Solving Linear EquationsUse the figure to answer the question.X =-2Submit Answer7(-3---3)4y = f(x) 1y = g(x)yX-2H-3-5-What are the solutions of the equation f(x) = g(x)? (Enter your answers as a comma-separated list.)2X

Answered: Image /qna-images/answer/6d129e0b-bd8d-4dba-b58c-80814825ddf9.jpg

Answered: Use the figure to answer the question.…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section1.4: Solving Quadratic Equations

Problem 43E

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Applications Use system of equations to solve each problem. Break-even point Roll wheel, Inc., can manufacture a pair of in-line skates for 43.53. Daily fixed costs of manufacturing in-line skates amount to 742.72. A pair of in-line skates can be sold for 89.95. Find equations expressing the expenses E and the revenue R as a functions of x, the numbers of pairs manufactured and sold. At what production level will expenses equal revenues?
Gas Mileage The distance d, in miles, that you can travel without stopping for gas depends on the number of gallons g of gasoline in your tank and the gas mileage m, in miles per gallon, that your car gets. The relationship is d=gm. 2.5 a. How far can you drive if you have 12 gallons of gas in your tank and your car gets 24 miles per gallon? b. Solve Equation 2.5 for m. i. Explain in everyday terms what this new equation means. ii. Use this equation to determine the gas mileage of your car if you can drive 335 miles on a full 13-gallon tank of gas. c. A Detroit engineer wants to be sure that the car she is designing can go 425 miles on a full tank of gas, and she must design a gas tank to ensure that. She does not yet know what gas mileage this new-model car will get, and so she decides to make a graph of the size of the gas tank as a function of gas mileage. i. Solve Equation 2.5 for g using 425 for the distance. ii. Make the graph that the engineer made. Is it a straight line?
Finding Intercepts Consider the linear equation ax+by=c where a,b, and c are real numbers. (a) What is the x-intercept of the graph of the equation when a0? (b) What is the y-intercept of the graph of the equation when b0? (c) Use your results from parts (a) and (b) to find the x-andy-intercepts of the graph of 2x+7y=11.
Suppose the world’s oil reserves in 2014 are 1,820 billion barrels. If, on average, the total reserves are decreasing by 25 billion barrels of oil each year: a. Give a linear equation for the remaining oil reserves,R, in terms of t, the number of years since now. b. Seven years from now, what will the oil reserves be? c. If the rate at which the reserves are decreasing is constant, when will the world’s oil reserves be depleted?
Mixing solutions A chemist has two solutions; one has a 20 concentration and the other a 45 concentration. How many liters of each must she mix to obtain 10 liters of 30 concentration?

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Use the figure to answer the question. -2 X = (-3----3-) y = g(x) y = f(x) 1 X y X 2 f -2 -3 -5 What are the solutions of the equation f(x) = g(x)? (Enter your answers as a comma-separated list.)