Factor completely.7x2 + 27x - 4
A. (7x - 1)(x + 4)
B. (7x - 4)(x + 1)
C. (7x + 1)(x - 4)
D. (7x + 4)(x - 1)
Answer: A
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Solve the problem.The position (in centimeters) of an object oscillating up and down at the end of a spring is given by 
at time t (in seconds). The value of A is the amplitude of the motion, k is a measure of the stiffness of the spring, and m is the mass of the object. How fast is the object moving when it is moving fastest?
A. A cm/sec
B. 
cm/sec
C. A
cm/sec
D. A
cm/sec
Factor by grouping.8x4 + 12x2y2 + 10x2y2 + 15y4
A. (4x2 - 5y2)(2x2 - 3y2) B. (8x2 + 5y2)(x2 + 3y2) C. (4x2 + 5y)(2x2 + 3y4) D. (4x2 + 5y2)(2x2 + 3y2)
Decide whether the equation defines y as a function of x.y = 13
A. function B. not a function
Use mathematical induction to prove that the statement is true for every positive integer n.4 + 
+ 
+ . . . + 
= 5
What will be an ideal response?