How do you know if the graph has a hole or vertical asymptote?

Answers

Answer 1

A hole in a graph appears as a break in the graph line, while a vertical asymptote appears as a line segment that the graph approaches but never crosses.

A hole in a graph appears as a break in the graph line; it's the point where the graph does not exist. Typically, the x-value of this point is the x-coordinate of the hole. To find out if there is a hole, you need to see if the graph is continuous and check to see if there is a break in the graph line.A vertical asymptote appears as a line segment that the graph approaches but never crosses. This occurs when the function value approaches positive or negative infinity. To find out if there is a vertical asymptote, you need to look at the function and see if it is undefined at any particular x-value. If it is, then there is a vertical asymptote.

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Related Questions

POSSIBLE POINTS 6.67
Jacob made two trips to the store. On his first trip to the store, he
bought x kitchen towels for $3 each and y dishcloths for $2 each and spent
a total of $32. On his second trip to the store, he bought x oven mitts for $5
each and returned the y dishcloths he bought on the first trip. He was
refunded the money for the dishcloths and still spent $32. The system of
equations shown below represents the amounts, in dollars, he spent on the
two trips to the store.
3x + 2y = 32
5x - 2y = 32
How many kitchen towels and dishcloths did Jacob buy on his first trip to the
store?
o 10 kitchen towels and 4 dishcloths
o 4 kitchen towels and 10 dishcloths
04 kitchen towels and 8 dishcloths
8 kitchen towels and 4 dishcloths

Answers

Answer:

8 kitchen towels and 4 dishcloths!

Step-by-step explanation:

first equation is 3x + 2y = 32

second equation is 5x - 2y = 32

add the two equations together to get 8x = 64

solve for x to get x = 64 / 8 = 8

replace x with 8 in the first equation to get 24 + 2y = 32  

solve for y to get y = 8/2 = 4

you have x = 8 and y = 4

first equation becomes 24 + 8 = 32

second equation becomes 40 - 8 = 32

the solution checks out ok.

solution is x = 8 and y = 2 which means he bought 8 kitchen towels and 4 dishcloths on his first trip.

9
The total cost of attending a state college is $10,280
for the first year.
Bella's grandparents will pay one-fourth of this cost.
Bella will receive an academic scholarship that will pay
another $4,000.
Which amount is closest to the minimum that Bella will need to
save every month in order to pay off the remaining cost at the
end of 12 months?
A
$297.50
B
$309.16
с
$547.50
D
$214.17
o 2020 Kraus Math LLC. Alrights reserved

Answers

Answer:

B

Step-by-step explanation:

Because my teacher gave us the answer.

What is the area? pleaseee helppppp

Answers

Answer:

A = 12 sq in

Step-by-step explanation:

A = bh/2

A = 6(4)/2

A = 12

3V3
х
60°
Find the values of x and y. Write your answers in simplest form.
X=
y=

Answers

Answer:

X=3

y=6

Step-by-step explanation:

[tex]tan60=\sqrt{3}=\frac{3\sqrt{3} }{x} \\\\x=3[/tex]

-----------

[tex]sin60=\frac{\sqrt{3} }{2} =\frac{3\sqrt{3} }{y} \\\\y=6[/tex]

hope it helps...

have a great day!!

-9 + 10m = -5 + 6 solve for m

Answers

Answer:

m = 1

Step-by-step explanation:

-9 + 10m = -5 + 6

-9 + 10m = 1

10m = 1 + 9

10m = 10

m = 1

X = y - 3
2x + y = 12
pls hurry i need badly

Answers

[tex] \huge \colorbox{yellow}{Question}[/tex]

[tex]x = y - 3[/tex]

[tex]2x + y = 12[/tex]

[tex] \huge \colorbox{yellow}{Answer}[/tex]

[tex]x = y - 3 \: (equation \: 1)[/tex]

[tex]2x + y = 12 \: (equation \: 2)[/tex]

Substituting the value of x in

( equation 2)

[tex]2x + y = 12[/tex]

[tex]2(y - 3) + y = 12[/tex]

[tex]2y - 6 + y = 12[/tex]

[tex]2y + y = 12 + 6[/tex]

[tex]3y = 18[/tex]

[tex]y = 18 \div 3[/tex]

[tex]y = 6[/tex]

Now we get y = 6

Substituting the value of y in

( equation 1 )

[tex]x = y - 3[/tex]

[tex]x = 6 - 3[/tex]

[tex]x = 3[/tex]

Now we get x = 3

[tex] \huge \mathsf\red{Final \: Answer}[/tex]

y = 6

x = 3

How many cubic feet of water are in the pool?

Answers

Answer:

It depends on the size of the

Step-by-step explanation:

Like the width ,length and all that

give me the size of the pool and will assist

Depends of the size of the pool

In the equation 3x - 9 = 3, what is the first step we should do?

Answers

Anse

draw the line down the equal sign

Step-by-step explanation:

Answer:

Step-by-step explanation:

add 9 to both and then cancel out both 9s and add 3 and 9 together

A right triangle has legs that are 5 cm and 7 cm long what is the length of the hypotenuse

1.√12
2.√24
3.√74
4.√144

Answers

Answer:

3. 74

Step-by-step explanation:

The pythagorean theorem states that A^2 + B^2 = C^2 (with c being the hypotenuse). So to figure it out we can substitute into the equation.

5^2 = 25

7^2 = 49

25 + 49 = 74

So it would be the square root of 79. I hope this helps! :)

The length of the hypotenuse side of a triangle is √74. Therefore, the correct answer is option 3.

What is the Pythagoras theorem?

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Given that, a right triangle has legs that are 5 cm and 7 cm long.

Let the length of the hypotenuse side be x.

Now, x²=5²+7²

x²=25+49

x²=74

x=√74 units

Therefore, option 3 is the correct answer.

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Find H
Need help please!!!!

Answers

Answer:

16

Step-by-step explanation:

use the acroname sohcahtoa

sin 60=83/h

sin60=0.8660 while 8√3=13.8564

divide both side by 0.8660

0.8660/0.8660=13.8564/0.8660

h=16.0

Answer:

I think the answer would be X= 7.9999999999 .

Y= 15.9999999999

Step-by-step explanation:

Tan 60 = Rad 192 / X

X= 7.9999999999

Y = 15.9999999999

Hope it was helpful ^^ Good luck .

reggie picked 72 flowers he wants to split them up and give an equal number of flowers to his aunts how many flowers will each aunt receive?

Answers

Answer:

?

Step-by-step explanation:

Without knowing number of aunts how can we split?

Or I don't understand the question , Anyone can solve ??

john is placing cement tiles for a patio in a rectangle surrounding a rectangular fire pit. The fire pit has a width of x ft and a length that is 5 times the width. The entire patio is 6ft wider and 19 ft longer than the fire pit. What is the area that he will need to buy tiles for?

Answers

Answer:

49x + 114

Step-by-step explanation:

[   [ fireplace ] x   = area of 5[tex]x^{2}[/tex]                   ]  x + 6

     5x

   patio               = area of 5[tex]x^{2}[/tex] + 49x + 114

5x + 19

 

(5x + 19) ( x + 6) = 5[tex]x^{2}[/tex] + 19x + 30x + 114

(5[tex]x^{2}[/tex] + 49x + 114)                     -   (5[tex]x^{2}[/tex] )                         =           49x + 114

(area of patio and fireplace) - (area of fireplace)     =       (area of patio only)

Which of the following is equal to 49x2−81?


(7x−9)2

(x+9)(x−9)

(7x+9)(7x−9)

(7x+9)2

Answers

Answer:

2

Step-by-step explanation:

What is X equal to in this problem?

Answers

Answer:

28 degrees

Step-by-step explanation:

What is the formula for the area of a circle?
O A. A = 727
O B. A = 20
O C. A = terd
O D. A = 2

Answers

D) A=pi(r)^2 is the answer

Sal is tiling his entryway. The floor plan is drawn on a unit grid. Each unit length represents 1 foot. Tile costs $2.15 per square foot. How much will Sal pay to tile his entryway? Round your answer to the nearest cent.

Answers

*see attachement for diagram

Answer:

Sal would pay $93.53 to tile his entryway.

Step-by-step explanation:

Given:

1 unit = 1 foot

Tile cost = $2.15 per square foot

To find how much will lay to tile the entry way represented on the grid in the image below, we have to find the area of the entryway he wants to tile.

The entry way can be decomposed into a trapezoid and a parallelogram. The upper shape form the middle is a trapezoid while the down part from the middle is a parallelogram.

✔️Area of the trapezoid = ½(a + b)*h

Where,

a = 7 ft

b = 4 ft

h = 5 ft

Area of the trapezoid = ½(7 + 4)*5

= ½(11)*5

= 27.5 ft²

✔️Area of the parallelogram = b*h

b = 4 ft

h = 4ft

Area of the parallelogram = 4*4 = 16 ft²

✔️Total area of the entryway to be tiled = 27.5 + 16 = 43.5 ft²

✅Cost to tile 1 ft² = $2.15

Therefore, cost to tile 43.5 ft² = 2.15*43.5 = 93.525 ≈ $93.53

✅Sal would pay $93.53 to tile his entryway.

HELP PLEASE I DONT KNOW WHAT TO DO

Answers

Answer:

5, -10, 10

Step-by-step explanation:

a “step“ can’t be negative so we can say that we move twice to left 5 spaces

a positive number multiplied by a negative number gives as result a negative number. In this case -10

the opposite of a number is the same number in absolute value with a opposite sign. In this case 10

hello please help thanks

Answers

Answer: 2 one

Step-by-step explanation:

Answer:

last one

Step-by-step explanation:

Sinkholes are cavities in the ground that form when water erodes an underlying rock layer.

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!

Answers

Answer:

hello

Step-by-step explanation:

yeah

Answer:

F= 42

C= 48

A= 48

B= 132

D= 132

Step-by-step explanation:

What is the equation of this

Answers

Answer:

it's correct

Step-by-step explanation:

Chris works at a tire store. Chris can change a tire on a rim in 8 to 12 min, with all times
in between equally likely.
a) What is a probability that Chris changes a given tire in less than 9 min?
b) What is the probability that it takes between 9 min and 11.5 min?
c) What is the probability that it takes exactly 10 min?

Answers

Answer:

8 because I just guess 8

Step-by-step explanation:

because I that's all you need to know

find the area of this figure.

Answers

Answer:

it is 285 ...cause you should multiply 15 by 17 and add 19 and 11 .. it is 285

a person who is at least 65 years old is considered a senior citizen write an inequality that represents this situation. Let a represent the persons age​

Answers

a >/= 65
A is greater than or equal to 65 (sometimes the symbols don’t show up correctly)

PLEASEEE HELLP. I NEED HELP PLS

Answers

Answer:

C

Step-by-step explanation:

Triangle = 180

100+62.7+18=180.7

180.7 is not a triangle

Answer:

C     100.3, 62.7, 18

Step-by-step explanation:

Angles inside of a triangle add up to 180 degrees

Option A

25+85+70=180

Option B

11.6+91+77.4=180

Option C

100.3+62.7+18=181

Option D

60+60+60=180

Option C is the answer as it is the only option that does not add up to 180 degrees

can someone please help me

Answers

Answer:

Step-by-step explanation:

I think it’s -5

here is the last question from my pervious post
Ill give brainliest to whoever answers it right

Answers

Answer:

G

Step-by-step explanation:

G is the correct answer. This is because X is much bigger than Y.

PLEASE HELPP!!I need to pass this please!!im confused
Question:Which statement is true of Jenna's monthly electricity bill

A.for every 15 units of electricity used monthly the charges $0.10
B.for each unit of electricity use the charges $10 plus $15 for the first month
c.Jenna has to pay $15 for each unit of electricity used and a $0.10 fixed monthly charge
DJenna has to pay $1 for every 10 units of electricity used plus a $15 fixed monthly charge ​

Answers

Answer:

saw this question on egde its b

Which of the a-values satisfy the following inequality? 7 + a < 11 Choose all answers that apply: А a = 3 B a = 4 a = 5​

Answers

Answer:

Only A. a=3

Step-by-step explanation:

Because since 7+a<11 then that means a have to be 3 or below... good luck!

Answer:

A) a=3

When a=3 7+3=10 which satisfy that 7+a<11 in which 10<11

If f(x)=3x-9, what is f(5)?

Answers

Answer:

ok so

Step-by-step explanation:

plug it in

since x=5

it would be 5=3×5-9

which would give us 5=6x

Subtract

x=-1

What geometric figure would you get if you joined the endpoints of two rays and pointed the rats in opposite directions?

Pls help me ASAP, this is due today. I would really appreciate it.

Answers

A line? They’ll look like this right? <—••—> ?
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Seahawk reported net income of $40,000 and paid dividends of $20,000 in 20X8.1) Provide the journal entries recorded by Patriot during 20X8 on its books if it accounts for its investment in Seahawk using the equity method.2) Give the consolidating entries needed at December 31, 20X8, to prepare consolidated financial statements. 5) regarding the evolution of specialized animal structures, a) the environment imposes identical problems on all animals regardless of where they are found. b) the evolution of structure in an animal is influenced by its ability to learn. c) the simplest animals are those with the most recent appearance among the biota. d) short-term adjustments to environmental changes are often mediated by physiological organ systems. e) the most complex animals are the ones with the most ancient evolutionary origin. What is key differentiator for accenture when delivering AI solutions to client? What is a domain of a function examples? 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