For the following exercises, graph both straight lines (left-hand side being
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College Algebra By Openstax
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- Explain why it is necessary to reverse the inequality when solving 5x10 .arrow_forwardHarrison 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.arrow_forwardSolve x2+2x80 graphically and (b) write the solution in interval notation.arrow_forward
- 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)arrow_forwardManuel's wife sends him to the store to buy pickles and ice cream. Ice cream cost 5 dollars per pound and pickles costs 5 dollars per pound. Manuel has 50 dollars in his wallet.Let xx be the number of pounds of ice cream and yy be the number of pounds of pickles that Manuel purchases. State the inequality that represents his budget, and graph the solution that represents the possible combinations of xx and yy. Express your answer with the standard form ax+byax+by on the left side.The budget inequality isarrow_forwardTranslate the following statements into equations. Use as few variables as possible. You are buying a new printer and a new scanner for your computer, and you cannot spend over $150. The printer you want costs $80. Write an inequality that describes the most that you can spend on the scanner and still stay within your budget. The sum of 7 and three times a number b is at least 12. The difference of 22 and the quotient of a number m and 4 is 54. The sum of twice a number r and 3 is 11. A number q is at least 5 and less than 17.arrow_forward
- As a dog walker, Hannah can walk at most 15 dogs per day. She charges $10 per walk for small dogs and $18 per walk for large dogs. Hannah needs to earn at least $120 per day. Write TWO inequalities to model this situation. Let x be the number of small dogs she walks and y be the number of large dogs she walks.arrow_forwardAs a dog walker, Hannah can walk at most 20 dogs per day. She charges $11 per walk for small dogs and $19 per walk for large dogs. Hannah needs to earn at least $110 per day. Write two inequalities to model this situation. Let x be the number of small dogs Hannah walks and y be the number of large dogs Hannah walks.arrow_forwardMarco orders photo printers for Padgitt's Photo. He may order up to 50 printers. He buys both standard and high-speed printers at a cost of $81 and $240 each, respectively. He must buy more of the standard than the high-speed printer and has a $2500 limit on the total purchase price. Write the inequalities that describe the number of each printer that Marco can purchase. (Let the x refer to the number of standard speed printers and the y refer to the number of high speed printers.arrow_forward
- An international organization must decide how to spend the $2,200,000 they have been allotted for famine relief in a remote area.They expect to divide the money between buying rice at $38.50/sack and beans at $35/sack. The number, P, of people who would be fed if they buy x sacks of rice and y sacks of beans is given by P = 1.1x + y - What is the maximum number of people that can be fed, and how should the organization allocate its money? Round your answers to the nearest integer. P ху 108* max i is attained on buying sacks of beans. sacks of rice andarrow_forward1. Find all solutions to the inequality: 10+y>21 2. Select the equation(s) that represent direct variation. (Select all that apply) y=11x y=7x2 y=6x-8 y=3/4x 3.Complete the tables, and graph the corresponding ordered pairs. Draw the line defined by the points to represent all solutions to the equation. y=-2x+3 x=0 y=?arrow_forwardB. Graph the solutions of each linear inequality on a coordinate plane. 2.2x - ys4 1. y22 - 3x Find the intercepts: Find the intercepts: Graph: Graph:arrow_forward
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