4n² - 15n + 14<span> is always the product of two numbers, for it to be prime number, one of these factors must be either 1 or -1.
Case n - 2 = 1
That would be n = 3
Then </span>4n² - 15n + 14<span> = 5 , which is prime.
Case n - 2 = -1
That would be n = 1
Then </span>4n<span>² - 15n + 14 = 3, which is also prime.
Case 4n - 7 = 1
That would be n = 2 and that makes other factor (n-2) zero so it's not prime
Case 4n-7 = -1
That would be n = 3/2 which is not integer, so </span>4n<span>² - 15n + 14 will not be interger.
For any other n values, </span>4n<span>² - 15n + 14 will be composite number since it is product of two factors.
Therefore we are left with n = 1 and n = 3; only two values of n.</span>
10x=100 because tbh if you Calculate 5x-10=40 it’s give you your answer and go off of that.
The ratio of males to females is 1.4 : 1, so the fraction of the total that is made up of males is 1.4/(1.4 + 1) = 1.4/2.4 = 7/12.
There were (7/12)*475 ≈ 277 males at the party.
There were 475 - 277 = 198 females at the party.
Simplify each term.
7x^2 + 15x - 2/x + 3
Hope this helps! :)
<h2> The answer is very simple add the whole numbers then find the LCM of 3 and 4 which is 12 then multiply 3/4 by 3 which will be 9/12 then multiply 2/3 by 4 which will be 9/12 then we add 9/12 + 8/12 which will equal to 5 17/12 which we can reduce and answer will be 6 5/12 spinach.</h2>