in photo (multiple choice ) don't show procedures Question 4 Brendan kicked a football . The height of the ball measured in feet can be modeled by the function h = - 16t ^ 2 + 85t , where t is the number of seconds after Brendan kicks the ball What is the value of t when the football reaches its maximum height ? ( Round answer to the nearest tenth ) A) 0.4 seconds B) 2.3 seconds C) 2.7 seconds D) 5.3 seconds Question 6 Let u= <-3,7a> and v =<5,-2> What is 3u -2v? A) <1,17> B) <6,-10> C)<-19,25> D)<-24,-18> Question 8 Given the two functions f(x) = 3x + 7 and g(x) = x - 53 , for what value of x is fgx=6 A)4 B) 5.3 C) 6 D) 6.7 Question 10 Use the factor (x + 2) and the Fundamental Theorem of Algebra to find the zeros of f(x) = x ^ 3 + 7x ^ 2 + 14x + 8 A) 4,2,1 B) -4, 2, -1 C) 4, -2, -1 D) -4, -2,-1 Question 13 Which angle is coterminal to 62 degrees ? A) - 118 degrees B)-62 degrees C) 242 degrees D) 422 degrees Question 15 Simplify the expression below, then state the restrictions on the domain x2- 11x + 28x2 - 4x - 21 A) x-4x-3;x ne3 and x ne7 B) x + 4x - 3 ; x ne-7 and x ne3 C) x - 4x + 3 ; x ne-3 and x ne7 D) x + 4x + 3 ; x ne-7 and x ne-3 Question 17 Solve the equation below. What is the value of x? x-12=3x4 A) -2 B) -1 C)-12 D) -14 Question 18 What are the approximate rectangular coordinates for the point with polar coordinates (5, 30 degrees) A) ( 2.5, 2.89) B) ( 2.5, 4.33) C) (4.33, 2.5) D) (2.89, 4.33) Question 19 Use the Intermediate Value Theorem to determine which interval of values that are given below contains a real zero of the function f(x) = x ^ 2 + 2x - 2 A) [0, 1] B) [1, 2] C) [- 1, 0] D) [- 2, - 1] Question 20 After factoring the expression sin 2x - cos x = 0 , what is the next step in simplifying? A) cosx =0; sin x = 12 B) cosx= 12; sinx= 0 C) cos x = 0 ; sinx = - 12 D) cosx = - 12 ; sinx = 0 Question 22 Use the sum or different formula to find the exact value of cos 75degree A) 6-24 B) 2-64 C) 6+ 24 D) -2-64 Question 25 What is the radian measure when Sam converts 120 degrees ? A) 2pi/ 3 B) 5pi / 6 C) 4pi / 3 D) 7pi/ 6 Question 26 what is the amplitude of y=3 (2x) + pi/2 -2? A) -2 B) pi/2 C) 2 D) 3 Question 27 In which interval is the function f(x) = (x ^ 2 +7x + 10)/(x - 3) discontinuous ? A) [- 6, - 4] B) [- 3, - 1] C) [- 1, 1] D) [2, 4] Question 28 The Forest Service built three rest stops at positions designated D, Y and L, enclosing a triangular region. The distance DY is 5 miles, the distance LY is 8 miles and m angle Y=32 degree What is the area of the enclosed region? ( Round answer to the nearest tenth .) A) 10.6 square miles B) 15.6 square miles C) 25.0 square miles D) 34.8 square miles Question 30 Factor the expression below and use the fundamental identities to simplify cos^2 x + cos^2 x * tan^2 x A) 1 B) cos^2x C) tan^2x D) sin^2x Question 37 What is the inverse function of fx = 5x - 2 ? A) f - x = 15x + 25 B) f - x = 2x - 5 C) f - x = 15x + 2 D) f - x = 15x - 12 Question 39 The equation x ^ 2 + y ^ 2 - 4x - 8y - 16 = 0 represents a circle in the standard xy-coordinate plane. What is the radius of the circle ? (Complete the square to convert the equation to standard form ) A) 4 B) 6 C) 16 D) 36 Question 40 An airplane is flying on a compass bearing east of north of 325 degree at 410mph. What is the component form of the vector of the airplane? (Round answer to the nearest tenth ) A) <80 , 95.8> B) <208.9,249.0> C) <-235.2,335.9 > D) <335.9,-235.2> Question 41 Joshua took a boat and left a dock to travel for two daysOn his first day, his travel is represented by the vector <7,9>.0n the second day, he continues to travel from that point away in the same direction an additional distance represented by the vector <6, 3 > Each vector is measured in miles How far is Joshua from the dock at the end of day 2(Round answer to the nearest mile ) A) 6 B) 7 C) 18 D) 25