We can define discontinuity as a point in our function where we have a given indetermination. Here particularly we refer to the indetermination of dividing by zero.
The correct option is a: Vertical Asymptote
Here we work with functions like:
Suppose that g(x) = (x + 1)*(x - 2)
k(x) = (x + 1)*(x + 17)
Then we have:
Here we have the common factor (x + 1) that we can remove, doing that we get:
This function can't be reduced any more, so now we can see the discontinuity. It happens when the denominator is equal to zero at x = -17.
Now, if any number is divided by a really smaller number, then the outcome of the quotient is really large (or really small, depending of the sign). From this, for dividing by zero we will have vertical asymptotes that tend to infinity (or negative infinity).
Then the discontinuity that is found by reducing common factors in the numerator and denominator of a rational function is a vertical asymptote, thus the correct option is a.
If you want to learn more, you can read:
brainly.com/question/17317969
There are 4 * 1/4 hr in one hour so we multiply yhe 3/4 by 4
Answer is 3/4 * 4 = 3 miles
Your answer is 157, i'm pretty sure
X - 3y = -6
3y = -x - 6
y = 1/3x + 2
y-intercept is 2
Answer:
Part a: The number of ways in which the candidates can be appointed on the executive posts are 11880.
Part b: The number of ways in which the candidates can be appointed as members of the planning committee are 495.
Step-by-step explanation:
As the complete question is not given a similar question is found online and is attached herewith.
Part a: Number of ways in which 12 candidates can be appointed for President, Chief Executive Officer, Chief Operating Officer and Chief Finance Officer.
Number of Candidates=12
Number of Posts=4
As the order is important the number of ways are identified using Permutations given as
So the number of ways in which the candidates can be appointed on the executive posts are 11880.
Part b: Number of ways in which 12 candidates can be appointed as members of the planning committee.
Number of Candidates=12
Number of Posts=4
As the order is not important the number of ways are identified using Combinations given as
So the number of ways in which the candidates can be appointed as members of the planning committee are 495.
