Add and simplify. (2 + 1-64) + (2+ 1-36) (2 + 1-64) + (2 + 1-36) =[ (Simplify your answer. Type your answer in the form a + bi.)Subtract and simplify. (2- 31) - (-4+i) (2 - 37) - (-4+1) =[ (Simplify your answer. Type your answer in the form a + bi.)Multiply. (8+9i)(24i) (8+9:')(24i)= (Simplify your answer. Type your answer in the form a + bi.) Multiply. (8902 (8902= (Simplify your answer. Type your answer in the form a + bi.) Simplify. 3 2 + 5i 3 2 + 5i (Type an integer or a simplified fraction. Type your answer in the form a + bi.)Solve the following equation. 16z + 62 =64z The solution(s) is/are]. (Type an exact answer, using radicals and i as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)Solve the following quadratic equation by using the quadratic formula. 2x~ + 10x = 3 . . . The solution(s) is/are 7 (Simplify your answer. Type an exact answer, using radicals and i as needed. Use a comma to separate answers as needed.)For the following. nd the discriminant. b2 ciao. and then determine whether one real-number solution. two different real-number solutions. or two different imaginary number solutions exist. x2+4x+1f= What is the discriminant b2 4ac? :l {Simplifyr your answer.) What is the nature of the solutionis}? [:1 A. There are two different realnumb er solutions. [:1 E. There is one realnumber solution. [:1 C. There are two different imaginary-number solutions. Solve the following equation. y4 + 91,3 52 = 0 <:> FD (Type exact answers. using radicals as needed. Express complex numbers in terms off. Use a comma to separate answers as needed. Type each solution only once.) The formula S = 16t" is used to approximate the distance S, in feet, that an object falls freely from rest in t seconds. The height of a building is 1080 feet. How long would it take for an object to fall from the top? The object would fall for | seconds. (Simplify your answer. Type an integer or a decimal rounded to the nearest tenth.)State whether the function is linear or quadratic. f(x) =4.7x - (2.5)- Choose the correct answer below. O A. The function f(x) =4.7x - (2.5)" is a quadratic function. O B. The function f(x) = 4.7x - (2.5) is a linear function.Find the correci graph of the equation. 34 = ():+1]I2 3 E) Choose the correct graph on the right. Atoy rocket is shot verticallyr into the air from a launching pad 1' feet above the ground with an initial velocity of 'l 12 feet per second. The height h. in feet. of the rocket above the ground at t seconds after launch is given by the function h{t] = 16t2 +112t+ ?. How long will it take the rocket to reach its maximum height? What is the maximum height? The rocket reaches its maximum height at second(s) alter launch. [Simplify your answer.) The maximum height reached by the object is D feet. [Simplify your answer.) Solve 2 6 X - 3 - 3x Choose the correct answer below. O A. {x | x is a real number and x # 0 and x #3} O B. {x | x is a real number} O C. {x | x is a real number and x # 3 and x # - 3} O D. No solutionSolve. Vy+2 -2 =1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The solution(s) is/are (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) O B. There is no solution.Solve. 15x + 41-6= -3 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The solution(s) is/are (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed.) O B. There is no solution.Solve x - 6 2 >1 Select the correct choice below and fill in any answer boxes in your choice. O A. The solution is (Type your answer in interval notation. Simplify your answer.) B. There is no solution. Choose the graph of the solution set. O A. -2 0 2 6 +OB. COL 10 12 14 16 18 20 -4 -2 0 2 4 6 10 12 14 16 18 20 OC. # -2 0 2 POD. 6 10 12 14 16 18 20 -4 -2 0 2 6 coF 10 12 14 16 18 20\f\fFind the axis of symmetry of the given function. g(x) = 3x- - 18x + 34 O A. x= - 7 OB. x=0 OC. x= 7 OD. x=3