+3x+4+x+3x+2=29E10E11E12E13E14E15E16E17E18ETest scores Carlos took four tests in an English class. On each successive test, his score improved by 4 points. If his mean score was 66, what did he score on the first test.Fencing a garden A homeowner has 100 ft of fencing to enclose a rectangular garden. If the garden is to be 5 ft longer than it is wide, find its dimensions.21E22E23EWashing windows Scott can wash 37 windows in 3 hours, and Bill can wash 27 windows in 2 hours. How long will it take the two of them to wash 100 windows?25EProducing brass How many ounces of pure zinc must be alloyed with 20 ounces of brass that is 30 zinc and 70 copper to produce brass that is 40 zinc?27E28E29E30E31E32E33E34E35E36E37E38E39E40E41E42E43E44E45E46E47E48E49E50E51E52E53E54E55E56E57E58E59E60E61E62E63E64E65E66. Solve: 3x2+4=2x.67. Calculate the discriminant associated with the equation 6x2+5x+1=0.Determine the number and nature of the roots of the equation in Exercise 67. Calculate the discriminant associated with the equation 6x2+5x+1=0.69E70E71E72EFencing a field A farmer wishes to enclose a rectangular garden with 300 yards of fencing. A river runs along one side of the garden, so no fencing is needed there. Find the dimensions of the rectangle if the area is 10,450 square yards.Flying rates A jet plane, flying 120 mph faster than a propeller-driven plane, travels 3520 miles in 3 hours less time than the propeller plane requires to fly the same distance. How fast does each plane fly?75E76E77E78E79E80E81E82E83E84E85E86E87E88E89E90ESolve each inequality; graph the solution set and write the answer in interval notation. 2x9592E93E94E95E96E97E98E99E100E101E102E103E104E105E106E107E108E109E110E111E112E113E114E115EFind all restrictions on x. xx(x1)=2.Find all restrictions on x. 43x2+3=7Solve each equation. 7(2a+5)7=6(a+8)Solve each equation. 1a215a=32aSolve for x: z=x.Solve for a: 1a=1b+1c.Test scores A students average on three tests is 75. If the final is to count as two one-hour tests, what grade must the student make to bring the average up to 80?Investment A woman invested part of 20,000 at 6 interest and the rest at 7. If her annual interest is 1260, how much did she invest at 6?9CT10CT11CT12CT13CT14CT15CT16CTSolve each equation. 4x28x+3=0Solve each equation. 2b212=5bSolve each equation. 19. 5x2=13520CT21. Use the Quadratic Formula to solve 3x25x9=0.Solve each equation. 3x25x14=4x2+5x+623. Find k such that x2+(k+1)x+k+4=0 will have two equal roots.24. Height of a projectile The height h in feet of a projectile shot up into the air, at time t in seconds, is given by the formula h=16t2+128t. Find the time t required for the projectile to return to its starting point.Find each absolute value. |512i|Find each absolute value. |13+i|27CT28CTSolve each equation. x+5=1230CTSolve each inequality; graph the solution set and write the answer in interval notation. 5x37Solve each inequality; graph the solution set and write the answer in interval notation. x+342x43Solve each inequality; graph the solution set and write the answer in interval notation. 52x17Solve each inequality; graph the solution set and write the answer in interval notation. 1+x3x34x2Solve each inequality; graph the solution set and write the answer in interval notation. x27x80Solve each inequality; graph the solution set and write the answer in interval notation. x+2x10Solve each equation. |3x+22|=4Solve each equation. |x+3|=|x3|Solve each inequality; graph the solution set and write the answer using interval notation. |2x5|>2Solve each inequality; graph the solution set and write the answer using interval notation. |2x+33|51CM2CM3CM4CM5CM6CM7CM8CM9CM10CM11CMSimplify each expression. Assume that all variables represent positive numbers. Give all answers with positive exponents. 4x-5y26x-2y-3213CM14CM15CM16CM17CM18CM