{"id":371,"date":"2015-10-26T17:31:49","date_gmt":"2015-10-26T17:31:49","guid":{"rendered":"https:\/\/courses.candelalearning.com\/collegealgebra1xmaster\/?post_type=chapter&p=371"},"modified":"2015-11-12T18:38:00","modified_gmt":"2015-11-12T18:38:00","slug":"solutions-to-selected-exercises","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/ivytech-collegealgebra\/chapter\/solutions-to-selected-exercises\/","title":{"raw":"Solutions","rendered":"Solutions"},"content":{"raw":"

Solutions to Try Its<\/h2>\r\n1.\u00a0[latex]x=-5[\/latex]\r\n\r\n2.\u00a0[latex]x=-3[\/latex]\r\n\r\n3.\u00a0[latex]x=\\frac{10}{3}[\/latex]\r\n\r\n4.\u00a0[latex]x=1[\/latex]\r\n\r\n5.\u00a0[latex]x=-\\frac{7}{17}[\/latex]. Excluded values are [latex]x=-\\frac{1}{2}[\/latex] and [latex]x=-\\frac{1}{3}[\/latex].\r\n\r\n6.\u00a0[latex]x=\\frac{1}{3}[\/latex]\r\n\r\n7.\u00a0[latex]m=-\\frac{2}{3}[\/latex]\r\n\r\n8.\u00a0[latex]y=4x - 3[\/latex]\r\n\r\n9.\u00a0[latex]x+3y=2[\/latex]\r\n\r\n10.\u00a0Horizontal line: [latex]y=2[\/latex]\r\n\r\n11.\u00a0Parallel lines: equations are written in slope-intercept form.\r\n\"Coordinate\r\n\r\n12.\u00a0[latex]y=5x+3[\/latex]\r\n

Solutions to Odd-Numbered Exercises<\/h2>\r\n1.\u00a0It means they have the same slope.\r\n\r\n3.\u00a0The exponent of the [latex]x[\/latex] variable is 1. It is called a first-degree equation.\r\n\r\n5.\u00a0If we insert either value into the equation, they make an expression in the equation undefined (zero in the denominator).\r\n\r\n7.\u00a0[latex]x=2[\/latex]\r\n\r\n9.\u00a0[latex]x=\\frac{2}{7}[\/latex]\r\n\r\n11.\u00a0[latex]x=6[\/latex]\r\n\r\n13.\u00a0[latex]x=3[\/latex]\r\n\r\n15.\u00a0[latex]x=-14[\/latex]\r\n\r\n17.\u00a0[latex]x\\ne -4[\/latex]; [latex]x=-3[\/latex]\r\n\r\n19.\u00a0[latex]x\\ne 1[\/latex]; when we solve this we get [latex]x=1[\/latex], which is excluded, therefore NO solution\r\n\r\n21.\u00a0[latex]x\\ne 0[\/latex]; [latex]x=\\frac{-5}{2}[\/latex]\r\n\r\n23.\u00a0[latex]y=\\frac{-4}{5}x+\\frac{14}{5}[\/latex]\r\n\r\n25.\u00a0[latex]y=\\frac{-3}{4}x+2[\/latex]\r\n\r\n27.\u00a0[latex]y=\\frac{1}{2}x+\\frac{5}{2}[\/latex]\r\n\r\n29.\u00a0[latex]y=-3x - 5[\/latex]\r\n\r\n31.\u00a0[latex]y=7[\/latex]\r\n\r\n33.\u00a0[latex]y=-4[\/latex]\r\n\r\n35.\u00a0[latex]8x+5y=7[\/latex]\r\n\r\n37.\u00a0Parallel\r\n\"Coordinate\r\n\r\n39.\u00a0Perpendicular\r\n\"Coordinate\r\n\r\n41.\u00a0[latex]m=\\frac{-9}{7}[\/latex]\r\n\r\n43.\u00a0[latex]m=\\frac{3}{2}[\/latex]\r\n\r\n45.\u00a0[latex]{m}_{1}=\\frac{-1}{3},\\text{ }{m}_{2}=3;\\text{ }\\text{Perpendicular}[\/latex]\r\n\r\n47.\u00a0[latex]y=0.245x - 45.662[\/latex]. Answers may vary. [latex]{y}_{\\text{min}}=-50,\\text{ }{y}_{\\text{max}}=-40[\/latex]\r\n\r\n49.\u00a0[latex]y=-2.333x+6.667[\/latex]. Answers may vary. [latex]{y}_{\\mathrm{min}}=-10, {y}_{\\mathrm{max}}=10[\/latex]\r\n\r\n51.\u00a0[latex]y=\\frac{-A}{B}x+\\frac{C}{B}[\/latex]\r\n\r\n53.\u00a0Yes, they are perpendicular.\r\n
[latex]\\begin{array}{l}\\text{The slope for }\\left(-1,1\\right)\\text{ to }\\left(0,4\\right)\\text{ is }3.\\\\ \\text{The slope for }\\left(-1,1\\right)\\text{ to }\\left(2,0\\right)\\text{ is }\\frac{-1}{3}.\\\\ \\text{The slope for }\\left(2,0\\right)\\text{ to }\\left(3,3\\right)\\text{ is }3.\\\\ \\text{The slope for }\\left(0,4\\right)\\text{ to }\\left(3,3\\right)\\text{ is }\\frac{-1}{3}\\end{array}[\/latex].<\/div>\r\n55.\u00a030 ft\r\n\r\n57.\u00a0$57.50\r\n\r\n59.\u00a0220 mi","rendered":"

Solutions to Try Its<\/h2>\n

1.\u00a0[latex]x=-5[\/latex]<\/p>\n

2.\u00a0[latex]x=-3[\/latex]<\/p>\n

3.\u00a0[latex]x=\\frac{10}{3}[\/latex]<\/p>\n

4.\u00a0[latex]x=1[\/latex]<\/p>\n

5.\u00a0[latex]x=-\\frac{7}{17}[\/latex]. Excluded values are [latex]x=-\\frac{1}{2}[\/latex] and [latex]x=-\\frac{1}{3}[\/latex].<\/p>\n

6.\u00a0[latex]x=\\frac{1}{3}[\/latex]<\/p>\n

7.\u00a0[latex]m=-\\frac{2}{3}[\/latex]<\/p>\n

8.\u00a0[latex]y=4x - 3[\/latex]<\/p>\n

9.\u00a0[latex]x+3y=2[\/latex]<\/p>\n

10.\u00a0Horizontal line: [latex]y=2[\/latex]<\/p>\n

11.\u00a0Parallel lines: equations are written in slope-intercept form.
\n\"Coordinate<\/p>\n

12.\u00a0[latex]y=5x+3[\/latex]<\/p>\n

Solutions to Odd-Numbered Exercises<\/h2>\n

1.\u00a0It means they have the same slope.<\/p>\n

3.\u00a0The exponent of the [latex]x[\/latex] variable is 1. It is called a first-degree equation.<\/p>\n

5.\u00a0If we insert either value into the equation, they make an expression in the equation undefined (zero in the denominator).<\/p>\n

7.\u00a0[latex]x=2[\/latex]<\/p>\n

9.\u00a0[latex]x=\\frac{2}{7}[\/latex]<\/p>\n

11.\u00a0[latex]x=6[\/latex]<\/p>\n

13.\u00a0[latex]x=3[\/latex]<\/p>\n

15.\u00a0[latex]x=-14[\/latex]<\/p>\n

17.\u00a0[latex]x\\ne -4[\/latex]; [latex]x=-3[\/latex]<\/p>\n

19.\u00a0[latex]x\\ne 1[\/latex]; when we solve this we get [latex]x=1[\/latex], which is excluded, therefore NO solution<\/p>\n

21.\u00a0[latex]x\\ne 0[\/latex]; [latex]x=\\frac{-5}{2}[\/latex]<\/p>\n

23.\u00a0[latex]y=\\frac{-4}{5}x+\\frac{14}{5}[\/latex]<\/p>\n

25.\u00a0[latex]y=\\frac{-3}{4}x+2[\/latex]<\/p>\n

27.\u00a0[latex]y=\\frac{1}{2}x+\\frac{5}{2}[\/latex]<\/p>\n

29.\u00a0[latex]y=-3x - 5[\/latex]<\/p>\n

31.\u00a0[latex]y=7[\/latex]<\/p>\n

33.\u00a0[latex]y=-4[\/latex]<\/p>\n

35.\u00a0[latex]8x+5y=7[\/latex]<\/p>\n

37.\u00a0Parallel
\n\"Coordinate<\/p>\n

39.\u00a0Perpendicular
\n\"Coordinate<\/p>\n

41.\u00a0[latex]m=\\frac{-9}{7}[\/latex]<\/p>\n

43.\u00a0[latex]m=\\frac{3}{2}[\/latex]<\/p>\n

45.\u00a0[latex]{m}_{1}=\\frac{-1}{3},\\text{ }{m}_{2}=3;\\text{ }\\text{Perpendicular}[\/latex]<\/p>\n

47.\u00a0[latex]y=0.245x - 45.662[\/latex]. Answers may vary. [latex]{y}_{\\text{min}}=-50,\\text{ }{y}_{\\text{max}}=-40[\/latex]<\/p>\n

49.\u00a0[latex]y=-2.333x+6.667[\/latex]. Answers may vary. [latex]{y}_{\\mathrm{min}}=-10, {y}_{\\mathrm{max}}=10[\/latex]<\/p>\n

51.\u00a0[latex]y=\\frac{-A}{B}x+\\frac{C}{B}[\/latex]<\/p>\n

53.\u00a0Yes, they are perpendicular.<\/p>\n

[latex]\\begin{array}{l}\\text{The slope for }\\left(-1,1\\right)\\text{ to }\\left(0,4\\right)\\text{ is }3.\\\\ \\text{The slope for }\\left(-1,1\\right)\\text{ to }\\left(2,0\\right)\\text{ is }\\frac{-1}{3}.\\\\ \\text{The slope for }\\left(2,0\\right)\\text{ to }\\left(3,3\\right)\\text{ is }3.\\\\ \\text{The slope for }\\left(0,4\\right)\\text{ to }\\left(3,3\\right)\\text{ is }\\frac{-1}{3}\\end{array}[\/latex].<\/div>\n

55.\u00a030 ft<\/p>\n

57.\u00a0$57.50<\/p>\n

59.\u00a0220 mi<\/p>\n\n\t\t\t

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Candela Citations<\/h3>\n\t\t\t\t\t
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