<h3>
Answer: 10,080</h3>
Explanation:
There are 8 letters so there are 8! = 8*7*6*5*4*3*2*1 = 40,320 permutations of those letters. However, the letters "O" and "L" show up twice each, so we must divide by 2! = 2*1 = 2 for each instance this happens.
So,
(8!)/(2!*2!) = (40,320)/(2*2) = (40,320)/4 = 10,080
is the number of ways to arrange the letters of "football".
The reason we divide by 2 for each instance of a duplicate letter is because we can't tell the difference between the two "O"s or the two "L"s. If there was a way to distinguish between them, then we wouldnt have to divide by 2.
Answer:
the answer is B
Step-by-step explanation:
Answer:
It's choice B.
Step-by-step explanation:
Let's look the one you have chosen (A):
f(x) = x - 2/ 7 + 8
x-2 / 7 = f(x) - 8
x- 2 = 7(f(x) - 8)
x = 7(f(x) - 8) + 2
The inverse)= 7(x - 8) + 2
So it's not A.
B. f(x) = 5(x/4) - 3
5x / 4 = f(x) + 3
5x = 4(f(x) + 3)
x = 4(f(x) + 3 / 5
So the inverse is 4(x + 3) / 5
So it is B.
Answer:
The sign is negative
Step-by-step explanation:
Given



Required
Determine the sign
The expression can be split into 3 factors

If x > 0 then x is positive and If y < 0 then y is negative
So, the expression becomes:

<em />
Leave only signs


So, we have:



So, we have:

<em>Hence, the sign of the expression is negative</em>
<em></em>
Take for instance;


The expression would be:
-- negative