Precalculus: Graphical, Numerical, Algebraic 8th Edition solutions

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 14, solve for x. -75x + 25 = 200

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 14, solve for x. 400 - 50x = 150

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 14, solve for x. 3(1 - 2x) + 4(2x - 5) = 7

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 14, solve for x. 2(7x + 1) = 5(1 - 3x)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 58, solve for y. 2x - 5y = 21

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 58, solve for y. \(\frac{1}{3}x + \frac{1}{4}y = 2\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 58, solve for y. 2x + y = 17 + 2(x - 2y)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 58, solve for y. \(x^2 + y = 3x - 2y\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 9 and 10, simplify the fraction. \(\frac{9-5}{-2-(-8)}\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 9 and 10, simplify the fraction. \(\frac{-4-6}{-14-(-2)}\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1 and 2, estimate the slope of the line.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1 and 2, estimate the slope of the line.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 36, find the slope of the line through the pair of points. (-3, 5) and (4, 9)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 36, find the slope of the line through the pair of points. (-2, 1) and (5, -3)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 36, find the slope of the line through the pair of points. (-2, -5) and (-1, 3)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 36, find the slope of the line through the pair of points. (5, -3) and (-4, 12)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 710, find the value of x or y so that the line through the pair of points has the given slope. Points Slope (x, 3) and (5, 9) m = 2

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 710, find the value of x or y so that the line through the pair of points has the given slope. Points Slope (-2, 3) and (4, y) m = -3

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 710, find the value of x or y so that the line through the pair of points has the given slope. Points Slope (-3, -5) and (4, y) m = 3

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 710, find the value of x or y so that the line through the pair of points has the given slope. Points Slope (-8, -2) and (x, 2) m = 1/2

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1114, find a point-slope form equation for the line through the point with given slope. Point Slope (1, 4) m = 2

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1114, find a point-slope form equation for the line through the point with given slope. Point Slope (-4, 3) m = -2/3

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1114, find a point-slope form equation for the line through the point with given slope. Point Slope (5, -4) m = -2

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1114, find a point-slope form equation for the line through the point with given slope. Point Slope (-3, 4) m = 3

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1520, find a general form equation for the line through the pair of points. (-7, -2) and (1, 6)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1520, find a general form equation for the line through the pair of points. (-3, -8) and (4, -1)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1520, find a general form equation for the line through the pair of points. (1, -3) and (5, -3)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1520, find a general form equation for the line through the pair of points. (-1, -5) and (-4, -2)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1520, find a general form equation for the line through the pair of points. (-1, 2) and (2, 5)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1520, find a general form equation for the line through the pair of points. (4, -1) and (4, 5)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2126, find a slope-intercept form equation for the line. The line through (0, 5) with slope m = -3

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2126, find a slope-intercept form equation for the line. The line through (1, 2) and slope m = 1/2

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2126, find a slope-intercept form equation for the line. The line through the points (-4, 5) and (4, 3)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2126, find a slope-intercept form equation for the line. The line through the points (4, 2) and (-3, 1)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2126, find a slope-intercept form equation for the line. The line 2x + 5y = 12

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2126, find a slope-intercept form equation for the line. The line 7x - 12y = 96

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2730, graph the linear equation on a grapher. Choose a viewing window that shows the line intersecting both the x- and y-axes. 8x + y = 49

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2730, graph the linear equation on a grapher. Choose a viewing window that shows the line intersecting both the x- and y-axes. 2x + y = 35

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2730, graph the linear equation on a grapher. Choose a viewing window that shows the line intersecting both the x- and y-axes. 123x + 7y = 429

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2730, graph the linear equation on a grapher. Choose a viewing window that shows the line intersecting both the x- and y-axes. 2100x + 12y = 2540

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 31 and 32, the line contains the origin and the point in the upper right corner of the grapher screen. Writing to Learn: Which line shown here has the greater slope? Explain.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 31 and 32, the line contains the origin and the point in the upper right corner of the grapher screen. Writing to Learn: Which line shown here has the greater slope? Explain.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 3336, find the value of x and the value of y for which (x, 14) and (18, y) are points on the graph. y = 0.5x + 12

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 3336, find the value of x and the value of y for which (x, 14) and (18, y) are points on the graph. y = -2x + 18

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 3336, find the value of x and the value of y for which (x, 14) and (18, y) are points on the graph. 3x + 4y = 26

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 3336, find the value of x and the value of y for which (x, 14) and (18, y) are points on the graph. 3x - 2y = 14

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 3740, find the values for Ymin, Ymax, and Yscl that will make the graph of the line appear in the viewing window as shown here. y = 3x

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 3740, find the values for Ymin, Ymax, and Yscl that will make the graph of the line appear in the viewing window as shown here. y = 5x

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 3740, find the values for Ymin, Ymax, and Yscl that will make the graph of the line appear in the viewing window as shown here. \(y = \frac{2}{3}x\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 3740, find the values for Ymin, Ymax, and Yscl that will make the graph of the line appear in the viewing window as shown here. \(y = \frac{5}{3}x\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 4144, (a) find an equation for the line passing through the point and parallel to the given line, and (b) find an equation for the line passing through the point and perpendicular to the given line. Support your work graphically. Point Line

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 4144, (a) find an equation for the line passing through the point and parallel to the given line, and (b) find an equation for the line passing through the point and perpendicular to the given line. Support your work graphically. Point Line

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 4144, (a) find an equation for the line passing through the point and parallel to the given line, and (b) find an equation for the line passing through the point and perpendicular to the given line. Support your work graphically. Point Line

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 4144, (a) find an equation for the line passing through the point and parallel to the given line, and (b) find an equation for the line passing through the point and perpendicular to the given line. Support your work graphically. Point Line

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Real Estate Appreciation Bob Michaels purchased a house 8 years ago for $42,000. This year it was appraised at $67,500. (a) A linear equation V = mt + b, \(0\ \leq\ t\ \leq\ 15\), represents the value V of the house for 15 years after it was purchased. Determine m and b. (b) Graph the equat

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Investment Planning Mary Ellen plans to invest $18,000, putting part of the money x into a savings that pays 5% annually and the rest into an account that pays 8% annually. (a) What are the possible values of x in this situation? (b) If Mary Ellen invests x dollars at 5%, write an equation

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Navigation A commercial jet airplane climbs at takeoff with slope m = 3/8. How far in the horizontal direction will the airplane fly to reach an altitude of 12,000 ft above the take-off point?

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Grade of a Highway Interstate 70 west of Denver, Colorado, has a section posted as a 6% grade. This means that for a horizontal change of 100 ft there is a 6-ft vertical change. (a) Find the slope of this section of the highway. (b) On a highway with a 6% grade what is the horizonta

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Writing to Learn Building Specifications Asphalt shingles do not meet code specifications on a roof that has less than a 4-12 pitch. A 4-12 pitch means there are 4 ft of vertical change in 12 ft of horizontal change. A certain roof has slope m = 3/8. Could asphalt shingles be used on that roof? Ex

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Revisiting Example 8 Use the linear equation found in Example 8 to estimate Americans income in 2004, 2006, 2007 displayed in Figure P.30.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Americans Spending Americans personal consumption expenditures for several years from 1990 to 2007 in trillions of dollars are shown in the table. (Source: U.S. Bureau of Economic Analysis as reported in The World Almanac and Book of Facts 2009.) (a) Write a linear equation for America

Precalculus: Graphical, Numerical, Algebraic 8th Edition
U.S. Imports from Mexico The total y in billions of dollars of U.S. imports from Mexico for each year x from 2000 to 2007 is given in the table. (Source: U.S. Census Bureau as reported in The World Almanac and Book of Facts 2009.) (a) Use the pairs (2001, 131.3) and (2005, 170.1) to wr

Precalculus: Graphical, Numerical, Algebraic 8th Edition
The midyear world population in millions for some of the years from 1980 to 2008 is shown in Table P.7. (a) Let x = 0 represent 1980, x = 1 represent 1981, and so forth. Draw a scatter plot of the data. (b) Use the 1980 and 2008 data to write a linear equation for the population y in

Precalculus: Graphical, Numerical, Algebraic 8th Edition
U.S. Exports to Canada The total in billions of dollars of U.S. exports to Canada from 2000 to 2009 is given in Table P.8. (a) Let x = 0 represent 2000, x = 1 represent 1991, and so forth. Draw a scatter plot of the data. (b) Use the 2000 and 2007 data to write a linear equation fo

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 55 and 56, determine a so that the line segments AB and CD are parallel.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 55 and 56, determine a so that the line segments AB and CD are parallel.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 57 and 58, determine a and b so that figure ABCD is a parallelogram.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 57 and 58, determine a and b so that figure ABCD is a parallelogram.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Writing to Learn Perpendicular Lines (a) Is it possible for two lines with positive slopes to be perpendicular? Explain. (b) Is it possible for two lines with negative slopes to be perpendicular? Explain.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Group Activity Parallel and Perpendicular Lines (a) Assume that \(c\ \neq\ d\) and a and b are not both zero. Show that ax + by = c and ax + by = d are parallel lines. Explain Why the restrictions on a, b, c, and d are necessary. (b) Assume that a and b are not both zero. Show that ax + by =

Precalculus: Graphical, Numerical, Algebraic 8th Edition
True or False The slope of a vertical line is zero. Justify your answer.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
True or False The graph of any equation of the form ax + by = c, where a and b are not both zero, is always a line. Justify your answer.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 6366, you may use a graphing calculator to solve these problems. Multiple Choice Which of the following is an equation of the line through the point (-2, 3) with slope 4? (A) y - 3 = 4(x + 2) (B) y + 3 = 4(x - 2) (C) x - 3 = 4(y + 2)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 6366, you may use a graphing calculator to solve these problems. Multiple Choice Which of the following is an equation of the line with slope 3 and y-intercept -2? (A) y = 3x + 2 (B) y = 3x - 2 (C) y = -2x + 3

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 6366, you may use a graphing calculator to solve these problems. Multiple Choice Which of the following lines is perpendicular to the line y = -2x + 5? (A) y = 2x + 1 (B) \(y = -2x - \frac{1}{5}\) (C) \(y = -\frac{1}{2}x + \frac{1}{3}\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 6366, you may use a graphing calculator to solve these problems. Multiple Choice Which of the following is the slope of the line through the two points (-2, 1) and (1, -4)? (A) \(-\frac{3}{5}\) (B) \(\frac{3}{5}\) (C) \(-\frac{5}{3}\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Exploring the Graph of \(\frac{x}{a} + \frac{y}{b} = c\), \(a\ \neq\ 0,\ b\ \neq\ 0\) Let c = 1. (a) Draw the graph for a = 3, b = -2. (b) Draw the graph for a = -2, b = -3. (c) Draw the graph for a = 5, b = 3. (d) Use your graphs in (a), (b), (c) to conjecture what a and b repres

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Investigating Graphs of Linear Equations (a) Graph y = mx for m = -3, -2, -1, 1, 2, 3 in the window [-8, 8] by [-5, 5]. What do these graphs have in common? How are they different? (b) If m > 0, what do the graphs of y = mx and y = -mx have in common? How are they different? (c) Graph y =

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Connecting Algebra and Geometry Show that if the midpoints of consecutive sides of any quadrilateral (see figure) are connected, the result is a parallelogram.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Connecting Algebra and Geometry Consider the semicircle of radius 5 centered at (0, 0) as shown in the figure. Find an equation of the line tangent to the semicircle at the point (3, 4). (Hint: A line tangent to a circle is perpendicular to the radius at the point of tangency.)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Connecting Algebra and Geometry Show that in any triangle (see figure), the line segment joining the midpoints of two sides is parallel to the third side and is half as long.