find the vertical asymptote(s) of f(x)=x2+3x+6/x2-4

Answers

Answer 1

Answer:

x=-2, 2

Step-by-step explanation:

Aighty check this out

[tex]f(x) = \frac{ {x}^{2} + 3x + 6 }{ {x}^{2} - 4 } = = = > \\(x + 2)(x - 2) \\ so \: x = - 2 \: and \: x = 2 \: are \: not \: defined \: \\ and \: are \: the \: candidates [/tex]

if non of the root give out 0/0 both can be the asymptotes:

[tex]f(2) = \frac{{2}^{2} + 3(2) + 6 }{ { - 2}^{2} + 4 } = = = > \\ f(2) = \frac{16}{0} [/tex]

this one is OK

[tex]f( - 2) = \frac{ { - 2}^{2} + 3( - 2) + 6}{ { - 2}^{2} + 4 } = = = > \\ f( - 2) = \frac{4}{0} [/tex]

so is this one

so the asymptotes are x=-2, 2


Related Questions

If the points at (-4, 3) and (2, 3) are reflected over the x-axis to create two new points, what shape can be formed by the four points? Select the most precise description of the shape.



square
rectangle
triangle
trapezoid

Answers

Answer:

square

Step-by-step explanation:

what is the value of a + b(4c + 2a)?

Answers

Answer:

Step-by-step explanation:

You can't find an exact value, but you can find an simpler expression by using the distributive property.

a + 4bc + 2ab

And that is as much as it can be reduced.

what is the formula of volume

Answers

Answer:

length × width × height.

Step-by-step explanation:

Answer:

length × width × height

Step-by-step explanation:

That is the standard formula for a rectangular shape

Christina earned $510 working part-time at the movie theater. Of her paycheck, 1/ 4 pays for car insurance, 1/ 3 for gas, and 20% for miscellaneous expenses. The remaining amount of her paycheck is divided equally for entertainment and savings. How much does Christina spend each month on entertainment?

Answers

Answer:

$55.15

Step-by-step explanation:

1/4 of 510 = 127.5

1/3 of 510 = 170

20% of 510 = 102

510-(127.7+102+170)=510-399.7=110.3

110.3/2=55.15

hope this helps

Plz help due tomorrow

Answers

Answer:

A) x is greater than or equal to 4.50

Step-by-step explanation:

the price has to be at least 4.50 so it could be 4.50 or it could be greater than 4.50. Hope this helped.

How would I solve this?

Answers

Answer:

2.74747741945462

Step-by-step explanation:

i know its long but i think it is correct!:)

what is not a composite number out of 2 4 6 8

Answers

Answer:

2

Step-by-step explanation:

2 has the factors 2 and 1 while the others have:

4- 4, 2,1

6- 6, 3, 2, 1

8- 8, 4, 2, 1

Round the 136.501 to the whole number.​

Answers

Answer:

137

Step-by-step explanation:

137 because when it's .5 or higher you round up

Three rabbits can eat five carrots in four minutes. How long does it take four rabbits to eat 15 carrots?

Answers

Answer:

12

Step-by-step explanation:

15/5=3

3x4=12

Convert the following fraction to a decimal.
23/99

Answers

Answer:

23/99 as a decimal is 0.23232323232323.

Step-by-step explanation:

In fractions, the numerator is the number above the line and the denominator is the number below.

The line in a fraction that separates the numerator and the denominator represents division.

To convert a fraction to a decimal, divide the numerator by the denominator.

Herbert is decorating the bulletin board at school.The bulletin board is 7 ft by 11 ft.He decides to add a black border.What is the length of the border needed?

Answers

Answer:

36 feets

Step-by-step explanation:

The dimension of bulletin board = 7 feets by 11 feets

Bulletin boards are shaped as a rectangle :

To add a black border ; two of the sides will be of length 7 feets (length) while the other 2 will be of 11 feets (width) each or vice-versa

However, total Lenght of black border :

(11 * 2) + (7 * 2)

22 + 14

= 36 feets

In a pet store,the ratio of dogs to cats is 3 to 2. if there are 15 dogs, how many cats are there at the pet store? NEED HELP ASAP

Answers

Answer:

10 cats

Step-by-step explanation:

dogs:cats = 3:2=15:x

3x=15.2

3x=30

x=10 cats

since the ratio is 3:2, you can set up your equation like 3/2 = 15/x. then cross multiply and that will get you 30 = 3x and x will equal 10. this means that there are 10 cats and 15 dogs. hope that helps!

What is m = -13/6.5 simplified?

Answers

The answer is -2. Hope this helps

What is a perfect square? Why is [tex]x^{2} + 8x +16[/tex] a perfect square?

Answers

Answer:

It is a perfect square. Explanation below.

Explanation:

Perfect squares are of the form

(

a

+

b

)

2

=

a

2

+

2

a

b

+

b

2

. In polynomials of x, the a-term is always x.(

(

x

+

c

)

2

=

x

2

+

2

c

x

+

c

2

)

x

2

+

8

x

+

16

is the given trinomial. Notice that the first term and the constant are both perfect squares:

x

2

is the square of x and 16 is the square of 4.

So we find that the first and last terms correspond to our expansion. Now we must check if the middle term,

8

x

is of the form

2

c

x

.

The middle term is twice the constant times x, so it is

2

×

4

×

x

=

8

x

.

Okay, we found out that the trinomial is of the form

(

x

+

c

)

2

, where

x

=

x

and

c

=

4

.

Let us rewrite it as

x

2

+

8

x

+

16

=

(

x

+

4

)

2

. Now we can say it is a perfect square, as it is the square of

(

x

+

4

)

.

PLEASE HELP ASAP!
Triangle CAT has vertices C (2,3), A(-2,6) and T(-1,-4). A translation maps the point A to A' (-1,4). What are the coordinates of C' under this translation?
A. (1, -3)
B. (3, 1)
C. (1, 8)
D. (-8, 1)

Answers

you add 1 and subtracted 2

so 2 + 1 = 3

3 - 2 = 1

answer: b. (3, 1)

100 POINTS IF YOU HELP MEE !! AND ILL GIVE BRAINLISTT !! Complete each statement with the number used to create an equivalent fraction. Multiply to by in both the numerator and denominator to get Multiply { by in both the numerator and denominator to get 16 Multiply by in both the numerator and denominator to get 24 Multiply 1 by in both the numerator and denominator to get 16

Answers

Answer:

Step-by-step explanation:

8/8     5/5

Calculate the value of this expression by writing the decimal factors as fractions, then writing their product as a decimal. Show your reasoning. (0.3)⋅(0.2)

Answers

Answer:

(3/10)(2/10) = 6/100 = 0.06

Write the coefficients of:
xin 3xy + 8y - Oy
(11) 5 in 61-57'n + 8p
(ii) z'in 3xy +42-64
(iv) yz in 3x - 5yx​

Answers

Step-by-step explanation:

Here x coefficients are 3y + 8y - OyHere 5 coefficients are 61-7'n + 8pHere z coefficients are 0Here yz coefficients are 0

Write the equations of the line that passes through the point 4,3) and is perpendicular to the line y=2x−4 . Write the equation in slope-intercept form.

Answers

Answer:

        y = -¹/₂x + 5

Step-by-step explanation:

The product of slopes of perpendicular lines is -1

y = 2x − 4  ⇒   m₁ = 2

m₁m₂ = -1

2m₂ = -1

m₂ = -¹/₂

The Point-Slope form of equation of a line with slope of "m" and passing through point (x₁, y₁) is:  y - y₁ = m(x - x₁)

m = -¹/₂

(4, 3)  ⇒  x₁ = 4,  y₁ = 3

So the equation in point-slope form:

                                                  y - 3 = -¹/₂(x - 4)

Therefore:

y - 3 = -¹/₂x + 2

y = -¹/₂x + 2 + 3

y = -¹/₂x + 5



You rent a canoe for $4.50 per hour. Your cost before the tax is added is $18. Write an equation to find the number of hours H that you retend the canoe

Answers

Answer:

total cost = cost/hour x hours

$18.00 = ($4.50)(X hours)

X=4 hours

Step-by-step explanation:

total cost = cost/hour x hours

$18.00 / 4.50=4 hours

Hi please I need answer.I will make brainliest who can answer this.Thank youuu​

Answers

9514 1404 393

Answer:

  (0, 0) 2, 4, 5

  (-1, -1) 1, 2, 4, 5

  (2, -1) 1, 2, 4, 5

  (-2, 2) 2, 4

Step-by-step explanation:

The graph shows the solution sets of the inequalities. Each inequality is graphed in a different color to aid identification of the solution areas.

The purple area, x + 3y ≥ 6, does not contain any of the given points.

The inequalities satisfied by the given points are listed above.

Which graph represents a proportional relationship? (quickly please :)​

Answers

Answer:

the first one

Step-by-step explanation:

a proportional graph has to go through the origin (0,0) and the first one is the only one that does

A bricklayer lays 1200 bricks in an average 8-hour day. How many bricks does he lay in a 40-hour week?

Answers

The answer is 6000 bricks.
40/8=5
5*1200=6000

The number of bricks that the bricklayer can lay in a 40-hour week is 6000 bricks.

Let the number of bricks that the bricklayer can lay in a 40-hour week be represented by x.

Based on the information given in the question, the equation to solve the question will be:

8/40 = 1200/x

Cross multiply

8 × x = 1200 × 40

x = (1200 × 40) / 8

x = 1200 × 5

x = 6000

Therefore, the number of bricks that the bricklayer can lay in a 40-hour week is 6000 bricks.

Read related link on:

https://brainly.com/question/18448466

(2a^(3)-a^(2)b)/(36b^(2))-:(2a-b)/(9b^(2))


Domain?

Answers

-3a3b - 40a2b2 + 8a2 - 30ab3 - 28ab - 36b2

                     4    

i looked it up

Expanded form of 5*10^-9​

Answers

Answer:

5,000 + 300 + 20 + 5 = 5,325

Step-by-step explanation:

PLS HELPPPP I NEED THIS GRADE PLSSSSS...The length of yarn needed to knit one hat is half the length of yarn that is needed to knit a scarf. It takes three times as much yarn to knit a
child's sweater as it does to knit one hat.
a. If It takes 400 yards of yarn to knit a scarf, how much yarn is needed to knit a child's sweater? Use tape diagrams and equations to solve
the problem. Use paper to show your work. Let h represent the number of yards of yarn needed to knit a hat.
It will take yards of yarn to knit a child's sweater.
b. How many total yards of yarn will be needed to knit a hat, a scarf, and a child's sweater?
It will take yards of yarn to knit a hat, a scarf, and a child's sweater

Answers

Answer:

A: 2,400 yards is needed for the child's sweater

you would take 400*2 to get the amount of yarn for the hat (800)take 800 (value of the hat) * 3 (the sweater uses three times as much yarn than the hat) = 2,400.

B: HAT: 800 yards

   SCARF: 400 yards

   SWEATER: 2,400 yards

we already have all of the values present from the first part of the problem, so we would just plug those in for the correct thing.

Step-by-step explanation:

i really hope this helped! if it did please give me brainliest.

PLS PLS PLS PLS HELP ME
Exponents work the same way on bases that are _[blank A]_ as they do on bases that are numbers.

When a variable has an exponent, the exponent tells you how many times the variable is _[blank B]_ by itself.

In order to make a negative exponent positive, you must take the _[blank C]_ of the base.

A variable raised to the power of _[blank D]_ is always equal to 1.

Match each blank with the correct item that fills in that blank.

multiplied
0
exponents
reciprocal
1
added
variables
opposite

Answers

A - variables

B - multiplied

C - reciprocal?

D - 0

//

I'm not too sure about C. it can either be the reciprocal or the opposite.

please help explain how u got the answer marking brainlist giving all my points 200 points

Answers

Answer:

v = -35

Step-by-step explanation:

-4 -31= -35 which leaves V. so v=-35

Answer:

I think that  the is -27

Step-by-step explanation: 32 - (-27) = -4

Determine the slope and the y-intercept: y = 3x - 1

Answers

Answer:

Slope is 3

y - intercept is -1

Answer:

slope = 3, y- intercept is - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 1 ← is in slope- intercept form

with slope m = 3 and y- intercept c = - 1

Mr. Evans rides his bicycle an average speed of 8 km/hr. How far has he
traveled if he rides 4 hours?​

Answers

Multiply 8km/h by 4h. You will get 32 km
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