Solve the system by substitution. If the system is inconsistent or dependent, say so.
A. infinite number of solutions of the equation x - 2 = y; dependent system
B. (0, 1)
C. (1, 0)
D. empty set solution; inconsistent system
Answer: D
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Solve. To measure the spread of data, statisticians compute the sample variance of the data. For a sample of size 3, the sample variance can be computed using the expression 
where m is the mean of the three values a, b, and c. Rewrite this expression without parentheses, combining like terms.
A. 3m2 - 2am - 2bm - 2cm + a2 + b2 + c2
B. 
C. 
D. 
Given that p and q each represents a simple statement, write the indicated compound statement in its symbolic form.p: The outside humidity is low.q: The central humidifier is running.r: The air in the house is getting dry.It is not the case that if the air in the house is getting dry, then the central humidifier is not running.
A. ~ r ? ~ q B. ~ (r ? ~ q) C. ~ (r ? q) D. ~ (r ? ~ q)
Factor by grouping.7p3 + 5q3 + 5pq2 + 7p2q
A. (p2 + q2)(5p + 7q) B. (p2 + q2)(5p - 7q) C. (p + q2)(5p2 + 7q) D. (p2 + q2)(7p + 5q)
Fill in the blank with one of the words or phrases listed below.
The solution(s) to the equation x + 5 = x + 4 is/are 
.
A. no solution B. all real numbers C. unlike terms D. reversed