The following table shows the amount spent by four U.S. airlines to fly oneavailable seat 1 mile in the second quarter of 2014.t Set up a system and thensolve using technology. HINT [See the technology note accompanying Example1.]UnitedAmerican JetBlue SouthwestAirlineContinentalCost (e)14.914.611.912.4Suppose that, on a 3,000-mile New York to Los Angeles flight, UnitedContinental, American, and Southwest flew a total of 235 empty seats, costingthem a total of $100,515. If United Continental had three times as many emptyseats as American, how many empty seats did each of these three airlines carryon its flight?empty seatsUnited Continentalempty seatsAmericanSouthwestempty seats

Let x be the number of empty seats of United Continental, y be the number of empty seats of…

Answered: The following table shows the amount…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 17PS: Cholesterol Cholesterol in human blood is necessary, but too much can lead to health problems. There...

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Cholesterol Cholesterol in human blood is necessary, but too much can lead to health problems. There are three main types of cholesterol: HDL (high-density lipoproteins), LDL (low-density lipoproteins), and VLDL (very low-density lipoproteins). HDL is considered “good” cholesterol; LDL and VLDL are considered “bad” cholesterol. A standard fasting cholesterol blood test measures total cholesterol, HDL cholesterol, and triglycerides. These numbers are used to estimate LDL and VLDL, which are difficult to measure directly. Your doctor recommends that your combined LDL/VLDL cholesterol level be less than 130 milligrams per deciliter, your HDL cholesterol level be at least 60 milligrams per deciliter, and your total cholesterol level be no more than 200 milligrams per deciliter. (a) Write a system of linear inequalities for the recommended cholesterol levels. Let x represent the HDL cholesterol level, and let y represent the combined LDL VLDL cholesterol level. (b) Graph the system of inequalities from part (a). Label any vertices of the solution region. (c) Is the following set of cholesterol levels within the recommendations? Explain. LDL/VLDL: 120 milligrams per deciliter HDL: 90 milligrams per deciliter Total: 210 milligrams per deciliter (d) Give an example of cholesterol levels in which the LDL/VLDL cholesterol level is too high but the HDL cholesterol level is acceptable. (e) Another recommendation is that the ratio of total cholesterol to HDL cholesterol be less than 4 (that is, less than 4 to 1). Identify a point in the solution region from part (b) that meets this recommendation, and explain why it meets the recommendation.

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