Use an Euler diagram to determine whether the syllogism is valid or invalid.All painters use paint.All painters use brushes.Some people who use paint are teachers.? Some painters are teachers.
A. Invalid
B. Valid
Answer: A
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Evaluate the expression.[(-6)(-4)] - 18
A. -42 B. -6 C. 42 D. 6
Express the sum in sigma notation.
+ 
+ 
+ 
A. 
B. 
C. 
D. 
Find the requested angle.Supplement of 71
°
A. 288
°
B. 153
°
C. 198
°
D. 108
°
Solve the problem.An electronics company kept comparative statistics on two products, A and B. For the years 2009 to 2017, the total number of Product A ever sold (in thousands) is given by the equation 
, where x is the number of years since 2009. For that same period, the total number of Product B ever sold (in thousands) is given by the equation B(x) = -30x + 434, where x is the number of years since 2009. Choose the statement that most accurately describes the solution of the system of equations.
A. At about 1.6 years (to the nearest tenth) from 2009, both products had sold the same amount. B. When 385,000 of Product A had been sold, Product B had sold 1.6 times as many. C. At some point between 2009 and 2017, both products had sold 1600 each. D. Product B sold 1.6 times as many as Product A.