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2 years ago

Which of the following rational functions is graphed below?

Mathematics

1 answer:

yawa3891 [41]2 years ago

8 0

Answer:

The answer is option A.

Step-by-step explanation:

In order to find the equation of the function, when the graph is already known to us in the question, we can use the various coordinates points through which the curve is passing from. The various Asymptotes of the graph can be used to find the expression in the denominator of the function.

So here the graph is of the form:

$y=1/((x-a)(x-b))$

Now when the value of x=-6 and x=6, we have the vertical asymptote, so at x=-6 and x=6 is where the vertical asymptotes lies.

Thus, we have a=6, b=-6.

And hence, the function whose graph is given will be

$y=\frac{1}{\left(x-6\right)\left(x+6\right)}$

which is given by option A.

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) An instructor gives his class a set of 18 problems with the information that the next quiz will consist of a random selection

RSB [31]

Answer:

The probability the he or she will answer correctly is 1.5%

Step-by-step explanation:

In all, there are 18 problems. In this question, the order of which the problems are sorted for the quiz makes no difference. For example, if the question A of the quiz is P1 and question B P2, and question A P2 and question B P1, it is the same thing.

There are 18 problems and 9 are going to be selected. So, there is going to be a combination of 9 elements from a set of 18 elements.

A combination of n elements from a set of m objects has the following formula:

$C_{(m,n)} = \frac{m!}{n!(m-n)!}$

In this question, m = 18, n = 9. So the total number of possibilities is:

$T_{p} = C_{(18,9)} = \frac{18!}{9!(18-9)!} = 48620$

Now we have to calculate the number of desired outcomes. This number is a combination of 9 elements from a set of 13 elements(13 is the number of problems that the student has figured out how to do).

Now, m = 13, n = 9. The number of desired possibilities is:

$D_{p} = C_{(13,9)} = \frac{13!}{9!(13-9)!} = 715$

The probability is the number of desired possibilities divided by the number of total possibilities. So

$P = \frac{715}{48620} = 0.015 = 1.5%$

The probability the he or she will answer correctly is 1.5%

3 0

3 years ago

In a poll of Mr. Briggs's math class, 67% of the students say that math is their favorite academic subject. The editor of the sc

levacccp [35]

Mathematics is the subject that is most popular in the class and is liked by the students.

<u>Explanation:</u>

Among all the subjects that are added in the curriculum of the students in the school, Mathematics is the subject that is mostly liked by the students in the class and in the school.

To find this that mathematics was the favorite subject of the students, a a survey was conducted by the school people in the class of a professor and through that survey it was shown that Mathematics was a subject that was mostly liked by all the students.

4 0

3 years ago

Is this set of ordered pAirs a function <br> (0,2) (3,3) (8,7) (2,2) (3,9)

diamong [38]

Answer:

No, not a function

Step-by-step explanation:

Functions cannot have two or more same domain and different range. (3,3) and (3,9) have same domain and different range.

5 0

3 years ago

Which graph shows that Cindy reads about of the time while riding in the car?

GarryVolchara [31]

Answer:

The 2nd

Step-by-step explanation:

It shows the denominator of 3/4

8 0

3 years ago

Sharon purchased a used car for $24,600. The car depreciates exponentially by 8% per

Tju [1.3M]

Answer:

The value of car after 5 years of exponentially depreciation is $16,213.36

Step-by-step explanation:

The initial amount of the car = i = $24,600

The depreciates rate of interest applied = r = 8%

Let The value of car after n years = A

The number of years = n = 5 years

Now,According to question

The value of car after n years = initial price of car × $(1-\dfrac{\textrm rate}{100})^{\textrm time}$

Or, The value of car after 5 years = i × $(1-\dfrac{\textrm r}{100})^{\textrm n}$

Or, $A = $24,600 × $(1-\dfrac{\textrm 8}{100})^{\textrm 5}$

Or, $A = $24,600 × $(0.92)^{5}$

Or, $A = $24,600 × 0.65908

Or, $A = $16,213.36

So, The value of car after 5 years = A = $16,213.36

Hence , The value of car after 5 years of exponentially depreciation is $16,213.36 . Answer

5 0

3 years ago

Which of the following rational functions is graphed below?​

Which of the following rational functions is graphed below?