Prepare a probability distribution for the experiment. Let x represent the random variable, and let P represent the probability.Two marbles are drawn from a bag in which there are 4 red marble and 2 blue marble. The number of blue marbles is counted.
A. 
B. 
C. 
D. 
Answer: D
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Divide and simplify.
÷ 
A. 
B. x + 4
C. (x + 4)(x - 3)
D. 1
Solve the inequality. Give the solution set in both interval and graph forms.-2x + 8 ? -3x + 14
A. (-2, ?)
B. [6, ?)
C. (-?, 6]
D. (-?, -2)
Solve the problem.The cost of owning a home includes both fixed costs and variable utility costs. Assume that it costs $2265 per month for mortgage and insurance payments and it costs an average of $3.55 per unit for natural gas, electricity, and water usage. (i) Determine a linear function that computes the annual cost of owning this home if x utility units are used. (ii) What does the y-intercept on the graph of the function represent?
A. y = -3.55x + 27,180; y-intercept, 27,180, represents the minimum cost of owning the home for 12 months without spending anything on utilities. B. y = 3.55x + 2265; y-intercept, 2265, represents the minimum cost of owning the home without spending anything on utilities. C. y = -3.55x + 2265; y-intercept, 2265, represents the minimum cost of owning the home without spending anything on utilities. D. y = 3.55x + 27,180; y-intercept, 27,180, represents the minimum cost of owning the home for 12 months without spending anything on utilities.
Find all rational zeros.f(x) = x4 + 3x3 + 3x2 - 6x - 27
A. {-3, 2} B. {3, -1} C. {-3, -3} D. No rational zeros