Solving Quadratic Equations — Cumulative exam Answers

Determine the equation of the line for the given information: Two points on the line are (0, 4) and (7, 18). Use the points to first determine the slope and y-intercept. Then write the equation of the line. a. b. c. d. Please select the best answer from the choices provided

Use a graphing calculator to sketch the graph of the quadratic equation, and then state the domain and range. a. D: all real numbers R: c. D: all real numbers R: b. D: all real numbers R: d. D: all real numbers R: Please select the best answer from the choices provided

What is the theoretical probability of the event that a family with two children has two boys? Make a tree diagram to help solve the problem. a. b. c. d. Please select the best answer from the choices provided

Graph the following pair of quadratic functions and describe any similarities/differences observed in the graphs. a. f opens upward with a y-intercept at (2, 0); h opens downward with a y-intercept at (-2, 0) b. f opens downward with a y-intercept at (0, -2); h opens upward with a y-intercept at (0, 2) c. f opens downward with a y-intercept at (0, 2); h opens upward with a y-intercept at (0, -2) d. f opens upward with a y-intercept at (0, 2); h opens downward with a y-intercept at (0, -2) Please select the best answer from the choices provided

Solve the problem.Find the break-even point for the given cost and revenue equations. Round to the nearest whole unit.C = 15n + 269,000R = 95na.80c.3363b.2445d.110

Solve the following inequality algebraically: a. b. c. d. Please select the best answer from the choices provided

The scores on the last math quiz are summarized in the following frequency table: Score 10 9 8 7 6 5 4 3 2 1 0 Frequency 6 7 5 3 2 1 1 0 0 0 0 The information is then put into the following histogram: Calculate the mean, median, mode, and midrange of this quiz distribution and explain whether the distribution is skewed to the left or to the right. a. Mean = 9, median = 8.2, mode = 7, midrange = 9; skewed to the left. b. Mean = 8.2, median = 9, mode = 9, midrange = 7; skewed to the left. c. Mean = 8.2, median = 9, mode = 9, midrange = 7; skewed to the right. d. Mean = 9, median = 8.2, mode = 7, midrange = 9; skewed to the right. Please select the best answer from the choices provided

A person flips a penny, a nickel, and a dime. Each coin can land with heads up (H) or tails up (T). The following tree diagram displays the different outcomes. Show what outcomes are possible. a. (HT), (HT), (HT), (HT) b. (HH), (TH), (HH), (TH), (HT), (TT), (HT), (TT) c. (HHH), (HHT), (HTH), (HTT), (THH), (THT), (TTH), (TTT) d. (HHH), (HHT), (HTH), (HTT) Please select the best answer from the choices provided

Find the vertex of the parabola. a. ( 4, 0) c. ( 3, 4) b. (0, 3) d. ( 4, 3) Please select the best answer from the choices provided

Make a scatter plot of the data below. Speed (mph) Stopping distance (ft) 10 12.5 20 36.0 30 69.5 40 114.0 50 169.5 60 249.0 70 325.5 Use the quadratic regression feature of a graphing calculator to find a quadratic model. Round to the nearest hundredths place. a. b. c. d. Please select the best answer from the choices provided

In 1990, the rate of change of the world population was approximately 0.09125 billion per year (or approximately 1 million people every four days). The world population was estimated to be 5.3 billion in 1990. Write an equation to model the population, P (in billions), in terms of t, where t is the number of years since 1990 (t = 0 corresponds to 1990) a. b. c. d. Please select the best answer from the choices provided

Use the given equation to complete the table: t (sec) s(ft) 0 1 2 3 Using the points from the table select the graph that best represents the equation. Graph A Graph B a. 0, 16, 64, 144; Graph A b. 0, 4, 8, 12; Graph A c. 0, 16, 64, 144; Graph B d. 0, 4, 8, 12; Graph B Please select the best answer from the choices provided

The spinner above is used in a game. What is the theoretical probability of the given event with one spin? a. c. b. d. Please select the best answer from the choices provided

Mrs. Huang operates a soybean farm. She buys many supplies in bulk. Often the bulk products need to be custom mixed before Mrs. Huang can use them. To apply herbicide to a large field she must mix a solution of 67% herbicide with a solution of 46% herbicide to form 42 liters of a 55% solution. How much of the 67% solution must she use?a.23 Lb.18 Lc.34 Ld.35 L