Answer: (-2, 8)
Explanation:
Plug x = -2 into the second equation. Isolate y.
5x+3y = 14
5(-2)+3y = 14
-10+3y = 14
3y = 14+10
3y = 24
y = 24/3
y = 8
We have x = -2 lead to y = 8.
Therefore, the ordered pair (x,y) = (-2,8) is the solution to this system.
The first thing to is factor the denominator of the rational function:

to do this we'll need to find two number whose product is -3 and its sum is -2; those numbers are 1 and -3, so:

Now we can rewrite our rational function as follows:

Notice that we have a common factor (x-3) in both numerator and denominator; therefore we can cancel them:

Taking all the above into consideration we realize that x=3 is a removable discontinuity; the correct answer is the first one: there is a hole in x=3 and asymptote at x=-1.
Answer:
Option A - Permutation; number of ways = 210
Step-by-step explanation:
Given : At a competition with 7 runners, medals are awarded for first, second, and third places. Each of the 3 medals is different.
To find : How many ways are there to award the medals?
Solution :
There are 7 runners but medals are three.
The first runner up got first medal as one is locked.
The second runner up got second medal as second is locked.
The third runner up got the third medal.
So, There is a permutation.
Number of ways to award the medals is 
We know, 
Substitute the values,



Therefore, Option A is correct.
Permutation; number of ways = 210
Well, the problem is that he does not replace the first marble after he draws it. Therefore, yes, he has a 2/12 probability of drawing a yellow marble first, but then he has a 4/11 probability of drawing a red marble second, not 4/12. This is because there are going to only be 11 marbles left in the bag after he draws the first marble and does not replace it.
The correct answer would be:
(2/12)(4/11)=8/132=4/66=2/33
The third diagram is the correct answer.