Determine if the argument is valid or a fallacy. Give a reason to justify answer.If you wear a tie, then you look natty.You do not look natty. You are not wearing a tie.
A. Valid by disjunctive syllogism
B. Fallacy by fallacy of the converse
C. Fallacy by fallacy of the inverse
D. Valid by modus tollens
Answer: D
Mathematics
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Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.
A. 
B. 
C. 
D. 
Mathematics
Solve the problem.The length of a table is 10 inches more than its width. If the area of the table is 
inches, what is its length?
A. 50 in. B. 60 in. C. 40 in. D. 100 in.
Mathematics
For the given functions f and g, find the requested composite function.f(x) = 
, g(x) = 5x + 2;
Find (g ? f)(x).
A. x - 
B. x + 4
C. 5x + 8
D. x
Mathematics
Multiply the polynomials.(4y2 + 5y + 5)(y2 + 4y - 1)
A. 4y4 + 21y3 + 16y2 + 15y - 5 B. 4y4 + 21y3 + 21y2 + 15y - 5 C. 4y4 + 16y3 + 21y2 + 15y - 5 D. 4y4 + 16y3 + 16y2 + 15y - 5
Mathematics