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Airida [17]
2 years ago
9

The graph shown here is the graph of which of the following rational functions?

Mathematics
1 answer:
Igoryamba2 years ago
7 0

Considering it's asymptotes, the rational function shown in the graph is:

C. F(x) = \frac{1}{(x + 2)(x - 1)}

<h3>What are the asymptotes of a function f(x)?</h3>

  • The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
  • The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

In this graph, there are vertical asymptotes at x = -2 and x = 1, hence the denominator of the function is:

(x + 2)(x - 1).

The horizontal asymptote is of y = 0, hence the function can be given by:

C. F(x) = \frac{1}{(x + 2)(x - 1)}

More can be learned about rational functions and asymptotes at brainly.com/question/24410059

#SPJ1

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Mary is twice as old as Helen’s age, If 8 is subtracted from Helen’s Age and 4 is added to Mary Age? Mary will be 4 times as old
erik [133]

Answer:

set mary is x years old, and helen is y years old.

first sentence:x=2y

second one:4(y-8)=x+4

bring x=2y in 4(y-8)=x+4

=>4y-32=2y+4

=>2y=36

=>y=18

=>x=36

mary:36

helen:18

3 0
3 years ago
Which of the following is the vertex of the equation \large x^2-2x=-5 ?
Lelu [443]
I think it’s C but I’m not too sure
8 0
3 years ago
Worth all my points plus brainliest!!! Due in 4 hrs 1-11
SVETLANKA909090 [29]

Answer:

1. 15

2. -8/9

3. 5

4. 7

5. a = 20

6. n = 100

7. 3.6 x 10^1

8. 3

9. 4

10. 8.37 x 10^5

11. 6.67 x 10^3

8 0
3 years ago
Which number line represents the solutions to 1-2x1 = 4?
kaheart [24]

Answer:

Third option: x = -2 and x = 2

Step-by-step explanation:

Given:

|-2x|=4

For a modulus function, if |f(x)|=a, then,

f(x)=\pm a

Here, f(x)=-2x, a=4

∴ -2x=\pm 4\\ -2x=-4\textrm{ or } -2x=4\\ x=\frac{-4}{-2}\textrm{ or }x=\frac{4}{-2}\\ x= 2\textrm{ or }x=-2

Therefore, the third option is the correct answer as the graph has x values as -2 and 2

8 0
3 years ago
2y-x=6 and y=2x+7 graphed equals how many solutions​
zhannawk [14.2K]

Answer:

One solution

<em>BRAINLIEST, PLEASE!</em>

Step-by-step explanation:

2y - x = 6

2y = x + 6

y = x/2 + 3

y = 2x + 7

After graphing, they have one solution at (-2.667, 1.667).

8 0
2 years ago
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