Bryan threw a tennis ball into the air. The ball hit the ground and bounced once before landing in a mud puddle. Which graph best models the height of the ball over time?

A child tosses a tennis ball into the air and it lands in the mud. The function h(t)=−16t2+16t+4

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h(t)=−16t

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+16t+4 gives the ball's height in feet with respect to time in seconds. a. Sketch a graph of y = h(t). Highlight the portion of the curve that fits this situation. b. What is happening to the height of the tennis ball with respect to the time? c. Since velocity is a function of distance traveled overtime, what part of the graph represents the velocity of the ball? What is happening to the velocity of the tennis ball with respect to time? d. Copy and complete the following table of time (s) versus height (ft). $$\begin{matrix}\text{t (s)} & \text{0} & \text{0.25} & \text{0.5} & \text{0.75} & \text{1} & \text{1.25} & \text{1.50}\\text{h (ft)} & \text{} & \text{} & \text{} & \text{} & \text{} & \text{} & \text{_}\\end{matrix}$$ e. Use the table to determine the ball's average velocity in ft/sec for each 0.25-second time interval. f. Predict the velocity of the ball at t = 0.8 seconds. Be prepared to justify your answer to the class.

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answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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