Determine if the argument is valid or invalid. Give a reason to justify answer.If I'm hungry, then I will eat.I'm not hungry. ? I will not eat.
A. Invalid by fallacy of the converse
B. Invalid by fallacy of the inverse
C. Valid by the law of detachment
D. Valid by the law of contraposition
Answer: B
Mathematics
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Translate to an equation, then solve.Twenty-seven less than eight times a number is equal to five.
A. 27 + 8n = 5, n = -4 B. 27 - 8n = 5, n = 3 C. 8n + 27 = -5, n = -4 D. 8n - 27 = 5, n = 4
Mathematics
Find f(x) and g(x) such that h(x) = (f ? g)(x).h(x) = 
A. f(x) = 
, g(x) = 
B. f(x) = 
, g(x) = 
C. f(x) = 
, g(x) = 
D. f(x) = 
, g(x) = 
Mathematics
Find matrices A, X, and B such that the linear system is equivalent to the matrix equation AX = B.
A. A = 
, X = 
, B = 
B. A = 
, X = 
, B = 
C. A = 
, X = 
, B = 
D. A =
, X = 
, B = 
Mathematics
Evaluate the polynomial.x2 + y2 - z2 for x = 2, y= 3, and z = 3
A. 9 B. 22 C. 13 D. 4
Mathematics