When adding/subtracting fractions you need a common denominator, but you already have one, which is x-3. So in general:
a/c-b/c=(a-b)/c so you just have:
(2x-6)/(x-3) now if you factor 2 from the numerator
2(x-3)/(x-3) the (x-3)s cancel out leaving
2
However! Note that division by zero is undefined, so x cannot equal 3. (because both original fractions had denominators of x-3)
What this all means is that that expression will equal 2 for all real values of x other than 3.
If you're seeing these problems as part of your study of statistics, you should know that
C(n, k) = n!/(k!×(n-k)!)
where the "!" indicates the factorial, the product of all positive integers less than or equal to the given one.
Then C(7, 7) = 7!/(7!×0!) = 1/0!
You are supposed to know also that 0! ≡ 1, so C(7, 7) = 1.
This is the number of ways you can choose 7 objects from a pool of 7 objects without regard to order. (You can do it one (1) way: choose all of them.)
The appropriate choice is ...
B: 1
Answer:
1
Step-by-step explanation:
If we have 2 points we can find the slope
(0,-7) and (6,-1) are two points on the line
Slope is given by
m=(y2-y1)/(x2-x1)
=(-1--7)/(6-0)
= (-1+7)/(6-0)
=6/6
=1
Answer:
A to D to C to B
Step-by-step explanation:
A to D to C to B only takes 10.5. Everything else takes a longer distance.