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Dmitrij [34]
2 years ago
12

What are the vertical and horizontal asymptotes for the function f (x) = StartFraction 3 x squared Over x squared minus 4 EndFra

ction?

Mathematics
2 answers:
NISA [10]2 years ago
7 0

Answer:

The vertical asymptotes are x = 2 and x =  -2.

The horizontal asymptote is y = 3.

Step-by-step explanation:

Given the function

f(x)=\dfrac{3x^2}{x^2-4}

Rewrite it as follows:

f(x)\\ \\=\dfrac{3x^2}{x^2-4}\\ \\=3\dfrac{x^2-4+4}{x^2-4}\\ \\=3\left(1+\dfrac{4}{x^2-4}\right)\\ \\=3+\dfrac{12}{(x-2)(x+2)}

This function is undefined when the denominator is equal to 0. The denominator is equal to 0 when x = 2 or x = -2, so two vertical asymptotes are x = 2 and x =  -2.

The horizontal asymptote is y = 3.

Marrrta [24]2 years ago
6 0

Answer:

A

Step-by-step explanation:

Its the first one on edgeniuty (trash website)

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Each of three colored cups covers one of three objects. 1) The red cup is somewhere to the left of the white cup. 2) The coin is
yulyashka [42]

Answer:

Shell is under Red color cup

Step-by-step explanation:

We have 3 cups and 3 objects which they cover under them.

Taking into consideration (4) and (2) as they both describe the position related to bean

(4) Gray cup  →Bean (right)     (2) coin ← bean (left)  

that means coin can either under Gray cup or left to gray cup.

Now

(1) Red ← White (left)  (3) Shell → Gray  (right)

This means if we consider coin to be left of gray cup then we can't place shell to the left of gray cup as required in (3)

so coin will be under gray cup

on forming the Color of cups and the coin below them

C1             C2         C3

Red       Gray      White

 __           __          __

Shell        coin        Bean

So Shell is under Red color cup

6 0
2 years ago
En una cancha se va a pintar la circunferencia central que tiene un diámetro de 5 m .¿cual es la longitud de la circunferencia?
Alona [7]

Answer:

The length of the circumference is 5\pi\ m  or 15.70\ m

Step-by-step explanation:

<u><em>The question in English is</em></u>

On a court, the central circumference will be painted, which has a diameter of 5 m. What is the length of the circumference?

we know that

The circumference of a circle is given by the formula

C=\pi D

we have

D=5\ m

substitute

C=\pi (5)\\C=5\pi\ m

This is the exact value

assume

\pi=3.24

C=5(3.14)=15.70\ m

4 0
2 years ago
Nathan wants to use coordinate geometry to prove that the opposite sides of a rectangle are congruent. He places parallelogram A
Fynjy0 [20]
The formula used to find the length of a line segment is the same formula as the Pythagoras theorem.

We take CD as the hypotenuse of the right-angled triangle and the distance between the x-coordinates and y-coordinates as the length of two short sides.

We can write the formula as
CD = \sqrt{( x_{1}- x_{0})  ^{2}+ ( y_{1}- y_{0})  ^{2}  }
CD = \sqrt{(a-0)^{2}+ (b-b)^{2}  }

7 0
2 years ago
Read 2 more answers
A bag of trail mix weighs 1.625 pounds round 1.625 to the nearest hundredths
Andrew [12]
If you round 1.625 pounds to nearest hundredths its 1.63 pounds.
7 0
2 years ago
Carmen is planning rail lines for a new train station. Help her find m1. Explain how you found  that solution.
Usimov [2.4K]
I added a screenshot with the complete question along with its diagram

<u><em>Answer:</em></u>
∠1 = 163°

<u><em>Explanation:</em></u>
<u>1- getting angle 2:</u>
We know that ∠2 and the 17° form a straight angle. This means that their sum is 180°.
Therefore:
180 = 17 + ∠2
∠2 = 180 - 17
∠2 = 163°

<u>2- getting angle 1:</u>
We are given that lines a and b are parallel.
This means that ∠1 and ∠2 are alternating angles which means that they are equal in measurement.
We have calculated that ∠2 = 163°
This means that:
∠1 = 163°

Hope this helps :)

3 0
2 years ago
Read 2 more answers
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