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3 years ago

The graph shown here is the graph of which rational function

Mathematics

2 answers:

Whitepunk [10]3 years ago

6 0

This is the graph of 1/x moved 4 units to the left

so its f(x) = 1 / (x + 4)

C

Leto [7]3 years ago

4 0

Answer:

The correct option is C.

Step-by-step explanation:

The parent rational function is defined as

$g(x)=\frac{1}{x}$

Where x=0 is a vertical asymptote of the function.

If vertical asmptote of a ration function is x=a, then the rational function is defined as

$y=\frac{1}{x-a}$

From the given graph it is clear that the vertical asypmtote of the function is x=-4. It means the given function is not defined for x=-4. So, the required function is

$F(x)=\frac{1}{x-(-4)}$

$F(x)=\frac{1}{x+4}$

Therefore the correct option is C.

You might be interested in

A standard American Eskimo dog has a mean weight of 30 pounds with a standard deviation of 2 pounds. Assuming the weights of sta

lions [1.4K]

Answer:

Approximately 24–36 pounds

Step-by-step explanation:

Given:

Weight of standard American Eskimo dog has mean= 30 pounds

A standard deviation= 2 pounds

For 99.7% of the dogs according to normal distribution would lie between 3 standard deviations on either side of the mean.

i.e. lower bound= Mean- 3 (standard deviation)

= 30-3(2)

=30-6

=24

Upper bound = Mean +3 (standard deviation)

= 30+3(2)

=30+6

=36

Hence the range of weights : 24-36 pounds

correct answer Approximately 24–36 pounds!

4 0

3 years ago

Given the arithmetic sequence an = 4 − 3(n − 1), what is the domain for n? All integers where n ≥ 1 All integers where n > 1

krok68 [10]

All integers where n ≥ 1.

We have given that the sequence,

$a_{n} =4-3(n-1)$

We have to find the domain for n.

<h3>What is the meaning of arithmetic sequence?</h3>

Arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. Difference here means the second minus the first.

That is, $a_{n} =a+(n-1)d$

where a = first term of sequence.

d =common difference.

n =number of terms which belongs to natural numbers

By the definition of arithmetic sequence n starts with 1

Remember that,the natural number starts with 1

Now, in given sequence for nth term

$a_{n} =4-3(n-1)$

The domain for n is All integers where n ≥ 1.

To learn more about the arithmetic sequence visit:

brainly.com/question/20118982

4 0

2 years ago

-15 Assignment<br> 5x2=<br> 3

vladimir2022 [97]

Not really sure what you’re saying; but 5x2=10

6 0

2 years ago

Help! will give brainlist!

slega [8]

Answer:

117.5

Step-by-step explanation:

y= 3.5x + 30, where x = his number of toys sold

y= 3.5(25) + 30

y= 117.5

5 0

3 years ago

in these triangles, side AB is congruent to side DF, and side BC is congruent to side FG. Determine the values of x and y

vlada-n [284]

I added a screenshot with the complete question

Answer:
x = 3
y = 9

Explanation:
1- getting the value of x:
We are given that:
side AB is congruent to side DF. This means that:
AB = DF
3(2x+10) = 12x + 12
6x + 30 = 12x + 12
12x - 6x = 30 - 12
6x = 18
x = 18/6
x = 3

2- getting the value of y:
We are given that:
side BC is congruent to side FG. This means that:
BC = FG
2y + 12 = 2(2y-3)
2y + 12 = 4y - 6
4y - 2y = 12 + 6
2y = 18
y = 18/2
y = 9

Hope this helps :)

5 0

3 years ago