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mathematics
college algebra
College Algebra 11th Edition Michael Sullivan, Michael Sullivan III - Solutions
In Problems 19–68, solve each equation, if possible.8x - (3x + 2) = 3x - 10
In Problems 19–68, solve each equation, if possible. 3 2 -x + 2 1 2 1 2
In Problems 19–68, solve each equation, if possible.7 - (2x - 1) = 10
In Problems 19–68, solve each equation, if possible. 1 2 x-5: = || 3 -X
In Problems 19–68, solve each equation, if possible. 2 = 2x 3 1 3x =
In Problems 19–68, solve each equation, if possible. 1 1 2 = 6
In Problems 19–68, solve each equation, if possible. 2 3P 1 1 + ZP 3
In Problems 31–36, solve each equation by the Square Root Method. 2 ( ² n₁ + 4 ) ² = 16
In Problems 19–68, solve each equation, if possible. 1 3P लि =
In Problems 37–42, solve each equation by completing the square. x2 + | | ا دیا
In Problems 37–42, solve each equation by completing the square. 3x + x = = 0 2
In Problems 19–68, solve each equation, if possible. x + 1 3 + x + 2 7 2
In Problems 19–68, solve each equation, if possible. 2x + 1 3 + 16 = 3x
In Problems 19–68, solve each equation, if possible. 5 g(p+3) - 2 = (2p - 3) + 11-16
In Problems 31–36, solve each equation by the Square Root Method.(x - 1)2 = 4
In Problems 19–68, solve each equation, if possible. 4 y -5 || 5 2y
In Problems 19–68, solve each equation, if possible. 1 글로 3 (w + 1) - 3 = 2 5 - 4) 2 15
In Problems 19–68, solve each equation, if possible. 2 У + 4 y = 3
In Problems 31–36, solve each equation by the Square Root Method.(3z - 2)2 = 4
In Problems 19–68, solve each equation, if possible. 1 2 + 2 X 3 4
In Problems 19–68, solve each equation, if possible.0.2m = 0.9 + 0.5m
In Problems 19–68, solve each equation, if possible. (x + 2)(x − 3) = (x + 3)²
In Problems 19–68, solve each equation, if possible.0.9t = 1 + t
In Problems 19–68, solve each equation, if possible. x(2x - 3) = (2x + 1)(x-4)
In Problems 19–68, solve each equation, if possible. 3 1 X 3 1 6
In Problems 19–68, solve each equation, if possible. x(1 + 2x) = (2x - 1)(x - 2)
In Problems 19–68, solve each equation, if possible. (x + 7)(x - 1) = (x + 1)²
In Problems 19–68, solve each equation, if possible. w(4 w²) = 8w³
In Problems 19–68, solve each equation, if possible. p(p² + 3) = 12 + p²³
In Problems 43–66, find the real solutions, if any, of each equation. Use the quadratic formula. x2 + 2x - 13 = 0
In Problems 19–68, solve each equation, if possible. 2x x² - 4 4 x² - 4 3 x + 2
In Problems 19–68, solve each equation, if possible. X x-2 +3= 2 x - 2
In Problems 19–68, solve each equation, if possible. x 4 + x² - 9 x + 3 3 1²-9
In Problems 43–66, find the real solutions, if any, of each equation. Use the quadratic formula.x2 - 4x - 1 = 0
In Problems 19–68, solve each equation, if possible. 2x x + 3 -6 x + 3 2
In Problems 43–66, find the real solutions, if any, of each equation. Use the quadratic formula.x2 + 6x + 1 = 0
In Problems 19–68, solve each equation, if possible. X x + 2 3 2
In Problems 43–66, find the real solutions, if any, of each equation. Use the quadratic formula. 2 3 -x2 - x - 3 = 0
In Problems 19–68, solve each equation, if possible. 7 3x + 10 2 x-3
In Problems 43–66, find the real solutions, if any, of each equation. Use the quadratic formula.9x2 + 8x = 5
In Problems 43–66, find the real solutions, if any, of each equation. Use the quadratic formula. 3 -1/² 4 2
In Problems 19–68, solve each equation, if possible. 3x x-1 2
In Problems 43–66, find the real solutions, if any, of each equation. Use the quadratic formula.4x2 = 9x
In Problems 43–66, find the real solutions, if any, of each equation. Use the quadratic formula. 31². II 1|3
In Problems 43–66, find the real solutions, if any, of each equation. Use the quadratic formula. 3 1| x = 1 5
In Problems 43–66, find the real solutions, if any, of each equation. Use the quadratic formula.5x = 4x2
In Problems 43–66, find the real solutions, if any, of each equation. Use the quadratic formula.9t2 - 6t + 1 = 0
In Problems 43–66, find the real solutions, if any, of each equation. Use the quadratic formula.4u2 - 6u + 9 = 0
An equation of the form ax + b = 0 is called a(n) _______ equation or a(n) ___________ equation.
Going into the final exam, which will count as two-thirds of the final grade, Mike has test scores of 86, 80, 84, and 90. What minimum score does Mike need on the final in order to earn a B, which requires an average score of 80? What does he need to earn an A, which requires an average of 90?
The suggested list price of a new car is $24,000. The dealer’s cost is 85% of list. How much will you pay if the dealer is willing to accept $300 over cost for the car?
The area of the opening of a rectangular window is to be 143 square feet. If the length is to be 2 feet more than the width, what are the dimensions?
An adjustable water sprinkler that sprays water in a circular pattern is placed at the center of a square field whose area is 1250 square feet (see the figure). What is the shortest radius setting that can be used if the field is to be completely enclosed within the circle?
An open box is to be constructed from a square piece of sheet metal by removing a square with sides of length 1 foot from each corner and turning up the edges. If the box is to hold 4 cubic feet, what should be the dimensions of the sheet metal?
Herschel uses an app on his smartphone to keep track of his daily calories from meals. One day his calories from breakfast were 125 more than his calories from lunch, and his calories from dinner were 300 less than twice his calories from lunch. If his total caloric intake from meals was 2025,
The perimeter of a rectangle is 60 feet. Find its length and width if the length is 8 feet longer than the width.
In Problems 79–92, find the real solutions, if any, of each equation. Use any method. X x 2 + 2 x + 1 7x + 1 x²-x-2
A movie theater marks up the candy it sells by 275%. If a box of candy sells for $4.50 at the theater, how much did the theater pay for the box?
The perimeter of a rectangle is 42 meters. Find its length and width if the length is twice the width.
In Problems 79–92, find the real solutions, if any, of each equation. Use any method. 3x x + 2 + 1 x-1 4 - 7x x² + x - 2
A pair of leather boots, discounted by 30% for a clearance sale, has a price tag of $399. What was the original price?
The area of a rectangular window is to be 306 square centimeters. If the length exceeds the width by 1 centimeter, what are the dimensions?
The manager of the Coral Theater wants to know whether the majority of its patrons are adults or children. One day in July, 5200 tickets were sold and the receipts totaled $29,961. The adult admission is $7.50, and the children’s admission is $4.50. How many adult patrons were there?
In Problems 79–92, find the real solutions, if any, of each equation. Use any method. x² + √2x || 1 NIH 2
In Problems 79–92, find the real solutions, if any, of each equation. Use any method. 1 =x²= 2 = √2x + 1
How many right triangles have a hypotenuse that measures 4x + 5 inches and legs that measure 3x + 13 inches and x inches? What are the dimensions of the triangle(s)?
How many right triangles have a hypotenuse that measures 2x + 3 meters and legs that measure 2x - 5 meters and x + 7 meters? What are their dimensions?
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 $18,000, what was its list price? How much can be saved by purchasing last year’s model?
A store sells refurbished iPhones that cost 12% less than the original price. If the new price of a refurbished iPhone is $572, what was the original price? How much is saved by purchasing the refurbished phone?
In Problems 79–92, find the real solutions, if any, of each equation. Use any method.x2 + x = 1
In Problems 79–92, find the real solutions, if any, of each equation. Use any method.x2 + x = 4
Going into the final exam, which will count as two tests, Brooke has test scores of 80, 83, 71, 61, and 95. What score does Brooke need on the final in order to have an average score of 80?
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 $1083 for working 50 hours, 4 of which were on Sunday, what is her regular hourly rate?
Kim is paid time-and-a-half for hours worked in excess of 40 hours and had gross weekly wages of $910 for 48 hours worked. What is her regular hourly rate?
In Problems 79–92, find the real solutions, if any, of each equation. Use any method.2 = y + 6y2
A total of $10,000 is to be divided between Sean and George, with George to receive $3000 less than Sean. How much will each receive?
In Problems 69–72, use a calculator to solve each equation. Round the solution to two decimal places. 18.63x - 21.2 = 2.6 14 2.32 x - 20
In Problems 79–92, find the real solutions, if any, of each equation. Use any method.2 + z = 6z2
A total of $20,000 is to be invested, some in bonds and some in certificates of deposit (CDs). If the amount invested in bonds is to exceed that in CDs by $3000, how much will be invested in each type of investment?
In Problems 69–72, use a calculator to solve each equation. Round the solution to two decimal places. 14.72 - 21.58x 18 2.11 x + 2.4
In Problems 79–92, find the real solutions, if any, of each equation. Use any method.6x2 + 7x - 20 = 0
In Problems 69–72, use a calculator to solve each equation. Round the solution to two decimal places. 6.2x 19.1 83.72 0.195
In Problems 67–72, find the real solutions, if any, of each equation. Use the quadratic formula and a calculator. Express any solutions rounded to two decimal places. πχ? + πχ - 2 = 0 Π.Χ
In Problems 67–72, find the real solutions, if any, of each equation. Use the quadratic formula and a calculator. Express any solutions rounded to two decimal places. x² + √√√2x - 2 = 0
In Problems 79–92, find the real solutions, if any, of each equation. Use any method.10x2 - 19x - 15 = 0
In Problems 69–72, use a calculator to solve each equation. Round the solution to two decimal places. 3.2x + 21.3 65.871 = 19.23
In Problems 79–92, find the real solutions, if any, of each equation. Use any method.9x2 - 12x + 4 = 0
In Problems 19–68, solve each equation, if possible. x + 1 x² + 2x x + 4 x² + x -3 x² + 3x + 2
In Problems 79–92, find the real solutions, if any, of each equation. Use any method.16x2 - 8x + 1 = 0
In Problems 67–72, find the real solutions, if any, of each equation. Use the quadratic formula and a calculator. Express any solutions rounded to two decimal places. πχ2 - x - π = 0
In Problems 79–92, find the real solutions, if any, of each equation. Use any method. x2 - 6 = 0
In Problems 79–92, find the real solutions, if any, of each equation. Use any method. x2 - 5 = 0
In Problems 19–68, solve each equation, if possible. X ²-9 x - 4 2 x² + 3x 1² 10 - 3x
In Problems 67–72, find the real solutions, if any, of each equation. Use the quadratic formula and a calculator. Express any solutions rounded to two decimal places. x² + √√3x3 = 0
In Problems 73–78, use the discriminant to determine whether each quadratic equation has two unequal real solutions, a repeated real solution (a double root), or no real solution, without solving the equation. 2x2 - 3x - 7 = 0
In Problems 19–68, solve each equation, if possible. 5 -3 se 11 a + 5z - 11 2z - 3 5-z 4
Find the number b for which x = 2 is a solution of the equation.x + 2b = x - 4 + 2bx
Find the number a for which x = 4 is a solution of the equation.x + 2a = 16 + ax - 6a
In Problems 73–78, use the discriminant to determine whether each quadratic equation has two unequal real solutions, a repeated real solution (a double root), or no real solution, without solving the equation. x2 + 4x + 7 = 0
In Problems 73–78, use the discriminant to determine whether each quadratic equation has two unequal real solutions, a repeated real solution (a double root), or no real solution, without solving the equation. 2x2 - 6x + 7 = 0
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