Please answer and explain ALL 20 questions in order and please DO NOT WRITE ON PAPER, type it out on the computer, NO handwriting whatsoever please because it's hard to read. Please show all work and make sure it is correct so that when I look back on notes Im studying the proper material. Lastly, please write it so I can copy and paste as well . I promise I'll rate you well if all directions are followed correctly. Thank you in advance!

A rock is thrown upward at a speed of 85 fu/sec from the top of a 100-foot-high cliff overlooking the ocean. The rock's height above the ocean can be modeled by the function f (a) = -16x2 + 85x + 100 where f(x) represents the height of the rock as a function of time, X. Match each question below with the characteristic of the function that is necessary to answer it. (3 points) After how many seconds does the rock reach its maximum height? After how many seconds would the rock hit the ocean? What is the maximum height of the rock? #: The x-value of the maximum #: The y-value of the maximum #: The x-interceptAll complex numbers can be graphed on the real xy coordinate plane. (1 point) Item 13 O True Item 14 O False Item 15 Item 16 Item 17 Item 18 Item 19 Item 20 Next\fItem 13 Please read the following statement carefully. The minimum value of a function is the smallest x-value of the function. Item 14 (1 point) Item 15 O True Item 16 O False Item 17 Screen capture . Screenshot taker Show in folder Copied toItem 13 Please read the following carefully. Any number in the form of a + bi, where a and b are real numbers and b 0 is considered a pure imaginary number. Item 14 (1 point) Item 15 O True Item 16 O False Item 17 Screen capture . Screenshot taker Show in folder Copied toA football is punted into the air. Aer 1 second. the hall is 48 feet in the air. Alter 2 seconds. the football reaches its maximum height of 64 feet. Write the equation ofthe parabola in vertex form. (1 point) Item 14 o y=2(m1)248 *ltemlE _ _ 2 O y(m 2} +64 ltem15 O =16$22+64 y ( } Item 1]" O y = CI,01(&: 64)2 + 2 @ Screen capture - r Screens hot taker Show in folder l3} Copied 1:: l An object is launched into the air from a height of 5 feet. Item 13 20 Item 14 Height (in feet) 15 Item 15 Item 16 10/ Item 17 Item 18 Item 19 Time (seconds) Item 20 Using the graph, determine which of the following would most likely represent the time it would take the object to hit the ground. (1 point) O Approximately -0.15 seconds O Approximately 19.1 seconds O Approximately 2.03 seconds O Approximately 0.94 seconds\fUse graphing to nd the solutions to the system of equations. Item 12 {32924 } Item13 23: + y = 1 Item 14 (1 point) Item 15 1" Item 16 III . I Item 1? O I. HI' Item 18 \"I I a li' Item 19 12 Vinny's company customizes and sells hats. The function p (a) = -10x2 + 700x - 6000, graphed below, indicates how Item 11 much profit he makes in a month as a function of the selling price. Item 12 8000 y Item 13 6000 Item 14 Profit ($) 4000 Item 15 2000 Item 16 X 0 0 20 40 60 80 Item 17 Selling Price ($) Item 18 What should Vinny charge per hat to make the maximum profit, and what is the maximum profit he can make? (1 point) O $6000 at $40 per hat O $7000 at $30 per hat O $6,250 at $35 per hat O $4850 at $25 per hat11 Item 10 The lengths of the sides of a rectangular window have the ratio 2.5 to 1. The area of the window is 2,250 square inches. What are the dimensions of the window? (1 point) Item 11 O 60 inches by 37.5 inches Item 12 O 30 inches by 45 inches Item 13 O 30 inches by 75 inches Item 14 O 50 inches by 45 inches Item 15 Item 16 Item 17 Nex10 Item 9 During a softball game, a batter hits a ball upward from an initial height of 3 feet. The height, in feet, of the softball is given by s (t) = -16t2 + 80t + 3, where t is time in seconds and t 2 0. Which is closest to the time when the softball will be 50 feet Item 10 above the ground? (1 point) Item 11 O 2.50 seconds Item 12 O 5.04 seconds O 0.67 seconds or 5.04 seconds Item 13 Screen capture . O 0.83 seconds or 3.55 seconds Screenshotitaker Show in folder Item 15 Item 16 it po Next [ Copied to Edit Delete-10 l How many teal solutions does the function shown on the graph have? (1 point) O Two real solutions C) One real solution C} Cannotbe determined C} No real solutions Item 8 Item 9 Item 10 Item 11 Item 12 Item 13 Item 14 Item 15 Item 7 What are the zeroes of y = x2 - 8x + 15? (1 point) Item 8 O -3, -5 Item 9 O 3, -5 Item 10 O -3, 5 O 3, 5 Screen capture . Screenshot taker Show in folder 1 pointy [ Copied to Edit Deleteem . What is the solution to 39:2 + 22: + 6 = 0? (1 point) } Item 7 O Sing/E Item 8 O 1::;m Item 9 O 41\"\" Item 10 0 Jim Item 11 Item 12 Item 13 10 Item 6 Item 7 5 Item 8 Item 9 X -10 -5 5 10 Item 10 -5 Item 11 Item 12 -10 Which equation could be solved using the graph above? (1 point) O x2 - 4x + 3 = 0 O x2 + 4x + 3 = 0 O x2 - 6x + 9 =0 O x2 - 1 =0\f>X Item 8 Item 9 Item 10 Which of the following could be the graph of y = (a - 2)? Item 11 (1 point) Item 12 O >X O >XThe graph of y = x2 is shown below. Item 5 Item 6 y = x2 Item 7 > X Item 8 Item 9 Item 10 Which of the following could be the graph of y = (ac - 2)2 Item 11 (1 point) Item 12 OItem 4 A student has simplified the following expression incorrectly. Identify the mistake that was made and simplify the expression correctly. Show all necessary steps in the space provided. Item 5 (-32) (-52) Item 6 152 Item 7 Item 8 Item 9 (3 points) Item 10 BIYETa Item 11 0 / 10000 Word Limit NexNote: Enter your answer and show all the steps that you use to solve this problem in the space provided. l \"er" 1 What is the expression in factored form? Item 2 31:2 + 6;: 24 } Item?! (3 DOME) Item 4 B I L! I 55 E Ti H E ltem5 Item 6 Item '1' o I 10000 Word Limit Item 3 Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Item 1 What is the vertex form of the equation? Item 2 y =-x+6x -7 Item 3 (3 points) Item 4 BIYEET a Item 5 Item 6 Item 7 0 / 10000 Word Limit Item 8 NexItem 1 Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Use the quadratic formula to solve the equation. Item 2 x2+ 5x - 7=0 Item 3 (4 points) Item 4 a Item 5 Item 6 Item 7 0 / 10000 Word L Item 8 Nex