1 (1 point) Solve the problem. At Allied Electronics, production has begun on the X-15 Computer Chip. The total revenue function is given by and the total cost function is given by , where x represents the number of boxes of computer chips produced. The total profit function, P(x), is such that . Find P(x). Question 1 options: a) P(x) = 0.3x2 + 36x - 36 b) P(x) = -0.3x2 + 47x - 12 c) P(x) = 0.3x2 + 47x - 24 d) P(x) = -0.3x2 + 36x + 12 Save Question 2 (1 point) Solve the problem. If a ball is thrown upward at 96 feet per second from the top of a building that is 180 feet high, the height of the ball can be modeled by feet, where t is the number of seconds after the ball is thrown. What is the ball's maximum height? Question 2 options: a) 288 ft b) 180 ft c) 612 ft d) 324 ft Save Question 3 (1 point) Solve the problem. The table shows the number of new cases of a certain disease among women in six consecutive years. Data are in thousands rounded to the nearest hundred. Year New Cases (thousands) 2005 3.0 2006 3.4 2007 4.6 2008 5.4 2009 6.0 2010 16.1 Let x = 1 correspond to 2005 and let y be the number of new cases (in thousands) among women in year x. Find a quadratic function to model the data. Round to three decimal places if necessary. Question 3 options: a) y = 6.69x2 - 3.645x + 0.823 b) y = 0.823x2 - 3.645x + 6.69 c) y = 0.623x2 - 5.645x + 8.69 d) y = 0.945x2 - 5.212x + 8.921 Save Question 4 (1 point) Solve the problem. The cost C of producing t units is given by C(t) = 5t2 + 8t, and the revenue R generated from selling t units is given by For what values of t will there be a profit? Question 4 options: a) There will be a profit when 0 units are sold. b) There will be a profit when more than 8 units are sold c) There will be a profit when more than 9 units are sold. d) There will be a profit when more than 7 units are sold. Save Question 5 (1 point) Use the graph of the function on your calculator to estimate the x-intercepts. g(x) = -2x2 - 3x + 5 Question 5 options: a) x = -1, x = 2.5 b) x = -2.5, x = 1 c) x = -5, x = 2 d) x = -3, x = 5 Save Question 6 (1 point) Use factoring to solve the equation. 2k2 - 7k - 4 = 0 Question 6 options: a) - ,2 b) -2, 4 c) d) - ,4 ,- Save Question 7 (1 point) Use the quadratic formula to solve the equation. 3x2 + 8x = - 2 Question 7 options: a) b) c) d) Save Question 8 (1 point) Use the square root method to solve the equation. x2 + 2 = 198 Question 8 options: a) 13 b) 14 c) 14 d) 99 Save Question 9 (1 point) Find the exact solutions to the quadratic equation in the complex numbers. 3x2 + 33 = 0 Question 9 options: a) 16.5 b) i c) 11i d) Save Question 10 (1 point) Determine if the vertex of the graph is a maximum point or a minimum point. f(x) = 4x2 + 2x - 6 Question 10 options: a) Maximum b) Minimum Save Question 11 (1 point) Provide an appropriate response. Write the equation of the quadratic function whose graph is shown. Question 11 options: a) y = (x + 5)2 - 5 b) y = (x - 5)2 - 5 c) y = -(x - 5)2 - 5 d) y = -(x - 5)2 + 5 Save Question 12 (1 point) Find a quadratic function that best fits the data. Give answers to the nearest hundredth. Question 12 options: a) y = 0.29 - 6.14x + 12 b) y = 0.83x2 + 1.68x + 12 c) y = -x2 + 12 d) y = -0.83x2 + 1.68x + 12