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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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Can u help idk how to write it ?
d1i1m1o1n [39]
You are given Maggie's planning on going to Penn State University. You are also given that she could live there if she has more than $2,000 if she already bought a laptop at $450.

For part A, the inequality that we can form is x ≥ 2,450 because she needs more than $2,000 to survive after buying a $450 dollar worth laptop. Adding the two makes it 2,450.

For part B, if she has to withdraw $30 per week, then the inequality that we can form is x ≥ 2,450 - 30

For part C,
30x ≥ 2,000 
x ≥ 66.67

For part D, the answer 66.67 means that Maggie can have 66 times to withdraw $30 per week worth of food from her balance $2000.

8 0
3 years ago
A blimp provides aerial television views of a tennis game. The television camera sights the stadium at a 17degrees angle of depr
BaLLatris [955]

Answer:

1379.31meters  is the​ line-of-sight distance from the television camera to the base of the stadium​ .

Step-by-step explanation:

As given

A blimp provides aerial television views of a tennis game.

The television camera sights the stadium at a 17degrees angle of depression. The altitude of the blimp is 400m.

Now by using the trignometric identity .

sin\theta = \frac{Perpendicular}{Hypotenuse}

As the figure is given below .

Perpendicular = AC = 400 m

Hypotenuse = AB

\theta = 17^{\circ}

Putting all the values in the identity .

sin17^{\circ} = \frac{400}{AB}

0.29\ (Approx)= \frac{400}{AB}

AB= \frac{400}{0.29}

AB = 1379.31 meters

Therefore the 1379.31 meters  is the​ line-of-sight distance from the television camera to the base of the stadium​ .

3 0
3 years ago
What is the slope-intercept form of the equation of the line containing the points (−2, 4) and (6, 0)?
Nikolay [14]

The slope-intercept form of the equation of the line containing the points (−2, 4) and (6, 0) will be y =0.5 x+ 5.

<h3>What is the slope?</h3>

A numerical assessment of a line's angle relative to the ground is known as the slope.

The inclination of any line, ray, or line segment is the fraction of the perpendicular to the horizontal distance between any two positions on it.

The slope of the line is found as;

\rm m = \frac{y_2-y_1}{x_2-x_1} \\\\ m = \frac{0-4}{6-(-2)} \\\\ m = \frac{-4}{8} \\\\ m = \frac{-1}{2}

The standard line equation is;

y-y₁=m(x-x₁)

\rm y-4= \frac{-1}{2}(x-(-2)) \\\\ 2y-8 = x+2 \\\\ 2y =x+10 \\\\ y = 0.5 x + 5

Hence, the slope-intercept form of the equation of the line containing the points (−2, 4) and (6, 0) will be y =0.5 x+ 5.

To learn more about the slope, refer to the link;

brainly.com/question/3605446

#SPJ1

6 0
2 years ago
How do I find the Q1 and Q3?<br><br> 0,0,1,2,2,3,4,4,4,4,5,6,6,7,7
Angelina_Jolie [31]

Answer:

Q1 = 2

Q3 = 6

Step-by-step explanation:

Mathematically, we have

Q1 = (n + 1)/4 th term

where n is the number of terms

By the count, we have n as 15

Q1 = (15 + 1)/4

Q1 = 4th term

Looking at the arrangement, the 4th term is 2

For Q3

Q3 = 3(n + 1)/4 th term

n = 15

Q3 = 3 * 4 = 12th term

The 12th term is 6

So that is the 3rd quartile

5 0
3 years ago
I could use some help , i really cant do geometry :(
Gelneren [198K]

Answer:

I am not sure but for

CAE it is 65˚

CBD it is 65˚

Step-by-step explanation:

x+40=3x-10

Move the 3x to the other side by subtracting by 3x on both sides

x-3x+40=3x-3x-10

The equation now looks like this:

-2x+40=-10

Move 40 to the other side by subtracting 40 both sides:

-2x+40-40=-10-40

-2x=-50

Divide by -2 on both sides:

-2x/-2=-50/-2

x=25

Since we found out what x is we can replace x in both CAE and CBD:

For CBD: 25+40 is 65

For CAE: 3(25)-10 is 65

5 0
3 years ago
Read 2 more answers
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