Algebra 2

the demand for a new video game is given by the function p(x)= -x^2 + 5x +75. Correspondingly, the supply function for the same game is given by p(x) = 7x-9, where p represents the price per video in dollars and x represents the number of video games sold in thousands of games. Determine the equilibrium price (where demand equal supply) and the number of video games sold to achieve equilibrium. Solve graphically and algebraically. Use a scale where each box represents 10 units on the y-axis, 1 unit on the x-axis.

  1. 👍 0
  2. 👎 0
  3. 👁 64
  1. 7x-9 = -x^2+5x+75

    x^2 + 2 x - 84 = 0

    x = [-2 +/- sqrt(4+336) ] /2
    = -1 +/- 9.22
    = 8.22

    1. 👍 0
    2. 👎 0
    posted by Damon
  2. I'm guessing you go to John Jay...

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Steven goes to a game store. He purchases a new game system for $120. He purchased the game console for $82 and 2 used video games that were equally priced. How much did each of the video game cost? Show all of your work. Please

    asked by Jassy on January 2, 2018
  2. math

    The demand for the video game is modeled by the logistic curve, where q(t) is the total number of units sold t months after its introduction. q(t)= 10000/(1+0.5 e**(-0.4t)) (a) Use technology to estimate q'(4) to the nearest

    asked by Beth on October 14, 2011
  3. Math

    The original price of a video game is $32. Prince buys the video game when it is on sale for 30% off the regular price. If the sales tax is 10%, how much will Prince pay for the video game?

    asked by Sue Dawson on November 29, 2015
  4. math

    Peter played his favorite video game for 10 hours last week. Today, Peter's parents restricted him to 5 additional hours each week for the next 8 weeks. Create the function, f(x), that models Peter's total video game time? Is it

    asked by Brooke on March 3, 2017
  5. social studies thinking works

    When several stores in the same neighborhood sell the same video game system, what will likely happen? A. The price in the video game will increase B.the cost of production for video games will increase C.the price of video games

    asked by Abby a.k.a ANGEL on March 7, 2017
  6. math

    Ahmed earns $1.50 for every video game he sells. When he sells one carton of 30 video game, he earns an additional $10. What is the minimum number of video games he has to sell in order to earn $450?

    asked by Sharon on August 6, 2014
  7. Math

    A video game that originally costs $68 is on sale at a 15% discount. What is your final cost of the video game If there is a 5% sales tax?

    asked by Mason on February 21, 2015
  8. math

    Jesse rents 2 movies and 4 video games for a total of $18.70. At the same time, Dan rents 3 movies and 2 video games for a total of $15.25. How much does their friend Sabrina need to rent a combination of one game and one movie

    asked by B8 on January 12, 2014
  9. Math

    If it costs $75 to buy 3 video games, how much money will Jordan need if he wants to buy 12 video games? $75.00/3 video games=$25.00 for 1 video game $25.00 x 12 video games=$300.00 for 12 video games Can you please double check

    asked by Matt on October 4, 2016
  10. Math

    Hello! I know the answer to this word problem; however, I want to know HOW to solve it. Any help is much appreciated! Q: A store sells used and new video games. New video games cost more than used video games. All video games cost

    asked by Celia P. on February 28, 2019

More Similar Questions