Answer:
Any integer x can be represent in form of 3k, 3k+1, or 3k + 2 (k is integer).
Case 1: x = 3k => x^2 - 2 = 9k^2 - 2, which will not be divisible by 3
(notice that 2 is not divisibble by 3, but 9k^2)
Case 2: x = 3k + 1 => x^2 - 2 = 9k^2 + 6k + 1 - 2 = 9k^2 + 6k - 1, which will not be divisible by 3
(notice that 1 is not divisibble by 3, but 9k^2 + 6k)
Case 3: x = 3k + 2 => x^2 - 2 = 9k^2 + 12k + 4 - 2 = 9k^2 + 12k - 2, which will not be divisible by 3
(notice that 2 is not divisibble by 3, but 9k^2 + 12k)
=> x^2 - 2 will never be divisible by 3
Hope this helps!
:)
Answer:
Step-by-step explanation:
To determine the area of the definite integral, we take each term and find its corresponding integral. We know that , so therefore we rewrite the expression as .
Now, we plug in each limit into the expression and find the difference between them:
Therefore,
find: choose the correct option
Explanation:(a)
(b)
(c)
(d)
If He Has 9 Friends, Then Each Of Them Will Get 9 Stamps Which Equals To 81. So There Will Be 2 Stamps Left
Answer:
Step-by-step explanation:
From the given information:
Total number of students,
The choices were: Chess(C), Swimming(S), and Football(F).
Everyone liked at least one sport except 7 kids,
Chess is not an active sport; and
10 children liked Chess only,
The probability that a randomly-chosen child from this group does not like active kinds of sport is the Probability that a student plays chess only or like no kind of sport at all.