Solve the equation by the method of your choice.6x2 + 12x + 3 = 0
A. 
B. 
C. 
D. 
Answer: A
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Factor the polynomial completely using the grouping method.4x2 - 9x + 6
A. (4x - 6)(x - 1) B. (2x - 6)(2x - 1) C. (4x - 1)(x - 6) D. prime
Find the equation that the given graph represents and give the domain, range, and interval(s) over which the function is increasing and decreasing.
A. P(x) = x5 - 10x4 - 100x2 + 100; domain: (-?, ?); range: (-?, -99.85]; Increasing over (-?, -5.16] and [-1.81, 0] and [1.81, 5.16]; Decreasing over [-5.16, -1.81] and [0, 1.81] B. P(x) = -x5 - 20x4 - 100x2 + 100x; domain: (-?, ?); range: (-?, -100]; Increasing over (-?, -3.98] and [-1.11, 0] and [1.11, 3.98]; Decreasing over [-3.98, -.32] and [0, .32] C. P(x) = -x6 + 20x4 - 100x2 + 100; domain: (-?, ?); range: (-?, 99.85]; Increasing over (-?, -3.14] and [-1.81, 0] and [1.81, 3.14]; Decreasing over [-3.14, -1.81] and [0, 1.81] and [3.14, ?) D. P(x) = -x6 + 10x4 - 100x2 - 100; domain: (-?, ?); range: (-?, 100]; Increasing over (-?, -4.41] and [-.61, 0] and [1.70, 3.14]; Decreasing over [-4.41, -.61] and [0, .61] and [1.70, ?)
Write the indicated event in set notation.The event that George wins second prize in a competition in which two people are selected from four finalists to receive the first and second prizes. The prize winners are selected by drawing names from a hat. The names of the four finalists are Jim, George, Helen, and Maggie. [The possible outcomes can be represented as follows.JGJHJMGJGHGMHJHGHMMJMGMHHere, for example, HM represents the outcome that Helen receives the first prize and Maggie receives the second prize.]
A. 
B. 
C. 
D. 
Find an equation of variation in which y varies inversely as x and the following is true.y = 0.625, when x = 24
A. y = 
B. y = 
C. y = 15x
D. y = 