Skip to main content

Bartleby Sitemap - Textbook Solutions

All Textbook Solutions for Intermediate Algebra

In the following exercises, graph each equation. 65. 4x+y=2 In the following exercises, graph each equation. 66. 5x+2y=10 In the following exercises, graph each equation. 67. y=1 In the following exercises, graph each equation. 68. x=3 Explain how you would choose three x-values to make a table to graph the line y=15x2 .What is the difference between the equations of a vertical and a horizontal line?Do you prefer to use the method of plotting points or the method using the intercepts to graph the equation 4x+y=4 ? Why?Do you prefer to use the method of plotting points or the method using the intercepts to graph the equation y=23x2 ? Why?Find the slope of the line shown.Find the slope of the line shown.Find the slope of the line: x=4 .Find the slope of the line: y=7 .Use the slope formula to find the slope of the line through the pair of points: (3,4) and (2,1) .Use the slope formula to find the slope of the line through the pair of points: (2,6) and (3,4) .Graph the line passing through the point (2,2) with the slope m=43 .Graph the line passing through the point (2,3) with the slope m=14 .Identify the slope and y-intercept from the equation of the line. (a) y=25x1 (b) x+4y=8 Identify the slope and y-intercept from the equation of the line. (a) y=43x+1 (b) 3x+2y=12 Graph the line of the equation y=x3 using its slope and y-intercept.Graph the line of the equation y=x1 using its slope and y-intercept.Determine the most convenient method to graph each line: (a) 3x+2y=12 (b) y=4 (c) y=15x4 (d) x=7 Determine the most convenient method to graph each line: (a) x=6 (b) y=34x+1 (c) y=8 (d) 4x3y=1 .The equation h=2s+50 is used to estimate a woman’s height in inches, h, based on her shoe size, s. (a) Estimate the height of a child who wears women’s shoe size 0. (b) Estimate the height of a woman with shoe size 8. (c) Interpret the slope and h-intercept of the equation. (d) Graph the equation.The equation T=14n+40 is used to estimate the temperature in degrees Fahrenheit, T, based on the number of cricket chirps, n, in one minute. (a) Estimate the temperature when there are no chirps. (b) Estimate the temperature when the number of chirps in one minute is 100. (c) Interpret the slope and T-intercept of the equation. (d) Graph the equation.Stella has a home business selling gourmet pizzas. The equation C=4p+25 models the relation between herweekly cost, C, in dollars and the number of pizzas, p, that she sells. (a) Find Stella’s cost for a week when she sells no pizzas. (b) Find the cost for a week when she sells 15 pizzas. (c) Interpret the slope and C-intercept of the equation. (d) Graph the equation.Loreen has a calligraphy business. The equation C=1.8n+35 models the relation between her weekly cost, C, in dollars and the number of wedding invitations, n, that she writes. (a) Find Loreen’s cost for a week when she writes no invitations. (b) Find the cost for a week when she writes 75 invitations. (c) Interpret the slope and C-intercept of the equation. (d) Graph the equation.Use slopes and y-intercepts to determine if the lines are parallel: (a) 2x+5y=5 and y=25x4 (b) y=12x1 and x+2y=2 .Use slopes and y-intercepts to determine if the lines are parallel: (a) 4x3y=6 and y=43x1 (b) y=34x3 and 3x4y=12 .Use slopes and y-intercepts to determine if the lines are parallel: (a) y=8 and y=6 (b) x=1 and x=5 .Use slopes and y-intercepts to determine if the lines are parallel: (a) y=1 and y=5 (b) x=8 and x=6 .Use slopes to determine if the lines are perpendicular: (a) y=3x+2 and x3y=4 (b) 5x+4y=1 and 4x+5y=3 .Use slopes to determine if the lines are perpendicular: (a) y=2x5 and x+2y=6 (b) 2x9y=3 and 9x2y=1 .In the following exercises, find the slope of each line shown. 73.In the following exercises, find the slope of each line shown. 74.In the following exercises, find the slope of each line shown. 75.In the following exercises, find the slope of each line shown. 76.In the following exercises, find the slope of each line shown. 77.In the following exercises, find the slope of each line shown. 78.In the following exercises, find the slope of each line shown. 79.In the following exercises, find the slope of each line shown. 80.In the following exercises, find the slope of each line. 81. y=3 In the following exercises, find the slope of each line. 82. y=2 In the following exercises, find the slope of each line. 83. x=5 In the following exercises, find the slope of each line. 84. x=4 In the following exercises, use the slope formula to find the slope of the line between each pair of points. 85. (2,5),(4,0)In the following exercises, use the slope formula to find the slope of the line between each pair of points. 86. (3,6),(8,0)In the following exercises, use the slope formula to find the slope of the line between each pair of points. 87. (3,3),(4,5)In the following exercises, use the slope formula to find the slope of the line between each pair of points. 88. (2,4),(3,1)In the following exercises, use the slope formula to find the slope of the line between each pair of points. 89. (1,2),(2,5)In the following exercises, use the slope formula to find the slope of the line between each pair of points. 90. (2,1),(6,5)In the following exercises, use the slope formula to find the slope of the line between each pair of points. 91. (4,5),(1,2)In the following exercises, use the slope formula to find the slope of the line between each pair of points. 92. (3,6),(2,2)In the following exercises, graph each line with the given point and slope. 93. (2,5);m=13 In the following exercises, graph each line with the given point and slope. 94. (1,4);m=12 In the following exercises, graph each line with the given point and slope. 95. (1,4);m=43 In the following exercises, graph each line with the given point and slope. 96. (3,5);m=32 In the following exercises, graph each line with the given point and slope. 97. y-intercept 3; m=25 In the following exercises, graph each line with the given point and slope. 98. x-intercept 2 ; m=34 In the following exercises, graph each line with the given point and slope. 99. (4,2);m=4 In the following exercises, graph each line with the given point and slope. 100. (1,5);m=3 In the following exercises, identify the slope and y-intercept of each line. 101. y=7x+3 In the following exercises, identify the slope and y-intercept of each line. 102. y=4x10 In the following exercises, identify the slope and y-intercept of each line. 103. 3x+y=5 In the following exercises, identify the slope and y-intercept of each line. 104. 4x+y=8 In the following exercises, identify the slope and y-intercept of each line. 105. 6x+4y=12 In the following exercises, identify the slope and y-intercept of each line. 106. 8x+3y=12 In the following exercises, identify the slope and y-intercept of each line. 107. 5x2y=6 In the following exercises, identify the slope and y-intercept of each line. 108. 7x3y=9 In the following exercises, graph the line of each equation using its slope and y-intercept. 109. y=3x1 In the following exercises, graph the line of each equation using its slope and y-intercept. 110. y=2x3 In the following exercises, graph the line of each equation using its slope and y-intercept. 111. y=x+3 In the following exercises, graph the line of each equation using its slope and y-intercept. 112. y=x4 In the following exercises, graph the line of each equation using its slope and y-intercept. 113. y=25x3 In the following exercises, graph the line of each equation using its slope and y-intercept. 114. y=35x+2 In the following exercises, graph the line of each equation using its slope and y-intercept. 115. 3x2y=4 In the following exercises, graph the line of each equation using its slope and y-intercept. 116. 3x4y=8 In the following exercises, determine the most convenient method to graph each line. 117. x=2 In the following exercises, determine the most convenient method to graph each line. 118. y=5 In the following exercises, determine the most convenient method to graph each line. 119. y=3x+4 In the following exercises, determine the most convenient method to graph each line. 120. xy=5 In the following exercises, determine the most convenient method to graph each line. 121. xy=1 In the following exercises, determine the most convenient method to graph each line. 122. y=23x1 In the following exercises, determine the most convenient method to graph each line. 123. 3x2y=12 In the following exercises, determine the most convenient method to graph each line. 124. 2x5y=10 The equation P=31+1.75w models the relation between the amount of Tuyet’s monthly water bill payment, P, in dollars, and the number of units of water, w, used. (a) Find Tuyet’s payment for a month when 0 units of water are used. (b) Find Tuyet’s payment for a month when 12 units of water are used. (c) Interpret the slope and P-intercept of the equation. (d) Graph the equation.The equation P=28+2.54w models the relation between the amount of R and y’s monthly water bill payment, P, in dollars, and the number of units of water, w, used. (a) Find the payment for a month when R and y used 0 units of water. (b) Find the payment for a month when R and y used 15 units of water. (c) Interpret the slope and P-intercept of the equation. (d) Graph the equation.Bruce drives his car for his job. The equation R=0.575+42 models the relation between the amount in dollars, R, that he is reimbursed and the number of miles, m, he drives in one day. (a) Find the amount Bruce is reimbursed on a day when he drives 0 miles. (b) Find the amount Bruce is reimbursed on a day when he drives 220 miles. (c) Interpret the slope and R-intercept of the equation. (d) Graph the equation.Janelle is planning to rent a car while on vacation. The equation C=0.32m+15 models the relation between the cost in dollars, C, per day and the number of miles, m, she drives in one day. (a) Find the cost if Janelle drives the car 0 miles one day. (b) Find the cost on a day when Janelle drives the car 400 miles. (c) Interpret the slope and C-intercept of the equation. (d) Graph the equation.Cherie works in retail and her weekly salary includes commission for the amount she sells. The equation S=400+0.15c models the relation between her weekly salary, S, in dollars and the amount of her sales, c, in dollars. (a) Find Cherie’s salary for a week when her sales were $0. (b) Find Cherie’s salary for a week when her sales were $3,600. (c) Interpret the slope and S-intercept of the equation. (d) Graph the equation.Patel’s weekly salary includes a base pay plus commission on his sales. The equation S=750+0.09c models the relation between his weekly salary, S, in dollars and the amount of his sales, c, in dollars. (a) Find Patel’s salary for a week when his sales were 0. (b) Find Patel’s salary for a week when his sales were 18,540. (c) Interpret the slope and S-intercept of the equation. (d) Graph the equation.Costa is planning a lunch banquet. The equation C=450+28g models the relation between the cost in dollars, C, of the banquet and the number of guests, g. (a) Find the cost if the number of guests is 40. (b) Find the cost if the number of guests is 80. (c) Interpret the slope and C-intercept of the equation. (d) Graph the equation.Margie is planning a dinner banquet. The equation C=750+42g models the relation between the cost in dollars, C of the banquet and the number of guests, g. (a) Find the cost if the number of guests is 50. (b) Find the cost if the number of guests is 100. (c) Interpret the slope and C-intercept of the equation. (d) Graph the equation.In the following exercises, use slopes and y-intercepts to determine if the lines are parallel, perpendicular, or neither. 133. y=34x3;3x4y=2 In the following exercises, use slopes and y-intercepts to determine if the lines are parallel, perpendicular, or neither. 134. 3x4y=2;y=34x3 In the following exercises, use slopes and y-intercepts to determine if the lines are parallel, perpendicular, or neither. 135. 2x4y=6;x2y=3 In the following exercises, use slopes and y-intercepts to determine if the lines are parallel, perpendicular, or neither. 136. 8x+6y=6;12x+9y=12 In the following exercises, use slopes and y-intercepts to determine if the lines are parallel, perpendicular, or neither. 137. x=5;x=6 In the following exercises, use slopes and y-intercepts to determine if the lines are parallel, perpendicular, or neither. 138. x=3;x=2 In the following exercises, use slopes and y-intercepts to determine if the lines are parallel, perpendicular, or neither. 139. 4x2y=5;3x+6y=8 In the following exercises, use slopes and y-intercepts to determine if the lines are parallel, perpendicular, or neither. 140. 8x2y=7;3x+12y=9 In the following exercises, use slopes and y-intercepts to determine if the lines are parallel, perpendicular, or neither. 141. 3x6y=12;6x3y=3 In the following exercises, use slopes and y-intercepts to determine if the lines are parallel, perpendicular, or neither. 142. 9x5y=4;5x+9y=1 In the following exercises, use slopes and y-intercepts to determine if the lines are parallel, perpendicular, or neither. 143. 7x4y=8;4x+7y=14 In the following exercises, use slopes and y-intercepts to determine if the lines are parallel, perpendicular, or neither. 144. 5x2y=11;5xy=7 In the following exercises, use slopes and y-intercepts to determine if the lines are parallel, perpendicular, or neither. 145. 3x2y=8;2x+3y=6 In the following exercises, use slopes and y-intercepts to determine if the lines are parallel, perpendicular, or neither. 146. 2x+3y=5;3x2y=7 In the following exercises, use slopes and y-intercepts to determine if the lines are parallel, perpendicular, or neither. 147. 3x2y=1;2x3y=2 In the following exercises, use slopes and y-intercepts to determine if the lines are parallel, perpendicular, or neither. 148. 2x+4y=3;6x+3y=2 In the following exercises, use slopes and y-intercepts to determine if the lines are parallel, perpendicular, or neither. 149. y=2;y=6 In the following exercises, use slopes and y-intercepts to determine if the lines are parallel, perpendicular, or neither. 150. y=1;y=2 How does the graph of a line with slope m=12 differ from the graph of a line with slope m=2 ?Why is the slope of a vertical line “undefined”?Explain how you can graph a line given a point and its slope.Explain in your own words how to decide which method to use to graph a line.Find an equation of a line with slope 25 and y-intercept (0,4) .Find an equation of a line with slope 1 and y-intercept (0,3) .Find the equation of the line shown in the graph.Find the equation of the line shown in the graph.Find the equation of a line with slope m=25 and containing the point (10,5) .Find the equation of a line with slope m=34 , and containing the point (4,7) .Find an equation of a horizontal line containing the point (3,8) .Find an equation of a horizontal line containing the point (1,4) .Find an equation of a line containing the points (2,4) and (1,3) .Find an equation of a line containing the points (4,3) and (1,5) .Find an equation of a line containing the points (5,1) and (5,4) .Find an equation of a line containing the points (4,4) and (4,3) .Find an equation of a line parallel to the line y=3x+1 that contains the point (4,2) . Write the equation in slopeintercept form.Find an equation of a line parallel to the line y=12x3 that contains the point (6,4) . Write the equation in slope-intercept form.Find an equation of a line perpendicular to the line y=3x+1 that contains the point (4,2) . Write the equation in slopeintercept form.Find an equation of a line perpendicular to the line y=12x3 that contains the point (6,4) .Find an equation of a line that is perpendicular to the line x=4 that contains the point (4,5) . Write the equation in slopeintercept form.Find an equation of a line that is perpendicular to the line x=2 that contains the point (2,1) . Write the equation in slopeintercept form.Find an equation of a line that is perpendicular to the line y=1 that contains the point (5,1) . Write the equation in slopeintercept form.Find an equation of a line that is perpendicular to the line y=5 that contains the point (4,5) .Write the equation in slopeintercept form.In the following exercises, find the equation of a line with given slope and y-intercept. Write the equation in slope-intercept form. 155. slope 3 and y-intercept (0,5)In the following exercises, find the equation of a line with given slope and y-intercept. Write the equation in slope-intercept form. 156. slope 8 and y-intercept (0,6)In the following exercises, find the equation of a line with given slope and y-intercept. Write the equation in slope-intercept form. 157. slope 3 and y-intercept (0,1)In the following exercises, find the equation of a line with given slope and y-intercept. Write the equation in slope-intercept form. 158. slope 1 and y-intercept (0,3)In the following exercises, find the equation of a line with given slope and y-intercept. Write the equation in slope-intercept form. 159. slope 15 and y-intercept (0,5)In the following exercises, find the equation of a line with given slope and y-intercept. Write the equation in slope-intercept form. 160. slope 34 and y-intercept (0,2)In the following exercises, find the equation of a line with given slope and y-intercept. Write the equation in slope-intercept form. 161. slope 0 and y-intercept (0,1)In the following exercises, find the equation of a line with given slope and y-intercept. Write the equation in slope-intercept form. 162. slope 4 and y-intercept (0,0)In the following exercises, find the equation of the line shown in each graph. Write the equation in slope-intercept form. 163.In the following exercises, find the equation of the line shown in each graph. Write the equation in slope-intercept form. 164.In the following exercises, find the equation of the line shown in each graph. Write the equation in slope-intercept form. 165.In the following exercises, find the equation of the line shown in each graph. Write the equation in slope-intercept form. 166.In the following exercises, find the equation of the line shown in each graph. Write the equation in slope-intercept form. 167.In the following exercises, find the equation of the line shown in each graph. Write the equation in slope-intercept form. 168.In the following exercises, find the equation of the line shown in each graph. Write the equation in slope-intercept form. 169.In the following exercises, find the equation of the line shown in each graph. Write the equation in slope-intercept form. 170.In the following exercises, find the equation of a line with given slope and containing the given point. Write the equation in slope intercept form. 171. m=58 , point (8,3)In the following exercises, find the equation of a line with given slope and containing the given point. Write the equation in slope intercept form. 172. m=56 , point (6,7)In the following exercises, find the equation of a line with given slope and containing the given point. Write the equation in slope intercept form. 173. m=35 , point (10,5)In the following exercises, find the equation of a line with given slope and containing the given point. Write the equation in slope intercept form. 174. m=34 , point (8,5)In the following exercises, find the equation of a line with given slope and containing the given point. Write the equation in slope intercept form. 175. m=32 , point (4,3)In the following exercises, find the equation of a line with given slope and containing the given point. Write the equation in slope intercept form. 176. m=52 , point (8,2)In the following exercises, find the equation of a line with given slope and containing the given point. Write the equation in slope intercept form. 177. m=7 , point (1,3)In the following exercises, find the equation of a line with given slope and containing the given point. Write the equation in slope intercept form. 178. m=4 , point (2,3)In the following exercises, find the equation of a line with given slope and containing the given point. Write the equation in slope intercept form. 179. Horizontal line containing (2,5)In the following exercises, find the equation of a line with given slope and containing the given point. Write the equation in slope intercept form. 180. Horizontal line containing (2,3)In the following exercises, find the equation of a line with given slope and containing the given point. Write the equation in slope intercept form. 181. Horizontal line containing (1,7)In the following exercises, find the equation of a line with given slope and containing the given point. Write the equation in slope intercept form. 182. Horizontal line containing (4,8)In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form. 183. (2,6) and (5,3)In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form. 184. (4,3) and (8,1)In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form. 185. (3,4) and (52) .In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form. 186. (5,3) and (4,6) .In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form. 187. (1,3) and (6,7) .In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form. 188. (2,8) and (4,6) .In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form. 189. (0,4) and (2,3) .In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form. 190. (0,2) and (5,3) .In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form. 191. (7,2) and (7,2) .In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form. 192. (2,1) and (2,4) .In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form. 193. (3,4) and (5,4) .In the following exercises, find the equation of a line containing the given points. Write the equation in slope-intercept form. 194. (6,3) and (1,3)In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope-intercept form. 195. line y=4x+2 , point (1,2)In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope-intercept form. 196. line y=3x1 , point (2,3) .In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope-intercept form. 197. line 2xy=6 , point (3,0) .In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope-intercept form. 198. line 2x+3y=6 , point (0,5) .In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope-intercept form. 199. line x=4 , point (3,5) .In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope-intercept form. 200. line x2=0 , point (1,2) .In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope-intercept form. 201. line y=5 , point (2,2) .In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope-intercept form. 202. line y+2=0 , point (3,3) .In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope-intercept form. 203. line y=2x+3 ,point (2,2)In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope-intercept form. 204. line y=x+5 , point (3,3)In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope-intercept form. 205. line y=34x2 , point (3,4)In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope-intercept form. 206. line y=23x4 , point (2,4)In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope-intercept form. 207. line 2x3y=8 , point (4,1)In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope-intercept form. 208. line 4x3y=5 , point (3,2)In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope-intercept form. 209. line 2x+5y=6 , point (0,0)In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope-intercept form. 210. line 4x+5y=3 , point (0,0)In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope-intercept form. 211. line x=3 , point (3,4)In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope-intercept form. 212. line x=5 , point (1,2)In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope-intercept form. 213. line x=7 , point (3,4)In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope-intercept form. 214. line x=1 , point (4,0)In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope-intercept form. 215. line y3=0 , point (2,4)In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope-intercept form. 216. line y6=0 , point (5,3)In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope-intercept form. 217. liney-axis, point (3,4)In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope-intercept form. 218. liney-axis, point (2,1)In the following exercises, find the equation of each line. Write the equation in slope-intercept form. 219. Containing the points (4,3) and (8,1)In the following exercises, find the equation of each line. Write the equation in slope-intercept form. 220. Containing the points (2,0) and (3,2)In the following exercises, find the equation of each line. Write the equation in slope-intercept form. 221. m=16 , containing point (6,1)In the following exercises, find the equation of each line. Write the equation in slope-intercept form. 222. m=56 , containing point (6,7)In the following exercises, find the equation of each line. Write the equation in slope-intercept form. 223. Parallel to the line 4x+3y=6 , containing point (0,3)In the following exercises, find the equation of each line. Write the equation in slope-intercept form. 224. Parallel to the line 2x+3y=6 , containing point (0,5)In the following exercises, find the equation of each line. Write the equation in slope-intercept form. 225. m=34 , containing point (8,5)In the following exercises, find the equation of each line. Write the equation in slope-intercept form. 226. m=35 , containing point (10,5)In the following exercises, find the equation of each line. Write the equation in slope-intercept form. 227. Perpendicular to the line y1=0 , point (2,6)In the following exercises, find the equation of each line. Write the equation in slope-intercept form. 228. Perpendicular to the line y-axis, point (6,2)In the following exercises, find the equation of each line. Write the equation in slope-intercept form. 229. Parallel to the line x=3 , containing point (2,1)In the following exercises, find the equation of each line. Write the equation in slope-intercept form. 230. Parallel to the line x=4 , containing point (3,5)In the following exercises, find the equation of each line. Write the equation in slope-intercept form. 231. Containing the points (3,4) and (2,5)In the following exercises, find the equation of each line. Write the equation in slope-intercept form. 232. Containing the points (5,3) and (4,6)In the following exercises, find the equation of each line. Write the equation in slope-intercept form. 233. Perpendicular to the line x2y=5 , point (2,2)In the following exercises, find the equation of each line. Write the equation in slope-intercept form. 234. Perpendicular to the line 4x+3y=1 , point (0,0)Why are all horizontal lines parallel?Explain in your own words why the slopes of two perpendicular lines must have opposite signs.Determine whether each ordered pair is a solution to the inequality yx3 : (a) (0,0) (b) (4,9) (c)â (2,1) (d) (5,3) (e) (5,1)Determine whether each ordered pair is a solution to the inequality yx+1 : (a) (0,0) (b) (8,6) (c) (2,1) (d) (3,4) (e) (1,4)Write the inequality shown by the graph with the boundary line y=2x+3 .Write the inequality shown by the graph with the boundary line y=12x4 .Write the inequality shown by the shaded region in the graph with the boundary line x4y=8 .Write the inequality shown by the shaded region in the graph with the boundary line 3xy=6 .Graph the linear inequality y52x4 .Graph the linear inequality y23x5 .Graph the linear inequality: 2x3y6 .Graph the linear inequality: 2xy3 .Graph the linear inequality: y3x .Graph the linear inequality: y2x .Graph the linear inequality: y5 .Graph the linear inequality: y1 .Hugh works two part time jobs. One at a grocery store that pays $10 an hour and the other is babysitting for $13 hour. Between the two jobs, Hugh wants to earn at least $260 a week. How many hours does Hugh need to work at each job to earn at least $260? (a) Let x be the number of hours he works at the grocery store and let y be the number of hours he works babysitting. Write an inequality that would model this situation. (b) Graph the inequality. (c) Find three ordered pairs (x, y) that would be solutions to the inequality. Then, explain what that means for Hugh.Veronica works two part time jobs in order to earn enough money to meet her obligations of at least $280 a week. Her job at the day spa pays $10 an hour and her administrative assistant job on campus pays $17.50 an hour. How many hours does Veronica need to work at each job to earn at least $280? (a) Let x be the number of hours she works at the day spa and let y be the number of hours she works as administrative assistant. Write an inequality that would model this situation. (b) Graph the inequality. (c) Find three ordered pairs (x, y) that would be solutions to the inequality. Then, explain what that means for Veronica In the following exercises, determine whether each ordered pair is a solution to the given inequality. 237. Determine whether each ordered pair is a solution to the inequality yx1 : (a) (0,1) (b) (4,1) (c) (4,2) (d) (3,0) (e) (2,3)In the following exercises, determine whether each ordered pair is a solution to the given inequality. 238. Determine whether each ordered pair is a solution to the inequality yx3 : (a) (0,0) (b) (2,1) (c) (1,5) (d) (6,3) (e) (1,0)In the following exercises, determine whether each ordered pair is a solution to the given inequality. 239. Determine whether each ordered pair is a solution to the inequality y3x+2 : (a) (0,3) (b) (3,2) (c) (2,0) (d) (0,0) (e) (1,4)In the following exercises, determine whether each ordered pair is a solution to the given inequality. 240. Determine whether each ordered pair is a solution to the inequality y2x+5 : (a) (3,0) (b) (1,6) (c) (6,2) (d) (0,1) (e) (5,4)In the following exercises, determine whether each ordered pair is a solution to the given inequality. 241. Determine whether each ordered pair is a solution to the inequality 3x4y4 : (a) (5,1) (b) (2,6) (c) (3,2) (d) (10,5) (e) (0,0)In the following exercises, determine whether each ordered pair is a solution to the given inequality. 242. Determine whether each ordered pair is a solution to the inequality 2x+3y2 : (a) (1,1) (b) (4,3) (c) (0,0) (d) (8,12) (e) (3,0)In the following exercises, write the inequality shown by the shaded region. 243. Write the inequality shown by the graph with the boundary line y=3x4 .In the following exercises, write the inequality shown by the shaded region. 244. Write the inequality shown by the graph with the boundary line y=2x4 .In the following exercises, write the inequality shown by the shaded region. 245. Write the inequality shown by the graph with the boundary line y=12x+1 .In the following exercises, write the inequality shown by the shaded region. 246. Write the inequality shown by the graph with the boundary line y=13x2 .In the following exercises, write the inequality shown by the shaded region. 247. Write the inequality shown by the shaded region in the graph with the boundary line x+y=5 .In the following exercises, write the inequality shown by the shaded region. 248. Write the inequality shown by the shaded region in the graph with the boundary line x+y=3 .In the following exercises, write the inequality shown by the shaded region. 249. Write the inequality shown by the shaded region in the graph with the boundary line 3xy=6 .In the following exercises, write the inequality shown by the shaded region. 250. Write the inequality shown by the shaded region in the graph with the boundary line 2xy=4 .In the following exercises, graph each linear inequality. 251. Graph the linear inequality: y23x1 .In the following exercises, graph each linear inequality. 252. Graph the linear inequality: y35x+2 .In the following exercises, graph each linear inequality. 253. Graph the linear inequality: y12x+4 .In the following exercises, graph each linear inequality. 254. Graph the linear inequality: y13x2 .In the following exercises, graph each linear inequality. 255. Graph the linear inequality: xy3 .In the following exercises, graph each linear inequality. 256. Graph the linear inequality: xy2 .In the following exercises, graph each linear inequality. 257. Graph the linear inequality: 4x+y4 .In the following exercises, graph each linear inequality. 258. Graph the linear inequality: x+5y5 .In the following exercises, graph each linear inequality. 259. Graph the linear inequality: 3x+2y6 .In the following exercises, graph each linear inequality. 260. Graph the linear inequality: 4x+2y8 .In the following exercises, graph each linear inequality. 261. Graph the linear inequality: y4x .In the following exercises, graph each linear inequality. 262. Graph the linear inequality: y3x .In the following exercises, graph each linear inequality. 263. Graph the linear inequality: y10 .In the following exercises, graph each linear inequality. 264. Graph the linear inequality: y2 .In the following exercises, graph each linear inequality. 265. Graph the linear inequality: x5 .In the following exercises, graph each linear inequality. 266. Graph the linear inequality: x0 .In the following exercises, graph each linear inequality. 267. Graph the linear inequality: xy4 .In the following exercises, graph each linear inequality. 268. Graph the linear inequality: xy3 .In the following exercises, graph each linear inequality. 269. Graph the linear inequality: y32x .In the following exercises, graph each linear inequality. 270. Graph the linear inequality: y54x .In the following exercises, graph each linear inequality. 271. Graph the linear inequality: y2x+1 .In the following exercises, graph each linear inequality. 272. Graph the linear inequality: y3x4 .In the following exercises, graph each linear inequality. 273. Graph the linear inequality: 2x+y4 .In the following exercises, graph each linear inequality. 274. Graph the linear inequality: x+2y2 .In the following exercises, graph each linear inequality. 275. Graph the linear inequality: 2x5y10 .In the following exercises, graph each linear inequality. 276. Graph the linear inequality: 4x3y12 .Harrison works two part time jobs. One at a gas station that pays $11 an hour and the other is IT troubleshooting for $16.50 an hour. Between the two jobs, Harrison wants to earn at least $330 a week. How many hours does Harrison need to work at each job to earn at least $330? (a) Let x be the number of hours he works at the gas station and let y be the number of (hours he works troubleshooting. Write an inequality that would model this situation. (b) Graph the inequality. (c) Find three ordered pairs (x, y) that would be solutions to the inequality. Then, explain what that means for Harrison.Elena needs to earn at least $450 a week during her summer break to pay for college. She works two jobs. One as a swimming instructor that pays $9 an hour and the other as an intern in a genetics lab for $22.50 per hour. How many hours does Elena need to work at each job to earn at least $450 per week? (a) Let x be the number of hours she works teaching swimming and let y be the number of hours she works as an intern. Write an inequality that would model this situation. (b) Graph the inequality. (c) Find three ordered pairs (x, y) that would be solutions to the inequality. Then, explain what that means for Elena.The doctor tells Laura she needs to exercise enough to burn 500 calories each day. She prefers to either run or bike and burns 15 calories per minute while running and 10 calories a minute while biking. (a) If x is the number of minutes that Laura runs and y is the number minutes she bikes, find the inequality that models the situation. (b) Graph the inequality. (c) List three solutions to the inequality. What optionsdo the solutions provide Laura?Armando’s workouts consist of kickboxing and swimming. While kickboxing, he burns 10 calories per minute and he burns 7 calories a minute while swimming. He wants to burn 600 calories each day. (a) If x is the number of minutes that Armando will kickbox and y is the number minutes he will swim, find the inequality that will help Armando create a workout for today. (b) Graph the inequality. (c) List three solutions to the inequality. What options do the solutions provide Armando?Lester thinks that the solution of any inequality with a > sign is the region above the line and the solution of any inequality with a < sign is the region below the line. Is Lester correct? Explain why or why not.Explain why, in some graphs of linear inequalities, the boundary line is solid but in other graphs it is dashed.For the relation {(1,1),(2,8),(3,27),(4,64),(5,125)} : (a) Find the domain of the relation. (b) Find the range of the relation.For the relation {(1,3),(2,6),(3,9),(4,12),(5,15)} : (a) Find the domain of the relation. (b) Find the range of the relation.Use the mapping of the relation shown to (a) list the ordered pairs of the relation (b) find the domain of the relation (c) find the range of the relation.Use the mapping of the relation shown to (a) list the ordered pairs of the relation (b) find the domain of the relation (c) find the range of the relation.Use the graph of the relation to (a) list the ordered pairs of the relation (b) find the domain of the relation (c) find the range of the relation.Use the graph of the relation to (a) list the ordered pairs of the relation (b) find the domain of the relation (c) find the range of the relation.Use the set of ordered pairs to (i) determine whether the relation is a function (ii) find the domain of the relation (iii) find the range of the function. (a) {(3,6),(2,4),(1,2),(0,0),(1,2),(2,4),(3,6)} (b) {(8,4),(4,2),(2,1),(0,0),(2,1),(4,2),(8,4)}Use the set of ordered pairs to (i) determine whether the relation is a function (ii) find the domain of the relation (iii) find the range of the relation. (a) {(27,3),(8,2),(1,1),(0,0),(1,1),(8,2),(27,3)} (b) {(7,3),(5,4),(8,0),(0,0),(6,4),(2,2),(1,3)}Use the mapping to (a) determine whether the relation is a function (b) find the domain of the relation (c) find the range of the relation.Use the mapping to (a) determine whether the relation is a function (b) find the domain of the relation (c) find the range of the relation.Determine whether each equation is a function. (a) 4x+y=3 (b) x+y2=1 (c) yx2=2 Determine whether each equation is a function. (a) x+y2=4 (b) y=x27 (c) y=5x4 For the function f(x)=3x22x+1 , evaluate the function. (a) f(3) (b) f(1) (c) f(t)For the function f(x)=2x2+4x3 , evaluate the function. (a)f(2) (b)f(3) (c)f(h)For the function g(x)=4x7 , evaluate the function. (a) g(m2) (b) g(x3) (c) g(x)g(3)For the function h(x)=2x+1 , evaluate the function. (a) h(k2) (b) h(x+1) (c) h(x)+h(1)The number of unread emails in Bryan’s account is 100. This number grows by 15 unread emails a day. The function N(t)=100+15t represents the relation between the number of emails, N, and the time, t, measured in days. (a) Determine the independent and dependent variable. (b) Find N(7) . Explain what this result means.The number of unread emails in Anthony’s account is 110. This number grows by 25 unread emails a day. The function N(t)=110+25t represents the relation between the number of emails, N, and the time, t, measured in days. (a) Determine the independent and dependent variable. (b) Find N(14) . Explain what this result means.In the following exercises, for each relation (a) find the domain of the relation (b) find the range of the relation. 283. {(1,4),(2,8),(3,12),(4,16),(5,20)}In the following exercises, for each relation (a) find the domain of the relation (b) find the range of the relation. 284. {(1,2),(2,4),(3,6),(4,8),(5,10)}In the following exercises, for each relation (a) find the domain of the relation (b) find the range of the relation. 285. {(1,7),(5,3),(7,9),(2,3),(2,8)}In the following exercises, for each relation (a) find the domain of the relation (b) find the range of the relation. 286. {(11,3),(2,7),(4,8),(4,17),(6,9)}

Page: [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25]