College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
2nd Edition
ISBN: 9780077836344
Author: Julie Miller, Donna Gerken
Publisher: McGraw-Hill Education
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Chapter 7.3, Problem 84PE
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To graph: The equation of the parabola 3y2=12x on a square viewing window.

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2. Obtain the graph of the parabola y = -x² + 4x using transformations of the graph of y = x². Explain each step.
The Mauna Loa Observatory in Hawaii records the carbon dioxide concentration y (in parts per million) in Earth’s atmosphere. The January readings for various years are shown in Figure . In the July 1990 issue of Scientific American, these data were used to predict the carbon dioxide level in Earth’s atmosphere in the year 2035, using the quadratic model       y = 0.018t2 + 0.70t + 316.2         (Quadratic model for 1960–1990 data)       where t = 0 represents 1960, as shown in Figure a. The data shown in figure b represent the years 1980 through 2014 and can be modeled by     y = 0.014t2 + 0.66t + 320.3 (Quadratic model for 1980–2014)                  data where t = 0 represents 1960. What was the prediction given in the Scientific American article in 1990? Given the second model for 1980 through 2014, does this prediction for the year 2035 seem accurate?
Exercises 98–100 will help you prepare for the material covered in the first section of the next chapter. 98. a. Does (-5, –6) satisfy 2x – y = -4? b. Does (-5, -6) satisfy 3x – 5y = 15? 99. Graph y = -x – 1 and 4x – 3y = 24 in the same rectangular coordinate system. At what point do the graphs intersect? 100. Solve: 7x – 2(-2x + 4) = 3.

Chapter 7 Solutions

College Algebra (Collegiate Math)

Ch. 7.1 - Skill Practice 1. Graph the ellipse, and identify...Ch. 7.1 - Prob. 2SPCh. 7.1 - Prob. 3SPCh. 7.1 - Prob. 4SPCh. 7.1 - Prob. 5SPCh. 7.1 - Prob. 6SPCh. 7.1 - Prob. 7SPCh. 7.1 - 1. The circle, the ellipse, the hyperbola, and the...Ch. 7.1 - Prob. 2PECh. 7.1 - Prob. 3PE
Ch. 7.1 - Prob. 4PECh. 7.1 - Prob. 5PECh. 7.1 - Given x2a2+y2b2=1,whereab0, the ordered pairs...Ch. 7.1 - Prob. 7PECh. 7.1 - Prob. 8PECh. 7.1 - Prob. 9PECh. 7.1 - Prob. 10PECh. 7.1 - For Exercises 1112, from the equation of the...Ch. 7.1 - Prob. 12PECh. 7.1 - For Exercises 1322, a. Identify the center of the...Ch. 7.1 - Prob. 14PECh. 7.1 - For Exercises 13–22, a. Identify the center of...Ch. 7.1 - Prob. 16PECh. 7.1 - For Exercises 1322, a. Identify the center of the...Ch. 7.1 - For Exercises 1322, a. Identify the center of the...Ch. 7.1 - For Exercises 1322, a. Identify the center of the...Ch. 7.1 - For Exercises 13–22, a. Identify the center of...Ch. 7.1 - For Exercises 1322, a. Identify the center of the...Ch. 7.1 - For Exercises 13–22, a. Identify the center of...Ch. 7.1 - For Exercises 2332, a. Identify the center of the...Ch. 7.1 - Prob. 24PECh. 7.1 - For Exercises 2332, a. Identify the center of the...Ch. 7.1 - Prob. 26PECh. 7.1 - For Exercises 2332, a. Identify the center of the...Ch. 7.1 - Prob. 28PECh. 7.1 - For Exercises 2332, a. Identify the center of the...Ch. 7.1 - Prob. 30PECh. 7.1 - For Exercises 23–32, a. Identify the center of...Ch. 7.1 - Prob. 32PECh. 7.1 - For Exercises 33–42, a. Write the equation of the...Ch. 7.1 - For Exercises 33–42, a. Write the equation of the...Ch. 7.1 - For Exercises 3342, a. Write the equation of the...Ch. 7.1 - Prob. 36PECh. 7.1 - For Exercises 33–42, a. Write the equation of the...Ch. 7.1 - Prob. 38PECh. 7.1 - For Exercises 3342, a. Write the equation of the...Ch. 7.1 - Prob. 40PECh. 7.1 - For Exercises 3342, a. Write the equation of the...Ch. 7.1 - Prob. 42PECh. 7.1 - For Exercises 43–56, write the standard form of an...Ch. 7.1 - For Exercises 43–56, write the standard form of an...Ch. 7.1 - For Exercises 4356, write the standard form of an...Ch. 7.1 - Prob. 46PECh. 7.1 - For Exercises 4356, write the standard form of an...Ch. 7.1 - For Exercises 4356, write the standard form of an...Ch. 7.1 - For Exercises 4356, write the standard form of an...Ch. 7.1 - Prob. 50PECh. 7.1 - For Exercises 4356, write the standard form of an...Ch. 7.1 - Prob. 52PECh. 7.1 - For Exercises 43–56, write the standard form of an...Ch. 7.1 - For Exercises 4356, write the standard form of an...Ch. 7.1 - For Exercises 4356, write the standard form of an...Ch. 7.1 - Prob. 56PECh. 7.1 - Prob. 57PECh. 7.1 - 58. The reflective property of an ellipse is the...Ch. 7.1 - 59. A homeowner wants to make an elliptical rug...Ch. 7.1 - Coordinate axes are superimposed on a photo of an...Ch. 7.1 - Prob. 61PECh. 7.1 - A window above a door is to be made in the shape...Ch. 7.1 - Prob. 63PECh. 7.1 - Prob. 64PECh. 7.1 - Prob. 65PECh. 7.1 - Prob. 66PECh. 7.1 - Prob. 67PECh. 7.1 - Prob. 68PECh. 7.1 - Prob. 69PECh. 7.1 - Prob. 70PECh. 7.1 - Prob. 71PECh. 7.1 - Prob. 72PECh. 7.1 - Prob. 73PECh. 7.1 - 74. Halley’s Comet and the comet Hale-Bopp both...Ch. 7.1 - Prob. 75PECh. 7.1 - The planet Saturn orbits the Sun in an elliptical...Ch. 7.1 - Prob. 77PECh. 7.1 - 78. The Ellipse, also called President’s Park...Ch. 7.1 - For Exercises 7982, write the standard form of an...Ch. 7.1 - Prob. 80PECh. 7.1 - Prob. 81PECh. 7.1 - Prob. 82PECh. 7.1 - A circular vent pipe is placed on a plat roof. a....Ch. 7.1 - A cylindrical glass of water with diameter 3.5 in....Ch. 7.1 - Prob. 85PECh. 7.1 - Prob. 86PECh. 7.1 - Prob. 87PECh. 7.1 - Prob. 88PECh. 7.1 - Prob. 89PECh. 7.1 - Prob. 90PECh. 7.1 - Prob. 91PECh. 7.1 - Prob. 92PECh. 7.1 - Prob. 93PECh. 7.1 - Prob. 94PECh. 7.1 - 95. An elliptical pool table is in the shape of an...Ch. 7.1 - Prob. 96PECh. 7.1 - Prob. 97PECh. 7.1 - Prob. 98PECh. 7.1 - Prob. 99PECh. 7.1 - 100. Find the pints on the ellipse that are twice...Ch. 7.1 - Prob. 101PECh. 7.1 - Prob. 102PECh. 7.1 - Prob. 103PECh. 7.1 - Prob. 104PECh. 7.1 - Prob. 105PECh. 7.2 - Skill Practice Repeat Example 1 with the equation:...Ch. 7.2 - Prob. 2SPCh. 7.2 - Prob. 3SPCh. 7.2 - Prob. 4SPCh. 7.2 - Prob. 5SPCh. 7.2 - Prob. 6SPCh. 7.2 - Prob. 7SPCh. 7.2 - Prob. 1PECh. 7.2 - Prob. 2PECh. 7.2 - Prob. 3PECh. 7.2 - Prob. 4PECh. 7.2 - Prob. 5PECh. 7.2 - Prob. 6PECh. 7.2 - Prob. 7PECh. 7.2 - For Exercises 7–8, a. Use the distance formula to...Ch. 7.2 - For Exercises 9–12, determine whether the...Ch. 7.2 - Prob. 10PECh. 7.2 - For Exercises 912, determine whether the...Ch. 7.2 - Prob. 12PECh. 7.2 - For Exercises 13–22, a. Identify the center....Ch. 7.2 - Prob. 14PECh. 7.2 - For Exercises 13–22, a. Identify the center....Ch. 7.2 - Prob. 16PECh. 7.2 - For Exercises 1322, a. Identify the center. b....Ch. 7.2 - Prob. 18PECh. 7.2 - For Exercises 13–22, a. Identify the center....Ch. 7.2 - Prob. 20PECh. 7.2 - For Exercises 13–22, a. Identify the center....Ch. 7.2 - Prob. 22PECh. 7.2 - For Exercises 2332, a. Identify the center. b....Ch. 7.2 - Prob. 24PECh. 7.2 - For Exercises 2332, a. Identify the center. b....Ch. 7.2 - Prob. 26PECh. 7.2 - For Exercises 23–32, a. Identify the center....Ch. 7.2 - Prob. 28PECh. 7.2 - For Exercises 2332, a. Identify the center. b....Ch. 7.2 - Prob. 30PECh. 7.2 - For Exercises 23–32, a. Identify the center....Ch. 7.2 - Prob. 32PECh. 7.2 - For Exercises 3340, a. Write the equation of the...Ch. 7.2 - Prob. 34PECh. 7.2 - For Exercises 3340, a. Write the equation of the...Ch. 7.2 - For Exercises 33–40, a. Write the equation of...Ch. 7.2 - For Exercises 33–40, a. Write the equation of...Ch. 7.2 - Prob. 38PECh. 7.2 - For Exercises 33–40, a. Write the equation of...Ch. 7.2 - Prob. 40PECh. 7.2 - For Exercises 41–50, write the standard form of...Ch. 7.2 - Prob. 42PECh. 7.2 - For Exercises 4150, write the standard form of the...Ch. 7.2 - Prob. 44PECh. 7.2 - For Exercises 4150, write the standard form of the...Ch. 7.2 - Prob. 46PECh. 7.2 - For Exercises 41–50, write the standard form of...Ch. 7.2 - For Exercises 4150, write the standard form of the...Ch. 7.2 - For Exercises 41–50, write the standard form of...Ch. 7.2 - For Exercises 41–50, write the standard form of...Ch. 7.2 - Prob. 51PECh. 7.2 - Prob. 52PECh. 7.2 - Prob. 53PECh. 7.2 - Prob. 54PECh. 7.2 - Prob. 55PECh. 7.2 - Determine the eccentricity of a hyperbola with a...Ch. 7.2 - Prob. 57PECh. 7.2 - Prob. 58PECh. 7.2 - Two radio transmitters are 1000 mi apart at points...Ch. 7.2 - Prob. 60PECh. 7.2 - 61. In some designs of eyeglasses, the surface is...Ch. 7.2 - Prob. 62PECh. 7.2 - Prob. 63PECh. 7.2 - Prob. 64PECh. 7.2 - 65. In September 2009, Australian astronomer...Ch. 7.2 - 66. The cross section of a cooling tower of a...Ch. 7.2 - Prob. 67PECh. 7.2 - Prob. 68PECh. 7.2 - Prob. 69PECh. 7.2 - Prob. 70PECh. 7.2 - Prob. 71PECh. 7.2 - Prob. 72PECh. 7.2 - Prob. 73PECh. 7.2 - Prob. 74PECh. 7.2 - Prob. 75PECh. 7.2 - Prob. 76PECh. 7.2 - Prob. 77PECh. 7.2 - Prob. 78PECh. 7.2 - Prob. 79PECh. 7.2 - Prob. 80PECh. 7.2 - Prob. 81PECh. 7.2 - Prob. 82PECh. 7.2 - A hyperboloid of one sheet is a three-dimensional...Ch. 7.2 - a. Radio signals emitted from points (8,0)and(8,0)...Ch. 7.2 - Prob. 85PECh. 7.2 - Prob. 86PECh. 7.2 - Prob. 87PECh. 7.2 - Prob. 88PECh. 7.3 - Skill Practice Given a parabola defined by x2=4y,...Ch. 7.3 - Prob. 2SPCh. 7.3 - Prob. 3SPCh. 7.3 - Prob. 4SPCh. 7.3 - Prob. 5SPCh. 7.3 - Skill Practice Determine the standard form of an...Ch. 7.3 - Prob. 7SPCh. 7.3 - Prob. 1PECh. 7.3 - Prob. 2PECh. 7.3 - Prob. 3PECh. 7.3 - Prob. 4PECh. 7.3 - Prob. 5PECh. 7.3 - Prob. 6PECh. 7.3 - Prob. 7PECh. 7.3 - Prob. 8PECh. 7.3 - Prob. 9PECh. 7.3 - Prob. 10PECh. 7.3 - Prob. 11PECh. 7.3 - Prob. 12PECh. 7.3 - Prob. 13PECh. 7.3 - Prob. 14PECh. 7.3 - For Exercises 15–22, a model of the form is...Ch. 7.3 - Prob. 16PECh. 7.3 - For Exercises 1522, a model of the form...Ch. 7.3 - For Exercises 15–22, a model of the form is...Ch. 7.3 - For Exercises 15–22, a model of the form is...Ch. 7.3 - Prob. 20PECh. 7.3 - For Exercises 1522, a model of the form...Ch. 7.3 - Prob. 22PECh. 7.3 - A 20-in. satellite dish for a television has...Ch. 7.3 - 24. Solar cookers provide an alternative form of...Ch. 7.3 - If a cross section of the parabolic mirror in a...Ch. 7.3 - Prob. 26PECh. 7.3 - For Exercises 2734, an equation of a parabola...Ch. 7.3 - Prob. 28PECh. 7.3 - For Exercises 2734, an equation of a parabola...Ch. 7.3 - Prob. 30PECh. 7.3 - For Exercises 2734, an equation of a parabola...Ch. 7.3 - Prob. 32PECh. 7.3 - For Exercises 2734, an equation of a parabola...Ch. 7.3 - Prob. 34PECh. 7.3 - For Exercises 35–44, an equation of a parabola or...Ch. 7.3 - Prob. 36PECh. 7.3 - For Exercises 35–44, an equation of a parabola or...Ch. 7.3 - Prob. 38PECh. 7.3 - For Exercises 35–44, an equation of a parabola or...Ch. 7.3 - Prob. 40PECh. 7.3 - For Exercises 3544, an equation of a parabola...Ch. 7.3 - Prob. 42PECh. 7.3 - For Exercises 3544, an equation of a parabola...Ch. 7.3 - Prob. 44PECh. 7.3 - For Exercises 45–52, an equation of a parabola is...Ch. 7.3 - For Exercises 4552, an equation of a parabola is...Ch. 7.3 - For Exercises 45–52, an equation of a parabola is...Ch. 7.3 - For Exercises 45–52, an equation of a parabola is...Ch. 7.3 - For Exercises 45–52, an equation of a parabola is...Ch. 7.3 - For Exercises 45–52, an equation of a parabola is...Ch. 7.3 - For Exercises 45–52, an equation of a parabola is...Ch. 7.3 - Prob. 52PECh. 7.3 - For Exercises 53–58, fill in the blanks, Let ...Ch. 7.3 - Prob. 54PECh. 7.3 - For Exercises 5358, fill in the blanks, Let |p|...Ch. 7.3 - Prob. 56PECh. 7.3 - For Exercises 53–58, fill in the blanks, Let ...Ch. 7.3 - Prob. 58PECh. 7.3 - 59. If the focal length of a parabola is 6 units...Ch. 7.3 - If the axis of symmetry of a parabola is given by...Ch. 7.3 - For Exercises 6168, determine the standard form of...Ch. 7.3 - Prob. 62PECh. 7.3 - For Exercises 6168, determine the standard form of...Ch. 7.3 - Prob. 64PECh. 7.3 - For Exercises 6168, determine the standard form of...Ch. 7.3 - Prob. 66PECh. 7.3 - For Exercises 6168, determine the standard form of...Ch. 7.3 - Prob. 68PECh. 7.3 - Prob. 69PECh. 7.3 - 70. A solar water heater is made from a long sheet...Ch. 7.3 - The Hubble Space Telescope was launched into space...Ch. 7.3 - 72. The James Webb Space Telescope (JWST) is a now...Ch. 7.3 - Prob. 73PECh. 7.3 - Prob. 74PECh. 7.3 - Prob. 75PECh. 7.3 - Prob. 76PECh. 7.3 - Prob. 77PECh. 7.3 - Prob. 78PECh. 7.3 - Prob. 79PECh. 7.3 - Prob. 80PECh. 7.3 - Prob. 81PECh. 7.3 - Prob. 82PECh. 7.3 - Prob. 83PECh. 7.3 - Prob. 84PECh. 7.3 - Prob. 85PECh. 7.3 - Prob. 86PECh. 7.3 - Prob. 1PRECh. 7.3 - Prob. 2PRECh. 7.3 - Prob. 3PRECh. 7.3 - Prob. 4PRECh. 7.3 - Prob. 5PRECh. 7.3 - Prob. 6PRECh. 7.3 - Prob. 7PRECh. 7.3 - Prob. 8PRECh. 7.3 - For Exercises 916, determine whether the equation...Ch. 7.3 - Prob. 10PRECh. 7.3 - Prob. 11PRECh. 7.3 - Prob. 12PRECh. 7.3 - Prob. 13PRECh. 7.3 - Prob. 14PRECh. 7.3 - Prob. 15PRECh. 7.3 - Prob. 16PRECh. 7.3 - Prob. 17PRECh. 7.3 - Prob. 18PRECh. 7.3 - Prob. 19PRECh. 7.3 - For Exercises 17–22, an equation of a degenerate...Ch. 7.3 - Prob. 21PRECh. 7.3 - Prob. 22PRECh. 7.3 - Prob. 23PRECh. 7.3 - Prob. 24PRECh. 7.3 - Prob. 25PRECh. 7 - 1. How are the graphs of these ellipses similar...Ch. 7 - Prob. 2RECh. 7 - Prob. 3RECh. 7 - Prob. 4RECh. 7 - Prob. 5RECh. 7 - For Exercises 67, a. Write the equation of the...Ch. 7 - Prob. 7RECh. 7 - Prob. 8RECh. 7 - Prob. 9RECh. 7 - Prob. 10RECh. 7 - Prob. 11RECh. 7 - Prob. 12RECh. 7 - Prob. 13RECh. 7 - Prob. 14RECh. 7 - Prob. 15RECh. 7 - Prob. 16RECh. 7 - Prob. 17RECh. 7 - Prob. 18RECh. 7 - Prob. 19RECh. 7 - For Exercises 1720, an equation of a hyperbola is...Ch. 7 - Prob. 21RECh. 7 - Prob. 22RECh. 7 - Prob. 23RECh. 7 - Prob. 24RECh. 7 - Prob. 25RECh. 7 - Prob. 26RECh. 7 - Prob. 27RECh. 7 - Prob. 28RECh. 7 - Prob. 29RECh. 7 - Prob. 30RECh. 7 - Prob. 31RECh. 7 - For Exercises 3033, an equation of a parabola is...Ch. 7 - Prob. 33RECh. 7 - Prob. 34RECh. 7 - Prob. 35RECh. 7 - Prob. 36RECh. 7 - Prob. 37RECh. 7 - Prob. 38RECh. 7 - Prob. 39RECh. 7 - Prob. 40RECh. 7 - Prob. 41RECh. 7 - Prob. 42RECh. 7 - 43. Two large airship hangars were built in Orly,...Ch. 7 - Prob. 1TCh. 7 - Prob. 2TCh. 7 - Prob. 3TCh. 7 - Prob. 4TCh. 7 - Prob. 5TCh. 7 - Prob. 6TCh. 7 - Prob. 7TCh. 7 - Prob. 8TCh. 7 - Prob. 9TCh. 7 - For Exercises 916, a. Identify the equation as...Ch. 7 - Prob. 11TCh. 7 - Prob. 12TCh. 7 - For Exercises 916, a. Identify the equation as...Ch. 7 - Prob. 14TCh. 7 - Prob. 15TCh. 7 - For Exercises 916, a. Identify the equation as...Ch. 7 - 17. The entrance to a tunnel is in the shape of a...Ch. 7 - 18. Neptune orbits the Sun in an elliptical path...Ch. 7 - Prob. 19TCh. 7 - Prob. 20TCh. 7 - The middle span of the Golden Gate Bridge in San...Ch. 7 - Prob. 22TCh. 7 - Prob. 23TCh. 7 - Prob. 24TCh. 7 - Write the standard form of an equation of a...Ch. 7 - Prob. 26TCh. 7 - Prob. 27TCh. 7 - Prob. 28TCh. 7 - Prob. 29TCh. 7 - Prob. 30TCh. 7 - Prob. 31TCh. 7 - 1. Use long division to divide. Ch. 7 - Prob. 2CRECh. 7 - Prob. 3CRECh. 7 - Prob. 4CRECh. 7 - Prob. 5CRECh. 7 - Prob. 6CRECh. 7 - Prob. 7CRECh. 7 - Prob. 8CRECh. 7 - Prob. 9CRECh. 7 - Prob. 10CRECh. 7 - Prob. 11CRECh. 7 - Prob. 12CRECh. 7 - Prob. 13CRECh. 7 - Prob. 14CRECh. 7 - Prob. 15CRECh. 7 - Prob. 16CRECh. 7 - Prob. 17CRECh. 7 - Prob. 18CRECh. 7 - Prob. 19CRECh. 7 - Prob. 20CRECh. 7 - Prob. 21CRECh. 7 - Prob. 22CRECh. 7 - Prob. 23CRECh. 7 - Prob. 24CRECh. 7 - Prob. 25CRECh. 7 - Prob. 26CRECh. 7 - Prob. 27CRECh. 7 - Prob. 28CRECh. 7 - Prob. 29CRECh. 7 - Prob. 30CRE
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