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mathematics
college algebra
Intermediate Algebra 13th Edition Margaret Lial, John Hornsby, Terry McGinnis - Solutions
Solve each system. x + y = 2 = 0 = 2 = 1 2y 2x + 3y 4z = −4 -
Solve each system. -3x + y 2 = -10 - -4x + 2y + 3z = −1 2x + 3y2z = -5
Solve each system. If a system is inconsistent or has dependent equations, say so. 3x + 4y = 8 8y = 7 - 6x
Venus and Serena measured a tennis court and found that it was 42 ft longer than it was wide and had a perimeter of 228 ft. What were the length and the width of the tennis court?
The following systems have infinitely many solutions. Write the solution set of each system using set-builder notation. (a) 5x - 3y = 2 10x - 6y = 4 (b) 4x - 2y = 8 2x = y + 4 (c) 4х - бу = 10 -8x + 12y = -20
Solve each system using the elimination method. If a system is inconsistent or has dependent equations, say so. X x - 4y = -4 3x + y = 1
Solve each system. x + 3y - 62 = 7 2x = y + z = 1 x + 2y + 2z = −1
Solve each system. If a system is inconsistent or has dependent equations, say so. 3x + 5y + 3z = 2 6x + 5y + z = 0 3x + 10y - 2z = 6 =
LeBron and Jose measured a basketball court and found that the width of the court was 44 ft less than the length. If the perimeter was 288 ft, what were the length and the width of the basketball court? DE
Solve each system. 2x + 5y + 2z = 0 - 4x - 7y - - 3x = 1 3z 3x-8y - 2z = -6
Simplify Perform the indicated operations. (-23 + √64) (-4²) -6-2
Solve each system using the elimination method. If a system is inconsistent or has dependent equations, say so. 6x + 5y = 4 8 - 4x + 2y =
Determine whether the given ordered pair is a solution of the given system. x - y = 17 x + y = −1³ (8,-9)
Solve each system. 2x + 5y z = 12 =x + y4z = -10 - 8x - 20y + 4z = 31
Solve each system. If a system is inconsistent or has dependent equations, say so. 4x + y + z = 11 2 x-y-z = 4 y + 2z = 0
During the 2017 Major League Baseball season, the Cleveland Indians played 162 games. They won 42 more games than they lost. What was the team’s win-loss record that year? Team Cleveland Minnesota W 85 80 67 L 77 82 95 Kansas City Chicago White Sox Detroit Data from Major League Baseball.
Solve each system. −9 -9 5x - 2y + 32 3z = 4x + 3y + 5z = 4 2x + 4y = 2z = 14
Determine whether the given ordered pair is a solution of the given system. x + y = 6 x=y= 4' (5, 1)
Which system would be easier to solve using the substitution method? Why? System A: 5x - 3y = 7 2x + 8y = 3 System B: 7x + 2y = 4 y=-3x+1
Solve each system using the elimination method. If a system is inconsistent or has dependent equations, say so. 1 -x + x - 1 6 1 2 y = -9
Solve each system. If a system is inconsistent or has dependent equations, say so. -2x + 4y + 10z = 3 x - 2y 5z = 1 x + 2y + 2=-1
Evaluate for x = -4, y = 3, and z = 6. -5(x³ - y³)
During the 2017 Major League Baseball season, the Detroit Tigers played 162 games. They lost 34 more games than they won. What was the team’s win-loss record? Team W Cleveland Minnesota Kansas City Chicago White Sox Detroit Data from Major League Baseball. 85 80 67 L 77 82 95
Solve each system using the elimination method. If a system is inconsistent or has dependent equations, say so. + -3x + y = 6 y = 6 + 3x
Solve each system. x + 2y + z = 4 2x + x = y2 = −1 y2 = -2 y-z
Determine whether the given ordered pair is a solution of the given system. 3x - 5y = -12 x - y = 1 ; (-1,2)
To make a 10% acid solution, Jeffrey wants to mix some 5% solution with 10 L of 20% solution. How many liters of 5% solution should he use?
Solve each system. x - 2y + 5z = -7 -2x - 3y + 4z = −14 -3x + 5y - 2=-7
Solve each equation. 7(2x + 3) − 4(2x + 1) = 2(x + 1) -
Determine whether the given ordered pair is a solution of the given system. = 8 2xy 3x + 2y = 20 ; (5,2)
Solve each system using the elimination method. If a system is inconsistent or has dependent equations, say so. 5x - 4y = 2 - 10x + 8y = 7
Find the measures of angles x and y. Remember that (1) The sum of the measures of the angles of any triangle is 180°(2) Supplementary angles have a sum of 180°(3) vertical angles have equal measures.The Fan Cost Index (FCI) represents the cost of four average-price tickets to a sporting event
In the 2016 Summer Olympics, China, the United States, and Great Britain won a combined total of 258 medals. China won 51 fewer medals than the United States. Great Britain won 54 fewer medals than the United States. How many medals did each country win?
Solve each system. -x + 2y + 6z = 2 + 3x + 2y + 6z = 6 x + 4y - 3z = 1
Two cars start from points 420 mi apart and travel toward each other. They meet after 3.5 hr. Find the average rate of each car if one travels 30 mph slower than the other. 420 mi-
Solve each equation. |6x8 = 4
Solve each system. If a system is inconsistent or has dependent equations, say so. 2x + 3y - 2 = -16 x + 2y + 2z = -3 −3x + y + z = −5 -5
Solve each system by graphing. −5 -5 x + y = -2x + y = 1
Two top-grossing super hero films, Captain America: Civil War and Deadpool, earned $771.2 million together. If Deadpool grossed $45 million less than Captain America, how much did each film gross?
A chemist needs 12 L of a 40% alcohol solution. She must mix a 20% solution and a 50% solution. How many liters of each will b required to obtain what she needs? Liters of Solution Percent (as a decimal) Liters of Pure Alcohol
In 2016, the two American telecommunication companies with the greatest revenues were AT&T and Verizon. The two companies had combined revenues of $288.9 billion. AT&T’s revenue was $38.7 billion more than that of Verizon. What was the revenue for each company?
Find the measures of angles x and y. Remember that (1) The sum of the measures of the angles of any triangle is 180°(2) Supplementary angles have a sum of 180°(3) vertical angles have equal measures.The Fan Cost Index (FCI) represents the cost of four average-price tickets to a sporting event
Solve each system. 2x + y + 2z = 1 x + 2y + z = 2 x y z = 0
Solve each system by graphing. x + y = 4 2x - y = 2
Solve each system. If a system is inconsistent or has dependent equations, say so. 3x-y-z = -8 4x + 2y + 3z = 15 -6x + 2y + 2z = 10
In 2017, U.S. exports to Canada were $39.4 billion more than exports to Mexico. Together, exports to these two countries totaled $525.4 billion. How much were exports to each country?
Solve each equation. 0.04x + 0.06(x - 1) = 1.04
For the 2016 Major League Baseball season, the FCI prices for the Cleveland Indians and the Boston Red Sox totaled $540.10. The Boston FCI was $181.22 more than that of Cleveland. What were the FCIs for these teams?
The largest angle of a triangle measures 10° less than twice the middle-sized angle. The middle-sized angle measures 5° more than twice the smallest angle. The sum of the measures of the angles of any triangle is 180°. Find the measure of each angle. to y of
In 2016, the FCI prices for Major League Baseball and the National Football League totaled $722.37. The football FCI was $283.31 more than that of baseball. What were the FCIs for these sports?
Solve each system. x + y = 2 = -2 2xy + 2 = −5 -x + 2y3z = -4
Solve each system. x + 2y + -x = y + 32 = 1 32 3z = 2 -6x + y + z = −2 2
Solve each system. If a system is inconsistent or has dependent equations, say so. 4x - y = 2 3y+z= 9 x + 2z = 7
Solve each system by graphing. x - 4y = -4 3x + y = 1
Solve each equation.ax + by = d for x
Solve each system by graphing. 6x - y = 2 X x - 2y = 4
Solve each inequality. 2 3 x + 5 12 x = 20
Solve each system. If a system is inconsistent or has dependent equations, say so. 5x - y = 26 4y + 3z +32-4 x + 2 = 5
Solve each system. 1 3 -x + 3 -X 7. 1 - x + से+ 1 2 ग्रु 6 -लि लति -2 3 1 4 -1 -2 = 3 3 -v+ - 2 = 72 = 21 4
A local electronics store will sell seven AC adaptors and two rechargeable flashlights for $86, or three AC adaptors and four rechargeable flashlights for $84. What is the price of a single AC adaptor and a single rechargeable flashlight?
Solve each inequality. 3x + 2 ≤4
Solve each system by graphing. = 2x + y = 4 3x-y = 6
Leanna is a waitress at Bonefish Grill. During one particular day she sold 15 ribeye steak dinners and 20 grilled salmon dinners, totaling $886.50. Another day she sold 25 ribeye steak dinners and 10 grilled salmon dinners, totaling $973.50. How much did each type of dinner cost?
Solve each system. If a system is inconsistent or has dependent equations, say so. 3x – 4y + 2 = 8 –6x + 8y – 2± = −16 22 लाँत 2y + 1 2 N = 4
Solve each inequality. | 12t + 7| ≥ 0
Solve each system using the substitution method. If a system is inconsistent or has dependent equations, say so. -3x+y=-5 6y = 0 бу 3x + +
Solve each system using the substitution method. If a system is inconsistent or has dependent equations, say so. 5x - 4y = 9 3- 2y = -x
The owner of a tea shop wants to mix three kinds of tea to make 100 oz of a mixture that will sell for $0.83 per oz. He uses Orange Pekoe, which sells for $0.80 per oz, Irish Breakfast, for $0.85 per oz, and Earl Grey, for $0.95 per oz. If he wants to use twice as much Orange Pekoe as Irish
Solve each system. -4x + 3y - z = 4 N -5x - 3y + z = -4 -2x 32 = 12
Solve each system. 7x − 2y + 3 4 3z = −34 42 4z = 20 1 -x + y = 6 -2
Solve each system using the substitution method. If a system is inconsistent or has dependent equations, say so. x = 3y + 5 3 y 2 X ||
Solve each system using the substitution method. If a system is inconsistent or has dependent equations, say so. 6x - y =-9 4 +7x=-y
Solve each system. -2x + 3y = -15 4x - y = 15
Solve each system. 5x – 2z = 8 4y + 32 3z 1 2 x+ -y 3 = -9 || - 1
At a business meeting at Panera Bread, the bill for two cappuccinos and three caffe lattes was $19.75. At another table, the bill for one cappuccino and two caffe lattes was $11.97. How much did each type of beverage cost?
How many pounds of candy that sells for $1.75 per lb must be mixed with candy that sells for $1.25 per lb to obtain 10 lb of a mixture that should sell for $1.60 per lb? Root Beer assentre Have Wates met
Point A has coordinates (-2, 6) and point B has coordinates (4, -2).What is the equation of the horizontal line through A?
Point A has coordinates (-2, 6) and point B has coordinates (4, -2).What is the equation of the vertical line through B?
Solve each system. x - 3y = 7 2x - 6y = 14
Point A has coordinates (-2, 6) and point B has coordinates (4, -2).What is the slope of a line perpendicular to line AB?
Solve each system. 4.x - 3 -y + 3 1 x+ 3 1 2 2 2 = -6 3 2 = 0 = 2 = -5
A train travels 150 km in the same time that a plane travels 400 km. If the rate of the plane is 20 km per hr less than three times the rate of the train, find both rates. Train Plane r X y t d 150 400
Solve each system using the substitution method. If a system is inconsistent or has dependent equations, say so. x = 6y - 2 3 y X=- 4
Given that ƒ(x) = x2 + 3x - 6, find (a) ƒ(-3)(b) ƒ(a).
The graph shows a company’s costs to produce computer parts and the revenue from the sale of computer parts.(a) At what production level does the cost equal the revenue? What is the revenue at that point?(b) Profit is revenue less cost. Estimate the profit on the sale of 1100 parts.
Solve each system. x + y + z = 10 x-y2=0 -x + y = 2 = −4 -4
Solve each system. 5x – z = 38 2 -у + 1 4 3 1 5 + || - 17 5 2 = 4 6
How many pounds of candy that sells for $2.50 per lb must be mixed with candy that sells for $1.75 per lb to obtain 6 lb of a mixture that sells for $2.10 per lb? S Root Copentr Hase Wates, me! ep
Pure acid is to be added to a 10% acid solution to obtain 54 L of a 20% acid solution. What amounts of each should be used?
Solve each system using the substitution method. If a system is inconsistent or has dependent equations, say so. 1 2 x+ - 3x 1 y = = 3 + y = 0
A truck radiator holds 36 L of fluid. How much pure antifreeze must be added to a mixture that is 4% antifreeze to fill the radiator with a mixture that is 20% antifreeze?
Solve each system. If the system is inconsistent or has dependent equations, say so. -2x + 5y + z = −3 -3 5x + 14y z = -11 7x+9y2z = -5 -
Solve each system. If the system is inconsistent or has dependent equations, say so. 2x + 2y -3x + y -x = y + 32 = 4 62 = 5 2 = −2
Solve each system using the substitution method. If a system is inconsistent or has dependent equations, say so. 1 -X 1 4 5." 5x - y = 0 = 9
A freight train and an express train leave towns 390 km apart, traveling toward one another. The freight train travels 30 km per hr slower than the express train. They pass one another 3 hr later. What are their rates? Freight Train Express Train r X y t 3 3 d
Solve each system using the substitution method. If a system is inconsistent or has dependent equations, say so. y = 0.5x 1.5x 0.5y = 5.0
A motor scooter travels 20 mi in the same time that a bicycle travels 8 mi. If the rate of the scooter is 5 mph more than twice the rate of the bicycle, find both rates.
Solve each system. If the system is inconsistent or has dependent equations, say so. -5x + 5y - 20z = -40 x = y + 4z = 8 3x - 3y + 12z = 24
Using your immediate surroundings, give an example of three planes that satisfy the condition.(a) They intersect in a single point.(b) They do not intersect.(c) They intersect in infinitely many points.
In the triangle below, z = x + 10 and x + y = 100. Determine a third equation involving x, y, and z, and then find the measures of the three angles. ܐܘ ܐ܂ of
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