Provide an appropriate response.Explain how the sign of B determines whether you would shade above or below the boundary line in graphing Ax + By > C.
What will be an ideal response?
Answers may vary. One possibility: The answer depends on whether the equation resolves to y > f(x) or y < f(x). To solve the inequality, first subtract Ax from both sides, yielding By > C - Ax. The next step is the key to the question. To isolate y, divide each side by B. If B is positive (that is, B > 0), then there is no change to the inequality sign. However, if B has a negative sign (that is, B < 0), then the sign reverses. In the first case, you would shade above the boundary line; in the second, you would shade below. (Alternately, you could begin solving the equality by subtracting B from each side if the sign of B is negative. This would avoid division of the inequality by a negative number.)
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Solve the problem.In the past, Michael had the following success shooting free throws after being fouled. 
of the time he got 0 points, 
of the time he got 1 point, and 
of the time 2 points. Use the following set of random digits to simulate 100 free throws. Begin at the top of the first column and move down that column
then start at
the top of the second column and move down 
Use the following: 
and 
Estimate the probability that on a given occasion, Michael will score 2 points after being fouled. 
A. 
B. 
C. 
D. 
Solve the problem.How many different license plates can be made using 2 letters followed by 5 digits selected from the digits 0 through 9, if neither letters nor digits may be repeated?
A. 67,600,000 B. 9,828,000 C. 19,656,000 D. 81,900
Provide an appropriate response.The probability distribution for the random variable X is: 
What is the expected value of X?
A. 0.62 B. 0.26 C. 0.22 D. 0.50
Identify the equation without completing the square.2y2 - 2x - 3y = 0
A. parabola B. hyperbola C. ellipse D. not a conic