Solution: In Exercises 15, solve by the method of your

In Exercises 15, solve by the method of your choice. Identify systems with no solution and systems with infi nitely many solutions, using set notation to express their solution sets. b y = 4x + 1 3x + 2y = 13

In Exercises 15, solve by the method of your choice. Identify systems with no solution and systems with infi nitely many solutions, using set notation to express their solution sets. b x + 4y = 14 2x - y = 1

In Exercises 15, solve by the method of your choice. Identify systems with no solution and systems with infi nitely many solutions, using set notation to express their solution sets. b 5x + 3y = 1 3x + 4y = -6

In Exercises 15, solve by the method of your choice. Identify systems with no solution and systems with infi nitely many solutions, using set notation to express their solution sets. b 2y - 6x = 7 3x - y = 9

In Exercises 15, solve by the method of your choice. Identify systems with no solution and systems with infi nitely many solutions, using set notation to express their solution sets. b 4x - 8y = 16 3x - 6y = 12

A company is planning to manufacture computer desks. The fi xed cost will be $60,000 and it will cost $200 to produce each desk. Each desk will be sold for $450. a. Write the cost function, C, of producing x desks. b. Write the revenue function, R, from the sale of x desks. c. Determine the break-even point. Describe what this means.

Talk about paintings by numbers: In 2007, this glittering Klimt set the record for the most ever paid for a painting, a title that had been held by Picassos Boy with a Pipe . Combined, the two paintings sold for $239 million. The difference between the selling price for Klimts work and the selling price for Picassos work was $31 million. Find the amount paid for each painting

The music business is evolving into a digital marketplace. The bar graph shows that from 2004 through 2009, CD album sales declined, while digital track sales grew. 1400 1200 1000 800 600 Sales (millions) 400 Sales of Albums and Digital Tracks in the United States 2009 293 1237 Year 2004 2007 511 868 770 200 142 Digital track sales CD album sales Source : RIAA a. In 2004, 142 million digital tracks were sold. For the period shown by the graph, this has increased at an average rate of 219 million digital tracks per year. Write a function that models the sale of digital tracks, y, in millions, x years after 2004. b. The function 95x + y = 770models the number of albums sold, y, in millions, x years after 2004. Use this model and the model you obtained in part (a) to determine when digital track sales caught up with album sales. How many digital tracks and how many albums were sold in that year?

A travel agent offers two package vacation plans. The fi rst plan costs $360 and includes 3 days at a hotel and a rental car for 2 days. The second plan costs $500 and includes 4 days at a hotel and a rental car for 3 days. The daily charge for the hotel is the same under each plan, as is the daily charge for the car. Find the cost per day for the hotel and for the car.

A chemist needs to mix a solution that is 34% silver nitrate with one that is 4% silver nitrate to obtain 100 milliliters of a mixture that is 7% silver nitrate. How many milliliters of each of the solutions must be used?

When a plane fl ies with the wind, it can travel 2160 miles in 3 hours. When the plane fl ies in the opposite direction, against the wind, it takes 4 hours to fl y the same distance. Find the average velocity of the plane in still air and the average velocity of the wind.