Solving a Linear System Using a Graphing Calculator Solve the system of linear equations by using the r r e f command on a graphing calculator. State your answer rounded to two decimal places.
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College Algebra
- Measurement Use the fact that 13 inches is approximately the same length as 33 centimeters to find a mathematical model that relates centimeters y to inches x. Then use the model to find the numbers of centimeters in 10 inches and 20 inches.arrow_forwardIn 1991, the moose population in a park wasmeasured to be 4,360. By 1999, the population was measured again to be 5,880. Assume the population continues to change linearly. a. Find a formula for the moose population,P since 1990. b. What does your model predict the meme population to be in 2003?arrow_forwardApplications Waste management The corrosive waste is industrial sewage limits the useful life of the piping in a waste processing plant to 12 years. The piping system was originally worth 137,000, and it will cost the company 33, 000 to remove it at the end of its 12-year useful life. Find a depreciation equation.arrow_forward
- Depreciation A sandwich shop purchases a used pizza oven for $875. After 5 years, the oven will have to be discarded and replaced. Write a linear equation giving the value V of the equipment during the 5 years it will be in use.arrow_forwardMonthly Salary A pharmaceutical salesperson receives a monthly salary of $5000 plus a commission of 7 of sales. Write a linear equation for the salesperson’s monthly wage W in terms of monthly sales S.arrow_forwardSuppose 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?arrow_forward
- Flood Control A river is 8 feet above its flood stage. The water is receding at a rate of 3 inches per hour. Write a mathematical model that shows the number of feet above flood stage after t hours. Assuming the water continually recedes at this rate, when will the river be 1 foot above its flood stage?arrow_forwardFilling a Tank The water level in a tank rises 4feet every minute. Write an equation of change that describes the height H, in feet, of the water level at time t in minutes.arrow_forwardThe Federal Helium Reserve held about 16 billioncubic feet of helium in 2010 and is being depleted byabout 2.1 billion cubic feet each year. a. Give a linear equation for the remaining federalhelium reserves, R, in terms of t, the number of years since 2010. b. In 2015, what will the helium reserves be? c. If the rate of depletion doesn’t change, in what year will the Federal Helium Reserve be depleted?arrow_forward
- Aerobic exercise a woman is spitfire by cycling and running every day. on Monday she spend half hour at each activity covering a total of 12 and half Mile .on Tuesday she runs for 12 minute and cycling for 45 minutes ,covering a total of 16 mile .assuming that are running and cycling speed don't change from day to day ,find this speeds.arrow_forwardA farmer finds there is a linear relationship betweenthe number of bean stalks, n, she plants and theyield, y, each plant produces. When she plants 30stalks, each plant yields 30 oz of beans. When sheplants 34 stalks, each plant produces 28 oz of beans.Find a linear relationship in the form y=mn+b that gives the yield when n stalks are planted.arrow_forwardThe maximum weight M that can be supported by a beam is jointly proportional to its width w and the square of its height h and inversely proportional to its length L. a Write an equation that expresses this proportionality. b Determine the constant of proportionality if a beam 4 in. wide, 6 in. high, and 12 ft long can support a weight of 4800 lb. c If a 10-ft beam made of the same material is 3 in. wide and 10 in. high, what is the maximum weight it can support?arrow_forward
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