In the following exercises, determine whether each ordered pair is a solution to the system.
280.
(a)
(b)
Want to see the full answer?
Check out a sample textbook solutionChapter 5 Solutions
Elementary Algebra
Additional Math Textbook Solutions
College Algebra
College Algebra (5th Edition)
College Algebra (10th Edition)
Algebra and Trigonometry
A Graphical Approach to College Algebra (6th Edition)
Introductory and Intermediate Algebra for College Students (5th Edition)
- Which equation has the same solution as x2 + 16x – 11 = 4? O (x – 8)² = –49 O (x + 8)² = –49 O (x + 8)² = 79 О(-8)2 — 79arrow_forwardA chemical manufacturer wants to lease a fleet of 26 railroad tank cars with a combined carrying capacity of 504,000 gallons. Tank cars with three different carrying capacities are available: 9,000 gallons, 18,000 gallons, and 36,000 gallons. Letting t=number of 36,000 railroad tank cars in the fleet, 2t−4 9,000-gallon railroad tank cars, and −3t+30 18,000 gallon railroad tank cars will be in the fleet for a certain range of t. The cost of leasing a 9,000-gallon tank car is $550 permonth, an 18,000-gallon tank car is $750 per month, and a 36,000-gallon tank car is $950 per month. Which of the solutions to the number of each type of tank car in the fleet would minimize the monthly leasing cost? 9,000-gallon tank cars, 18,000-gallon tank cars, and 36,000-gallon tank cars. (Simplify your answers. Type whole numbers.)arrow_forwardA chemical manufacturer wants to lease a fleet of 22 railroad tank cars with a combined carrying capacity of 414,000 gallons. Tank cars with three different carrying capacities are available: 9,000 gallons, 18,000 gallons, and 36,000 gallons. Letting t = number of 36,000 railroad tank cars in the fleet, 2t -2 9,000 gallon railroad tank cars, and -3t+24 18,000-gallon railroad tank cars will be in the fleet for a certain range of t. The cost of leasing 9,000-gallon tank car is $250 per month, 18,000-gallon tank car is $750 per month, and a 36,000-gallon tank car is $1350 per month. Which of the solutions to the number of each type of tank car in the fleet would minimize the monthly leading costarrow_forward
- Need helparrow_forwardWhich equation has the same solution as x2 + 19x – 10 = 2? O (x – 9.5)2 = –78.25 O (x + 9.5)2 = 102.25 O (x + 9.5)² = -78.25 О - 9.5)? — 102.25 (x –arrow_forwardA student checked whether d= -2 is a solution of -3d+(-4)=2, as shown. Describe and correct the student's error.arrow_forward
- A popular band is selling three different versions of their recent album. They found out that the profit (in Rupees) is given by the following: P = 35, 000 - 0.1a2 - b2 - c2 +80b + 100c, where a, b, and c are the number of albums sold for the gold version, silver version, and standard version respectively. If they plan to sell a total of 205 albums, find the number of albums for each version that will give the maximum profit using LAGRANGE MULTIPLIERS.arrow_forwardYou and a friend decide to go skydiving. Your friend jumps from the airplane first and immediately opens his parachute. His altitude, y, in meters, sfter t seconds is modeled by the equation y=-4t+300. You jump 5 seconds after your friend and free fall for a few seconds. Your altitude, in meters, during this time, is modeled by the equation y=-4.9(t-5)2+300. When do you catch up to your friend?arrow_forwardearl adds his grades for the second grading and obtains -12x3-7x2+32x-15. If he has (4x-3) subjects what is his average grade?arrow_forward
- Algebra for College StudentsAlgebraISBN:9781285195780Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage LearningIntermediate AlgebraAlgebraISBN:9781285195728Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage Learning