For Exercises 13–18, solve the equation and related inequalities. (See Examples 2–3.)
a.
b.
c.
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Beginning and Intermediate Algebra
- redit. PART I: SKILLS (3 points each) 1. Solve for x: 6–3(4+x) = -3(-2x+ 6) 2. Solve for x: - 2 = 10 3 m12 lab assignme..pof Mat hparrow_forwardSolve with details.arrow_forward15. Every year in Delaware there is a contest where people create cannons and catapults designed to launch pumpkins as far in the air as possible. The equation y = 10 + 95x- 16x- can be used to represent the height, y, of a launched pumpkin, where x is the time in seconds that the pumpkin has been in the air. What is the maximum height that the pumpkin reaches? How many seconds have passed when the pumpkin hits the ground? (Hint: If the pumpkin hits the ground, its height is 0 feet.) O The pumpkin's maximum height is 2.97 feet and it hits the ground after 6.04 seconds. O The pumpkin's maximum height is 151.02 feet and it hits the ground after 6.04 seconds. O The pumpkin's maximum height is 2.97 feet and it hits the ground after 151.02 seconds. O The pumpkin's maximum height is 151.02 feet and it hits the ground after 2.97 seconds.arrow_forward
- 2. Simon knows that at $30 per ticket, 500 tickets to a show will be sold. He also knows that for every $1 increase in price, 10 fewer tickets will be sold (see equation). Revenue = (price per ticket)(number of tickets sold) R(x)= (30+ x) (500 - 10x) R, represents Revenue from ticket sales, x represents number of $1 price increases (Hint: complete the square) Use the equation of the function above modelling revenue from ticket sales to determine the following: a) Ticket price that will maximize revenue b) The maximum revenuearrow_forwardryanisd.schoológ VHL Central A Classes Class Link akmarks ATTEMPT SCORE 0/1 01 Fill in the Blank Text 2x(3x + 5) + 3(3x + 5) = ax+ bx +c In the equation above, a, b, and c are constants. If the equation is true for all values of x, what is the value of b ? b-6 Support | Schoology Blog IP 11 MacBook Air 2+(3,arrow_forwardPls help4arrow_forward
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- Practice PLUS Exercises 65–68 describe quadratic equations. Match each description with the graph of the corresponding quadratic function. Each graph is shown in a [-10, 10, 1] by [–10, 10, 1] viewing rectangle. 65. A quadratic equation whose solution set contains imaginary numbers 66. A quadratic equation whose discriminant is 0 67. A quadratic equation whose solution set is {3 ± V2} 68. A quadratic equation whose solution set contains integers а. b. C. d. 69. When the sum of 6 and twice a positive number is subtracted from the square of the number, 0 results. Find the number. 70. When the sum of 1 and twice a negative number isarrow_forwardWhat is b-a-c?arrow_forwardA group of farmers collected data on the number of foxes and the number of rabbits seen on their properties per week. Ths scatter plot below shows the data they collected. Th farmers used the equation y = -3x + 100 to model the data collected. Based on the equation, which statement is true? A. Each additional fox is associated with 3 more rabbits. B. Each additional fox is associated with 3 fewer rabbits. C. Each additional fox is associated with 100 more rabbits. D. Each additional fox is associated with 100 fewer rabbits.arrow_forward
- Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt