College Algebra: Concepts Through Functions (4th Edition)
College Algebra: Concepts Through Functions (4th Edition)
4th Edition
ISBN: 9780134686967
Author: Michael Sullivan, Michael Sullivan III
Publisher: PEARSON
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Concept explainers

Family of Curves
A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These…
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are…
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) ge…
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
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Chapter F.4, Problem 57AYU
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Chapter F Solutions

College Algebra: Concepts Through Functions (4th Edition)

Ch. F.1 - Prob. 1AYUCh. F.1 - If −3 and 5 are the coordinates of two points on...Ch. F.1 - If 3 and 4 are the legs of a right triangle, the...Ch. F.1 - Use the converse of the Pythagorean Theorem to...Ch. F.1 - The area A of a triangle whose base is b and whose...Ch. F.1 - True or False Two triangles are congruent if two...Ch. F.1 - Prob. 7AYUCh. F.1 - The coordinate axes divide the xy-plane into four...Ch. F.1 - If three distinct points P, Q, and R all lie on a...Ch. F.1 - True or False The distance between two points is...
Ch. F.1 - True or False The point (−1, 4) lies in quadrant...Ch. F.1 - True or False The midpoint of a line segment is...Ch. F.1 - Which of the following statements is true for a...Ch. F.1 - Prob. 14AYUCh. F.1 - Prob. 15AYUCh. F.1 - Prob. 16AYUCh. F.1 - Prob. 17AYUCh. F.1 - Prob. 18AYUCh. F.1 - In Problems 19–32, find the distance d(P1, P2)...Ch. F.1 - In Problems 19–32, find the distance d(P1, P2)...Ch. F.1 - Prob. 21AYUCh. F.1 - Prob. 22AYUCh. F.1 - Prob. 23AYUCh. F.1 - Prob. 24AYUCh. F.1 - Prob. 25AYUCh. F.1 - Prob. 26AYUCh. F.1 - Prob. 27AYUCh. F.1 - Prob. 28AYUCh. F.1 - Prob. 29AYUCh. F.1 - Prob. 30AYUCh. F.1 - In Problems 19–32, find the distance d(P1, P2)...Ch. F.1 - Prob. 32AYUCh. F.1 - In Problems 33–38, plot each point and form the...Ch. F.1 - Prob. 34AYUCh. F.1 - Prob. 35AYUCh. F.1 - Prob. 36AYUCh. F.1 - Prob. 37AYUCh. F.1 - Prob. 38AYUCh. F.1 - Prob. 39AYUCh. F.1 - Prob. 40AYUCh. F.1 - Prob. 41AYUCh. F.1 - Prob. 42AYUCh. F.1 - Prob. 43AYUCh. F.1 - Prob. 44AYUCh. F.1 - In Problems 39–48, find the midpoint of the line...Ch. F.1 - Prob. 46AYUCh. F.1 - Prob. 47AYUCh. F.1 - Prob. 48AYUCh. F.1 - Find all points having an x-coordinate of 2 whose...Ch. F.1 - Find all points having a y-coordinate of −3 whose...Ch. F.1 - Prob. 51AYUCh. F.1 - Prob. 52AYUCh. F.1 - Prob. 53AYUCh. F.1 - Prob. 54AYUCh. F.1 - Geometry Find the midpoint of each diagonal of a...Ch. F.1 - Geometry Verify that the points (0, 0) .(a, 0).and...Ch. F.1 - Prob. 57AYUCh. F.1 - Prob. 58AYUCh. F.1 - Prob. 59AYUCh. F.1 - Prob. 60AYUCh. F.1 - Prob. 61AYUCh. F.1 - Prob. 62AYUCh. F.1 - Prob. 63AYUCh. F.1 - Prob. 64AYUCh. F.1 - Prob. 65AYUCh. F.1 - Prob. 66AYUCh. F.1 - Prob. 67AYUCh. F.1 - Prob. 68AYUCh. F.1 - Poverty Threshold Poverty thresholds are...Ch. F.1 - Prob. 70AYUCh. F.1 - Prob. 71AYUCh. F.1 - Write a paragraph that describes a Cartesian...Ch. F.2 - Solve the equation 2(x + 3) − 1 = − 7. (pp....Ch. F.2 - Prob. 2AYUCh. F.2 - Prob. 3AYUCh. F.2 - Prob. 4AYUCh. F.2 - Prob. 5AYUCh. F.2 - Prob. 6AYUCh. F.2 - Prob. 7AYUCh. F.2 - Prob. 8AYUCh. F.2 - Prob. 9AYUCh. F.2 - Prob. 10AYUCh. F.2 - In Problems 11–16, tell whether the given points...Ch. F.2 - Prob. 12AYUCh. F.2 - In Problems 11–16, tell whether the given points...Ch. F.2 - In Problems 11–16, tell whether the given points...Ch. F.2 - Prob. 15AYUCh. F.2 - Prob. 16AYUCh. F.2 - In Problems 17–28, find the intercepts and graph...Ch. F.2 - Prob. 18AYUCh. F.2 - Prob. 19AYUCh. F.2 - Prob. 20AYUCh. F.2 - Prob. 21AYUCh. F.2 - Prob. 22AYUCh. F.2 - Prob. 23AYUCh. F.2 - Prob. 24AYUCh. F.2 - Prob. 25AYUCh. F.2 - Prob. 26AYUCh. F.2 - Prob. 27AYUCh. F.2 - Prob. 28AYUCh. F.2 - Prob. 29AYUCh. F.2 - Prob. 30AYUCh. F.2 - Prob. 31AYUCh. F.2 - Prob. 32AYUCh. F.2 - Prob. 33AYUCh. F.2 - Prob. 34AYUCh. F.2 - Prob. 35AYUCh. F.2 - Prob. 36AYUCh. F.2 - Prob. 37AYUCh. F.2 - Prob. 38AYUCh. F.2 - Prob. 39AYUCh. F.2 - Prob. 40AYUCh. F.2 - Prob. 41AYUCh. F.2 - Prob. 42AYUCh. F.2 - Prob. 43AYUCh. F.2 - Prob. 44AYUCh. F.2 - Prob. 45AYUCh. F.2 - Prob. 46AYUCh. F.2 - Prob. 47AYUCh. F.2 - Prob. 48AYUCh. F.2 - Prob. 49AYUCh. F.2 - Prob. 50AYUCh. F.2 - Prob. 51AYUCh. F.2 - Prob. 52AYUCh. F.2 - Prob. 53AYUCh. F.2 - Prob. 54AYUCh. F.2 - Prob. 55AYUCh. F.2 - Prob. 56AYUCh. F.2 - Prob. 57AYUCh. F.2 - Prob. 58AYUCh. F.2 - Prob. 59AYUCh. F.2 - Prob. 60AYUCh. F.2 - Prob. 61AYUCh. F.2 - Prob. 62AYUCh. F.2 - Prob. 63AYUCh. F.2 - Prob. 64AYUCh. F.2 - Prob. 65AYUCh. F.2 - Prob. 66AYUCh. F.2 - Prob. 67AYUCh. F.2 - Prob. 68AYUCh. F.2 - Prob. 69AYUCh. F.2 - Prob. 70AYUCh. F.2 - Prob. 71AYUCh. F.2 - Prob. 72AYUCh. F.2 - Prob. 73AYUCh. F.2 - Prob. 74AYUCh. F.2 - Prob. 75AYUCh. F.2 - Prob. 76AYUCh. F.2 - Prob. 77AYUCh. F.2 - Prob. 78AYUCh. F.2 - Prob. 79AYUCh. F.2 - Prob. 80AYUCh. F.2 - Prob. 81AYUCh. F.2 - Prob. 82AYUCh. F.2 - Prob. 83AYUCh. F.2 - Prob. 84AYUCh. F.2 - Prob. 85AYUCh. F.2 - Prob. 86AYUCh. F.2 - Prob. 87AYUCh. F.2 - Prob. 88AYUCh. F.2 - Prob. 89AYUCh. F.2 - Prob. 90AYUCh. F.2 - Prob. 91AYUCh. F.2 - Prob. 92AYUCh. F.2 - Prob. 93AYUCh. F.2 - Prob. 94AYUCh. F.2 - Prob. 95AYUCh. F.2 - Prob. 98AYUCh. F.3 - The slope of a vertical line is __________; the...Ch. F.3 - For the line 2x+ 3y = 6, the x-intercept is _____...Ch. F.3 - True or False The equation 3x + 4y = 6 is written...Ch. F.3 - Prob. 4AYUCh. F.3 - Prob. 5AYUCh. F.3 - Prob. 6AYUCh. F.3 - Prob. 7AYUCh. F.3 - Prob. 8AYUCh. F.3 - Prob. 9AYUCh. F.3 - Prob. 10AYUCh. F.3 - Prob. 11AYUCh. F.3 - Prob. 12AYUCh. F.3 - In Problems 13–16, (a) find the slope of the line...Ch. F.3 - In Problems 13–16, (a) find the slope of the line...Ch. F.3 - Prob. 15AYUCh. F.3 - Prob. 16AYUCh. F.3 - In Problems 17-24, plot each pair of points and...Ch. F.3 - Prob. 18AYUCh. F.3 - Prob. 19AYUCh. F.3 - Prob. 20AYUCh. F.3 - Prob. 21AYUCh. F.3 - Prob. 22AYUCh. F.3 - Prob. 23AYUCh. F.3 - Prob. 24AYUCh. F.3 - In Problems 25–32, graph the line that contains...Ch. F.3 - In Problems 25–32, graph the line that contains...Ch. F.3 - In Problems 25–32, graph the line that contains...Ch. F.3 - In Problems 25–32, graph the line that contains...Ch. F.3 - In Problems 25–32, graph the line that contains...Ch. F.3 - Prob. 30AYUCh. F.3 - Prob. 31AYUCh. F.3 - Prob. 32AYUCh. F.3 - Prob. 33AYUCh. F.3 - Prob. 34AYUCh. F.3 - Prob. 35AYUCh. F.3 - Prob. 36AYUCh. F.3 - Prob. 37AYUCh. F.3 - Prob. 38AYUCh. F.3 - In Problems 39–46, find an equation of the line...Ch. F.3 - Prob. 40AYUCh. F.3 - In Problems 39–46, find an equation of the line...Ch. F.3 - In Problems 39–46, find an equation of the line...Ch. F.3 - In Problems 39–46, find an equation of the line...Ch. F.3 - Prob. 44AYUCh. F.3 - In Problems 39–46, find an equation of the line...Ch. F.3 - Prob. 46AYUCh. F.3 - Prob. 47AYUCh. F.3 - Prob. 48AYUCh. F.3 - In Problems 47–72, find an equation for the line...Ch. F.3 - Prob. 50AYUCh. F.3 - In Problems 47–72, find an equation for the line...Ch. F.3 - Prob. 52AYUCh. F.3 - Prob. 53AYUCh. F.3 - Prob. 54AYUCh. F.3 - Prob. 55AYUCh. F.3 - Prob. 56AYUCh. F.3 - Prob. 57AYUCh. F.3 - Prob. 58AYUCh. F.3 - Prob. 59AYUCh. F.3 - Prob. 60AYUCh. F.3 - Prob. 61AYUCh. F.3 - Prob. 62AYUCh. F.3 - Prob. 63AYUCh. F.3 - Prob. 64AYUCh. F.3 - Prob. 65AYUCh. F.3 - Prob. 66AYUCh. F.3 - In Problems 47-72, find an equation for the line...Ch. F.3 - Prob. 68AYUCh. F.3 - Prob. 69AYUCh. F.3 - Prob. 70AYUCh. F.3 - Prob. 71AYUCh. F.3 - Prob. 72AYUCh. F.3 - Prob. 73AYUCh. F.3 - Prob. 74AYUCh. F.3 - Prob. 75AYUCh. F.3 - Prob. 76AYUCh. F.3 - Prob. 77AYUCh. F.3 - Prob. 78AYUCh. F.3 - In Problems 73–92, find the slope and y-intercept...Ch. F.3 - Prob. 80AYUCh. F.3 - Prob. 81AYUCh. F.3 - Prob. 82AYUCh. F.3 - Prob. 83AYUCh. F.3 - Prob. 84AYUCh. F.3 - Prob. 85AYUCh. F.3 - Prob. 86AYUCh. F.3 - Prob. 87AYUCh. F.3 - Prob. 88AYUCh. F.3 - Prob. 89AYUCh. F.3 - Prob. 90AYUCh. F.3 - Prob. 91AYUCh. F.3 - Prob. 92AYUCh. F.3 - Prob. 93AYUCh. F.3 - Prob. 94AYUCh. F.3 - Prob. 95AYUCh. F.3 - Prob. 96AYUCh. F.3 - Prob. 97AYUCh. F.3 - Prob. 98AYUCh. F.3 - Prob. 99AYUCh. F.3 - Prob. 100AYUCh. F.3 - Prob. 101AYUCh. F.3 - Prob. 102AYUCh. F.3 - Prob. 103AYUCh. F.3 - Prob. 104AYUCh. F.3 - Prob. 105AYUCh. F.3 - Prob. 106AYUCh. F.3 - Prob. 107AYUCh. F.3 - Prob. 108AYUCh. F.3 - Prob. 109AYUCh. F.3 - Prob. 110AYUCh. F.3 - Prob. 111AYUCh. F.3 - Prob. 112AYUCh. F.3 - Prob. 113AYUCh. F.3 - Prob. 114AYUCh. F.3 - Prob. 115AYUCh. F.3 - Prob. 116AYUCh. F.3 - Prob. 117AYUCh. F.3 - Cost Equation The fixed costs of operating a...Ch. F.3 - Prob. 119AYUCh. F.3 - Prob. 120AYUCh. F.3 - Prob. 121AYUCh. F.3 - Prob. 122AYUCh. F.3 - Prob. 123AYUCh. F.3 - Prob. 124AYUCh. F.3 - Prob. 125AYUCh. F.3 - Prob. 126AYUCh. F.3 - Prob. 127AYUCh. F.3 - Prob. 128AYUCh. F.3 - Prob. 129AYUCh. F.3 - Prob. 130AYUCh. F.3 - Prob. 131AYUCh. F.3 - Prob. 132AYUCh. F.3 - Prob. 133AYUCh. F.3 - Prob. 134AYUCh. F.3 - Prob. 138AYUCh. F.3 - Prob. 139AYUCh. F.3 - Prob. 140AYUCh. F.3 - What can you say about two lines with the same...Ch. F.3 - Prob. 142AYUCh. F.3 - Prob. 143AYUCh. F.3 - Prob. 144AYUCh. F.3 - Prob. 145AYUCh. F.4 - Prob. 1AYUCh. F.4 - Prob. 2AYUCh. F.4 - Prob. 3AYUCh. F.4 - Prob. 4AYUCh. F.4 - Prob. 5AYUCh. F.4 - Prob. 6AYUCh. F.4 - Prob. 7AYUCh. F.4 - Prob. 8AYUCh. F.4 - Prob. 9AYUCh. F.4 - Prob. 10AYUCh. F.4 - Prob. 11AYUCh. F.4 - Prob. 12AYUCh. F.4 - Prob. 13AYUCh. F.4 - Prob. 14AYUCh. F.4 - Prob. 15AYUCh. F.4 - Prob. 16AYUCh. F.4 - Prob. 17AYUCh. F.4 - Prob. 18AYUCh. F.4 - Prob. 19AYUCh. F.4 - Prob. 20AYUCh. F.4 - Prob. 21AYUCh. F.4 - Prob. 22AYUCh. F.4 - Prob. 23AYUCh. F.4 - Prob. 24AYUCh. F.4 - Prob. 25AYUCh. F.4 - Prob. 26AYUCh. F.4 - Prob. 27AYUCh. F.4 - Prob. 28AYUCh. F.4 - Prob. 29AYUCh. F.4 - Prob. 30AYUCh. F.4 - Prob. 31AYUCh. F.4 - Prob. 32AYUCh. F.4 - Prob. 33AYUCh. F.4 - Prob. 34AYUCh. F.4 - Prob. 35AYUCh. F.4 - Prob. 36AYUCh. F.4 - Prob. 37AYUCh. F.4 - Prob. 38AYUCh. F.4 - Prob. 39AYUCh. F.4 - Prob. 40AYUCh. F.4 - Prob. 41AYUCh. F.4 - Prob. 42AYUCh. F.4 - Prob. 43AYUCh. F.4 - Prob. 44AYUCh. F.4 - Prob. 45AYUCh. F.4 - Prob. 46AYUCh. F.4 - In Problems 45–48, match each graph with the...Ch. F.4 - Prob. 48AYUCh. F.4 - Prob. 49AYUCh. F.4 - Prob. 50AYUCh. F.4 - Prob. 51AYUCh. F.4 - Prob. 52AYUCh. F.4 - Prob. 53AYUCh. F.4 - Prob. 54AYUCh. F.4 - Prob. 55AYUCh. F.4 - Prob. 56AYUCh. F.4 - Prob. 57AYUCh. F.4 - Prob. 58AYUCh. F.4 - Prob. 59AYUCh. F.4 - Prob. 60AYUCh. F.4 - Prob. 61AYUCh. F.4 - Prob. 62AYUCh. F.4 - Prob. 63AYUCh. F.4 - Prob. 64AYU
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