In Exercises 11–14, solve the systems of equations by substitution.
11.
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- An important application of systems of equations arises in connection with supply and demand. As the price of a product increases, the demand for that product decreases. However, at higher prices, suppliers are willing to produce greater quantities of the product. Exercises 97–98 involve supply and demand. 97. A chain of electronics stores sells hand-held color televisions. The weekly demand and supply models are given as follows: Number sold Demand model per week N = -5p + 750 Price of television Number supplied to the chain per week N = 2.5p. 1apow hjddns a. How many hand-held color televisions can be sold and supplied at $120 per television? b. Find the price at which supply and demand are equal. At this price, how many televisions can be supplied and sold each week?arrow_forward10. What are the solutions to the system of equations graphed below? 7.92 |-9.75 10.25 -5.41.arrow_forwardFor Exercises 9–10, determine if the equation is linear or nonlinear. If the equation is linear, find the solution set. −2x = 8arrow_forward
- The equation in the form Ax + By = C (-6,3) and (0,-2)arrow_forwardExercises 67-74: Solve the linear equation with the x-intercept method. Check your answer. Approximate the solution to the nearest thousandth whenever appropriate. 67. 2x – 4 = 0 68. -1 – 69. 2x = -(3 – x) 70. 3x = -(x – 4) 71. –2(3 – 2x) = 4x – (1 – x) 72. x - 3(x – 4) =-(-3 – x) 73. 3 74. (x – V2) = 1.07.x – 6arrow_forwardFor Exercises 15–22, solve the system by using the addition method. (See Examples 3-4) 15. 2x + 3y = 11 16. 3x + y² = 21 17. x - xy = 20 18. 4xy + 3y² = -9 2 + 4y = 8 4x - 2y = -2 -2x2 + 3xy = -44 2xy + y = -5 21. x = 1- y 9x - 4y? = 36 19. 5x - 2y2 = 1 20. 6x + 5y = 38 7x - 3y = 9 22. 4x = 4 - y? 16y = 144 + 9x? 2x - 3y = -4arrow_forward
- 4 3 3 foxye*+ dydx -4e7- 10 € -10 0e6 Findarrow_forwardIn Exercises 47–50, determine the x-intercepts of the graph of each quadratic function. Then match the function with its graph, labeled (a)-(d). Each graph is shown in a [-10, 10, 1] by [-10, 10, 1] viewing rectangle. 47. у 3D х2 -бх + 8 48. y = x? – 2r – 8 49. y = x² + 6x + 8 50. y = x² + 2x – 8 а. b. C. d.arrow_forwardFor Exercises 13–18, solve the equation a. over the interval [0, 27). (See Example 1) b. over the set of real numbers. 14. 3V2 + 6cosx = 0 15. 5secx + 10 = 3 secx + 14 18. 5cotx + 2V3 = -2cotx - 5V3 13. 2sinx + 5 = 6 16. 3(2cscx - V3) = V3 17. 3 tanx + 1 = -2(2 + tanx)arrow_forward
- Correct and detailed answer will be Upvoted else downvoted. Thank you!arrow_forward24. Solve the system of equations.* y=-2x² 3x2 +y = 52 *More than one answer may be correct; check all that apply. O (4, – 8) 13 (2i, - 8) 13 ン V13 2. 13) O -21, 4) O (-2i, - 8) (-V13, – 8) □ (學,-号 ) V13 (2i, )arrow_forwardWhat equation is equivalent to?arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage