Answer:
The limit of the function as x approaches to -1, is -1 and the option 4 is correct.
Step-by-step explanation:
According the the definition of limit, if,

Then the limit of function exist. Either the function is defined or not on the point a. If the at point a the value value of function is L, then the function is continuous.
From the given graph it is easily noticed that the value of f(x) approaches to -1 as x approaches to -1 from left or left. At x=-1 there is a open circle on (-1,-1), therefore this is not included in the function.
The value of f(x) is 2 at x=-1 because of the point (-1,-2).

Therefore the limit of the function exist and the limit of the function is -1.
Answer:
3x-1
Step-by-step explanation:
6 +(-x) +2x + (-7) + 2x=
6-x +2x -7 + 2x =
6-7+ 2x+2x-x=
-1 + 3x=
3x-1
4 units because the y-intercept is how you figure out the difference. You take the y-intercept, find the absolute value of it, and you found the distance of the line! This is of course considering the lines are parallel, meaning the slope is the same.
12 × -5 = 60
12 + (-5) = 12 - 5 = 7
Answer:
41.67% probability that a student has a dog given that they have a cat
Step-by-step explanation:
We use the conditional probability formula to solve this question. It is

In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: having a cat.
Event B: having a dog.
12 of 27 students have a cat:
This means that 
5 students who have a cat and a dog.
This means that 
What is the probability that a student has a dog given that they have a cat?

41.67% probability that a student has a dog given that they have a cat