Find the first five terms of the recursively defined sequence.a1 = 8, an+1 = 

A. 8, - , -8, - , -8
B. 8, - , - 
C. 8, - , 8, - , 8
D. 8, - , - , - ,-  


Answer: C

Mathematics

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Solve the system of equations by the substitution method. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent.6x + 9y = -42-3x + 4y = 21

A. (-8, 1) B. (-7, 0) C. (-7, 1) D. No solution; inconsistent

Mathematics

Solve the problem. Round to the nearest tenth, if necessary.If an object is thrown upward with an initial velocity of , its height after t sec is given by . Find the maximum height attained by the object. (The object will attain maximum height exactly at the halfway point in terms of the time t, where t = 0 is at the beginning of the object's flight, and the final time is when the object hits the ground.)

A. 196 ft B. 180 ft C. 96 ft D. 112 ft

Mathematics

Factor completely. If the polynomial cannot be factored, say it is prime.15x3 - 14x2 - 8x

A. (3x2 - 4)(5x + 2) B. x(5x - 4)(3x + 2) C. x2(3x - 4)(5x + 2) D. x(3x - 4)(5x + 2)

Mathematics

Establish the identity.cot 2 x + csc 2 x = 2 csc 2 x - 1

What will be an ideal response?

Mathematics