To find which of the following roots is between "8" and "7" we can calculate the root of which numbers result in 8 and 7. To do this we will power them by 2, this is done because power is the oposite operation to the root. Doing this gives us:

So the root of 64 is 8 and the root of 49 is 7. We need to find the number that is between 49 and 64.
From the options the only one that qualifies is 52. The correct option is b.
Answer:
(2x + 5) ( x + 5)
Step-by-step explanation:
2x² + 15 + 25
2x² + 10x + 5x + 25
2x( x + 5) + 5( x + 5)
(2x + 5) (x + 5)
Answer:
There are 1500 non fiction books and 500 fiction books currently in the store.
Step-by-step explanation:
Given:
Total Number of books = 2000
Let the number of fiction books be 'x'.
Now given:
There are 3 times as many non-fiction books as fiction books.
Number of non fiction books = 
We need to find the number of non-fiction and fiction books.
Solution:
Now we know that;
Total Number of books is equal to sum of the number of non-fiction and fiction books.
framing in equation form we get;

Dividing both side by 4 we get;

Number of fiction books = 500
Number of non fiction books = 
Hence There are 1500 non fiction books and 500 fiction books currently in the store.
Answer:
6
Step-by-step explanation:
since their are 3 numbers to choose from we do 3! or 3*2*1 which is 6.
Answer:
c)The proof writer mentally assumed the conclusion. He wrote "suppose n is an arbitrary integer", but was really thinking "suppose n is an arbitrary integer, and suppose that for this n, there exists an integer k that satisfies n < k < n+2." Under those assumptions, it follows indeed that k must be n + 1, which justifies the word "therefore": but of course assuming the conclusion destroyed the validity of the proof.
Step-by-step explanation:
when we claim something as a hypothesis we can only conclude with therefore at the end of the proof. so assuming the conclusion nulify the proof from the beginning