Determine whether the syllogism is valid or invalid.Some teachers believe in corporal punishment.All who believe in corporal punishment are cruel.Mr. Harrington is not cruel. ? Mr. Harrington is not a teacher.
A. Valid
B. Invalid
Answer: B
Mathematics
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Use the boundedness theorem to determine whether the polynomial function satisfies the given condition.The polynomial f(x) = x5 + 10x4 - 25x3 - 10x2 + 24x has no real zero less than -8.
A. Yes, the boundedness theorem shows that the polynomial has no real zero less than -8. B. No, the boundedness theorem does not show that the polynomial has no real zero less than -8.
Mathematics
Find the x-intercept and y-intercept, then graph the equation.8y - 2x = -6
A. (3, 0), 
B. (-3, 0), 
, 
C. (3, 0), 
D. (-3, 0), 
, 
Mathematics
Determine whether the given equation is an identity.
+ 7 = 
- 3 - 
+ 10
A. Yes B. No
Mathematics
Use the region R to evaluate the double integral.
RR bounded by 
, and 
A. 480,000
B. 
C. 
D. 
Mathematics