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alina1380 [7]
3 years ago
7

Which of the following rational functions is graphed below?

Mathematics
1 answer:
Illusion [34]3 years ago
7 0

Answer:

A. f(x) = \frac{x-1}{x\cdot (x-3)}

Step-by-step explanation:

A rational-polynomic function is a function of the form:

f(x) = \frac{p(x)}{q(x)} (1)

There are three important remarks on this kind of function:

1)  p(x) = 0 when function passes through the x-axis.

2) If q(x) = 0, then the function f(x) has a vertical asymptote.

3) The horizontal asymptote is a linear function of the form y =  \lim_{x \to \pm \infty} f(x).

In accordance with the graph, the function has two vertical asymptotes at x = 0 and x = 3, numerator becomes zero for x = 1 and horizontal asymptote is y = 0 as grade of numerator is less than grade of denominator.

Hence, we conclude that rational function is f(x) = \frac{x-1}{x\cdot (x-3)}<em>. </em>(Correct answer: A)

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Officer Brimberry wrote 16 tickets for traffic violations last week, but only 2 tickets this week. What is the percent decrease?
Verdich [7]

Answer:

87.5%

Step-by-step explanation:

It decreased by 16 - 2 or 14, and since he wrote 16 tickets last week, the answer is 14/16 in percent form, or 7/8 = 87.5%.

6 0
2 years ago
Which of the following statements are correct? Select all that apply.
Marizza181 [45]
For a 7 sides polygon which is called heptagon or septagon
Interior angles = (7-2)*180/7 = 128.57°
Exterior angle = 180 - 128.57 = 51.43°
Central angle = 360/7 = 51.43°

The statements which are correct:

<span>3. The regular polygon ABCDEFG can be broken down into 2 isosceles trapezoids and 1 isosceles triangle
</span>
<span>5. The central angle of the polygon ABCDEFG is about 51.43° and each interior angle is about 128.57°
</span>
<span>7. The central angle ABCDEFG is the same measure of the exterior angle </span>
7 0
3 years ago
Read 2 more answers
12x15y=4140; x+y= ? <br> solve.
Semenov [28]

Answer: The number of $12 tickets and $15 sold are 120 and 180 respectively.

Step-by-step explanation:

The given equation is:

12x + 15y = 4140             .....(1)

Where,

x stands for $12 tickets and y stands for $15 tickets

According to the question:

x + y = 300           ....(2)

Now solving equation 1 and 2.

From equation 2:

x = 300 - y

Now putting this expression in equation 1.

12x + 15y = 4140

12(300 - y) + 15y = 4140

3600 - 12y + 15y = 4140

3600 + 3y = 4140

3y = 4140 - 3600

3y = 540

y = 180

And,

x = 300 - y = 300 - 180 = 120

The number of $12 tickets sold = x = 120

The number of $15 tickets sold = y = 180

Thus, the number of $12 tickets and $15 sold are 120 and 180 respectively.

4 0
2 years ago
Which of the following could be the equation for a parabola that opens down with the vertex (-11,-28)?
Mekhanik [1.2K]

Answer:y=-5(x+11)^2 -28

Step-by-step explanation: Okay think about what you know about translations and transformations of parent functions. In this case, the parent function is x2. So what now?

First, the problem states that the parabola opens DOWN. This means that you should look for a negative leading coefficient. This narrows your options down to C or D. (-5 is the leading coefficient)

Now starting with the x2, the vertex would be at (0,0), but in this problem it is at (-11,-28). That means it was TRANSLATED 11 spots in the negative x-direction and 28 spots in the negative y-direction.

Look at your options, when a number is being added directly unto the x variable, such as in answer C, it moves in the negative x-direction. This tells you that C has to be your answer.

I hope that helps!

8 0
3 years ago
What's a line segment ray in ur OWN words<br> If it's from Go.ogle ur answer will be deleted
kvasek [131]

Answer:

a line segment is an object with two endpoints , a ray is a  part of a line that has no fixed starting point

Step-by-step explanation:

4 0
2 years ago
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