Given: 2<span>√(x - 5) = 2
Taking the square of both sides:
[</span>2√(x - 5) = 2]^2
4(x - 5) = 4
x - 5 = 1
x = 6
Among the choices, the correct answer is A. <span>x = 6, solution is not extraneous .</span>
Sorry if this is wrong and it doesn't hep but I got 32
We should get extra points for decoding the question. Is that computer generated?
It's easier for us if you type it in using math symbols, with lots of parentheses for clarity, or just post a photo.
If
what is the value of x?
That's straightforward:
Answer: -243
Answer:
a) a
b) ab
e) bbbbb
Step-by-step explanation:
We are given the following in the question:
a) a
It is given that 
b) ab
Thus, ab belongs to S.
c) aba
This does not belong to S because we cannot find x for which xb belongs to S.
d) aaab
This does not belong to S because we cannot find x for which xb belongs to S.
e) bbbbb
Thus, bbbbb belongs to S.
Answer:
n(n+1)(n+5)/3
Step-by-step explanation:
there is no value, as we don't know n.
but we can create a summary formula/ function definition :
this is the sum for k = 1 to n of k×(k+3)
k×(k+3) = k² + 3k
so, the overall sum splits into the sum of k² for k=1 to n, and the sum of 3k for k=1 to n.
and the sum of 3k is 3 times the sum of k for k=1 to n.
Σk² for k=1 to n = [n(n+1)(2n+1)]/6
Σk for k=1 to n = n(n+1)/2
3×Σk for k=1 to n = 3×n(n+1)/2
so, we have a function formula
n(n+1)(2n+1)/6 + 3n(n+1)/2 = n(n+1)(2n+1)/6 + 9n(n+1)/6 =
= n(n+1)(2n+1+9)/6 = n(n+1)(2n+10)/6 = n(n+1)(n+5)/3
