AnswersLVA- Mathematical Modeling - FallSolving Quadratic Equations

Solving Quadratic Equations — Cumulative exam Answers

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Make a circle graph for each set of data. Top Fitness Activities in America Activity Participants (millions) Fitness Walking 81.3 Swimming 59.3 Exercising with equipment 43.2 Biking 42.5 Aerobics 27.2 Basketball 27.2 Source: Scholastic Kid’s Almanac a. c. b. d. Please select the best answer from the choices provided

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While on a trip, you notice that the video screen on the airplane, in addition to showing movies and news, records your altitude (in kilometers) above the ground. As the plane starts its descent (at time x = 0), you record the following data: Time, x (min.) Altitude, y (km) 0 12 2 10 4 8 6 6 8 4 10 2 If you were to graph this information, the resulting line would represent a linear function. Using this information from the table and the information on your graph, by how much does the altitude of the plane change for each three-minute change in time during the descent. a. The altitude of the plane decreases 2 kilometers for each 3 minutes into the descent. b. The altitude of the plane decreases 3 kilometers for each 3 minutes into the descent. c. For every 3 minutes, the altitude of the plane increases 3 kilometers. d. For every 3 minutes, the altitude of the plane increases 2 kilometers. Please select the best answer from the choices provided

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Suppose that, during a certain step in a chemical manufacturing process, the amount of chlorine dissolved in a solution (measured in parts per million (ppm)) is related to the elapsed time measured from the beginning of the step. Use the following table as a representation of this relationship. Elapsed Time (minutes) 3 6 9 12 15 Amount Dissolved (ppm) 18.0 20.4 22.4 24.4 26.2 The data is represented in the table graphically with elapsed time (minutes) on the horizontal axis and the amount of dissolved chlorine (ppm) on the vertical axis. What general trend does the data reflect? a. There is no apparent trend in the data. c. With increasing elapsed time, the amount of dissolved chlorine decreases. b. With increasing elapsed time, the amount of dissolved chlorine increases. d. With increasing elapsed time, the amount of dissolved chlorine remains the same. Please select the best answer from the choices provided

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For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and determine the y-intercept. Decide which table best illustrates these values for the equation: Table A a b c up or down y-intercept 0 -4 0 down (0,0) Table B a b c up or down y-intercept 0 0 -4 down (0,-4) Table C a b c up or down y-intercept -4 0 0 down (0,0) Table D a b c up or down y-intercept -4 0 0 up (0,-4) a. Table A c. Table C b. Table B d. Table D Please select the best answer from the choices provided

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Write an equation of the line that passes through a pair of points: a. y = x + 3 c. y = -x + 2 b. y = x - 3 d. y = -x - 2 Please select the best answer from the choices provided

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Find the slope of the line. a. Undefined c. b. 0 d. -1 Please select the best answer from the choices provided

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