1 (1 point) Solve the problem. The profit for a product is given by p = 2000 + x2 - 105x, where x is the number of units produced and sold. Graphically find the x-intercepts of this function to find how many units will give break-even (that is return a profit of zero). Question 1 options: a) They will never break even. b) 25 units c) 25 or 80 units d) 80 units Save Question 2 (1 point) Solve the problem. Given the following revenue and cost functions, find the x-value that makes revenue a maximum. R(x) = 68x - 2x2; C(x) = 21x + 97 Question 2 options: a) 16 b) 17 c) 34 d) 18 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. Use the unrounded function to determine in what year the number of new cases among women will reach 20,000. Question 3 options: a) 2013 b) 2004 c) 2011 d) 2003 Save Question 4 (1 point) Solve the problem. If an amount of money, called the principal, P, is deposited into an account that earns interest at a rate r, compounded annually, then in two years that investment will grow to an amount A, given by the formula If a principal amount of $6000 grows to $7260.00 in two years, what is the interest rate? Question 4 options: a) 12% b) 8% c) 10% d) 11% Save Question 5 (1 point) Use the graph of the function on your calculator to estimate the x-intercepts. g(x) = -8x2 + 18x + 5 Question 5 options: a) x = -2.5, x = 0.25 b) x = -0.25, x = 2.5 c) x = 0.25, x = 2.5 d) x = 5, x = 18 Save Question 6 (1 point) Use factoring to solve the equation. 5x2 - 34x = 7 Question 6 options: a) b) - ,5 - ,7 c) -5, 7 d) - , -5 Save Question 7 (1 point) Use the quadratic formula to solve the equation. 5x2 - 45x + 100 = 0 Question 7 options: a) 4, 5 b) 5, 4, -5 c) -4, -5 d) 0, 4, 5 Save Question 8 (1 point) Use the square root method to solve the equation. y2 = 14 Question 8 options: a) b) c) 7 d) 196 Save Question 9 (1 point) Find the exact solutions to the quadratic equation in the complex numbers. x2 - 4x + 13 = 0 Question 9 options: a) 2 3i b) 5, -1 c) 4 6i d) -2 3i Save Question 10 (1 point) Determine if the graph of the function is concave up or concave down. y=- (x + 3)2 - 4 Question 10 options: a) Concave down b) Concave up Save Question 11 (1 point) Provide an appropriate response. If the points in the table lie on a parabola, write the equation whose graph is the parabola. Question 11 options: a) y = 4x2 + 32x - 61 b) y = 4(x + 4)2 + 3 c) y = 4(x - 4)2 + 3 d) y = 4x2 + 32x + 61 Save Question 12 (1 point) Write the equation of the quadratic function whose graph is a parabola containing the given points. Question 12 options: a) y = 3x2 + 3x - 2 b) y = -(x-5)2 + 5 c) y= + 3x - 1 d) y = x2 + 10x + 25