graph all vertical and horizontal asymptotes of the rational function.

Graph All Vertical And Horizontal Asymptotes Of The Rational Function.

Answers

Answer 1

Answer:

Below in bold.

Step-by-step explanation:

When x = 4 the denominator = 0 so the vertical asymptote is x = 4.

When x approaches negative and positive infinity  f(x) approaches zero  so the horizotal asymptote is y = 0 ( the x-axis).


Related Questions

How do I find the domain and range of y= -(x-2)^2+3?​

Answers

Answer:

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. The range is the set of all valid y values.

Step-by-step explanation:

I need help with this question

Answers

Answer:

umm If im correct it is E!!

help please!! like asap

Answers

I learned one input cannot equal 2 outputs (so one x-value cannot have 2 different y-values) and since the second one has -3 as an x-value twice, the second one is NOT a function

x-4 in word form
Please help it’s due today!

Answers

Answer:

x  minus four

Step-by-step explanation:


Helppppp fasttttt!!

Answers

2(-n - 3) - 7(5 + 2n) Equation
-2n - 6 - 7(5 + 2n) Distribute Left Side
-2n - 6 - 35 - 14n Distribute Right Side
-16n - 41 Combine Like Terms
Answer: B

What is 80% of 72 ? pls help due today

Answers

Answer:

Step-by-step explanation:

57.6

Answer:

57.6

Step-by-step explanation:

You multiply 72 by .8 because you have to change the percent into a decimal place to multiply it by. 0.8 is 80 hundredths and fractions are numbers out of 100. I hope I could help you :)

What is the sum of 0.5 and 0.3 ?

Answers

Answer:

0.8

Step-by-step explanation:

5 x 3 = 8 (Add the "0." at the end) That's all, hope it helped!

Answer:

The answer is 0.8. Think of it like a normal number.

A total of 42 gallons of a glycol solution needs to be added to a heating water loop to ensure the water does not freeze if there is a heating equipment failure. The glycol solution comes in​ 1.75-gallon cans. How many cans will be​ needed? Your answer should be a whole number.

Answers

Answer:

Number of cans of glycol solution needed = 24 cans

Step-by-step explanation:

Total glycol solution needed = 42 gallons

Volume of each can of glycol solution = 1.75 gallon

How many cans will be​ needed

Number of cans of glycol solution needed = Total glycol solution needed / Volume of each can of glycol solution

= 42 / 1.75

= 24

Number of cans of glycol solution needed = 24 cans

The bear was chosen _____ more times than the elephant as the favorite animal.



11
10
9
8

Answers

Answer: 9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

22 - 13 = 9

Find the measurement parallelogram.
I need help please, thank you.
I need explanation

Answers

Answer:

2.) 145°

4.) 50°

Step-by-step explanation:

2.) First find the measure of Angle Y, since they are supplementary;

∠Z + ∠Y = 180

35 + ∠Y = 180

∠Y = 180 - 35

∠Y = 145°

So ∠X would be 145° as well

4.) First find the measure of Angle F, since they are supplementary;

∠C + ∠F = 180

130 + ∠F  = 180

∠F = 180 -130

∠F = 50°

So ∠E would be 50°

(I didn't explain it much in detail, since this question is similar to the previous that i answered :)

Hope this helps!

Nine times the difference of a number and 4 is the same as the product of 2 and the same number plus 10. What is the number?

Answers

Answer:

The product of 10 and a number is = 10x Twice that number means 2x 36 less than twice that number= 2x-36. It is given that....The product of 10 and a number is the same as 36 less twice that same number

Step-by-step explanation:

The required number that is Nine times the difference of a number and 4 is the same as the product of 2 and the same number plus 10, is 8.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Let the number x,
According to the question,
9 (x - 4) = 2(x + 10)
Simplifying,
9x - 36 = 2x + 20
9x - 2x = 36 + 20
7x = 56
x = 56 / 7
x = 8

Thus, the required number that is Nine times the difference of a number and 4 is the same as the product of 2 and the same number plus 10, is 8.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

Select all expressions that are equivalent to
2x + 5(–4x + 10) - (x + 4).
Show your work in the sketch pad that supports your
answer.
(Select all that apply.)
27x + 54
-19x + 46
2x - 30x + 50 - x - 4
2x + 30x + 50 - x +4

Answers

2x + 5(–4x + 10) - (x + 4).

-4+10=14

x+4=5-9

2x+5=7x

7+9=18

18-14=4

4 is your answer

helpppppp meeeeeeeee

Answers

Answer:

True

Step-by-step explanation:

This is so basic haha but happy to help

the product of twice a number and one less than that same number

Answers

Answer:

(2n)*(n-1)

Step-by-step explanation:

3x+ 2 =7x -1 what is the answer

Answers

Answer:

6x

Step-by-step explanation:

Answer:

x= 3/4

Step-by-step explanation:

3x+2= 7x - 1

-3x       -3x

2= 4x - 1

+1    +1

3= 4x

/4    /4

3/4 =  x

help, don't guess. tyyyy

Answers

Answer:

[tex]\huge{\textbf{\textsf{{\color{skyblue}{An}}{\blue{sw}}{\red{er}}{\color{red}{:}}}}}[/tex]

0 (zero)

Step-by-step explanation:

The 8-sided die has numbers less than 9. So, they can never be greater than 9.

PLEASEEE HELP MEEEE

NO LINKSSS

Answers

Answer:

[tex]\huge\boxed{(2,\ 3);\ (-1,\ 6)}[/tex]

Step-by-step explanation:

[tex]f(x)=x^2-2x+3\to y=x^2-2x+3\\f(x)=-x+5\to y=-x+5\\\\\left\{\begin{array}{ccc}y=x^2-2x+3&(1)\\y=-x+5&(2)\end{array}\right[/tex]

substitute (1) to (2):

[tex]x^2-2x+3=-x+5[/tex]     add x to both sides

[tex]x^2-2x+x+3=-x+x+5[/tex]

[tex]x^2-x+3=5[/tex]        subtract 5 from both sides

[tex]x^2-x+3-5=5-5[/tex]

[tex]x^2-x-2=0\\\\x^2+x-2x-2=0\\\\x(x+1)-2(x+1)=0\\\\(x+1)(x-2)=0\iff x+1=0\ \vee\ x-2=0\\\\\boxed{x=-1\ \vee\ x=2}[/tex]

substitute the values of x to (2):

[tex]x=-1\\\\y=-(-1)+5=1+5=6\\\\\huge\boxed{(-1,\ 6)}\\\\x=2\\\\y=-2+5=3\\\\\huge\boxed{(2,\ 3)}[/tex]

What is the measure of angleR to the nearest degree? TR-35 ST-30 S-69° •31° •53° •58° •80°​

Answers

In the diagram, the measure of angle R is 53°

Law of sines

From the question, we are to determine the measure of angle R

Using the law of sines, we can write that

[tex]\frac{sin R}{r} =\frac{sin S}{s}[/tex]

In the given diagram,

r = 30

S = 69°

s = 35

Thus,

[tex]\frac{sin R}{30} =\frac{sin 69^\circ}{35}[/tex]

[tex]sin R =\frac{30 \times sin 69^\circ}{35}[/tex]

sin R = 0.8002

R = sin⁻¹(0.8002)

R = 53.149°

R ≈ 53°

Hence, the measure of angle R is 53°

Learn more on Law of sines here: https://brainly.com/question/15140698

#SPJ1

PLEASE HELP. NO SCAMMERS
the storm trooper camp is open for 7 and 1/2 hours a day. The camp keeps one guard on duty at a time, and their shift is 1 and 1/2 hours long. how many shifts are there a day?

Answers

Answer:

there are 5 shirts a day

Step-by-step explanation:

you divide the number of hours the camp is open by the time a guard is on duty. 7.5 ÷ 1.5 =5

PLEASE HELP ME!!! THIS IS 8TH GRADE ALGEBRA!!

Answers

Answer:

Youre fυcked

Plz help fast will mark brainliest!!!

Answers

The answer :9.1×10 ^3

Can someone help me with this?

Answers

Answer:

Step-by-step explanation:

We first need to figure out how much money Jackie has since Pilar has the same amount of money, but in different coins. Jackie has 24 dimes and 13 quarters, so the amount of money is $2.40 + $3.25 = $5.65; therefore, Pilar has $5.65 also. In order to determine how many nickels and quarters Pilar has, we have to have a system of equations. It's up to us to write the equations we need to solve this. The first equation has to do with the NUMBER of coins Pilar has, the second has to do with the VALUE of each coin. We know that Pilar has only nickels and quarters and that she has a total of 53 coins. So the NUMBER equation is

n + q = 53

The VALUE equation relates how much each coin is worth to the total amount of money it equals:

.05n + .25q = 5.65.

Go back to the first equation and solve it for either n or q. I solved it for n:

n = 53 - q

Plug this into the second equation in place of n now to get:

.05(53 - q) + .25q = 5.65 and

2.65- .05q + .25q = 5.65 and

.20q = 3 so

q = 15. This means that there are 15 quarters. If there are 15 quarters, then there are

n + 15 = 53 nickels and

n = 38 nickels.

Find the area of the shaded region. Round to the nearest hundredths place when necessary.
please show work​

Answers

Answer:

450.25 sq in

Step-by-step explanation:

Subtract area of triangle from area of circle

Area of Triangle:  

need to get the radius (which we will use as the height) and double the radius to get the base

Pythagorean Theorem:

21² + 20² = c²

441 + 400 = c²

c = [tex]\sqrt{841}[/tex] which is 29

A(Δ) = 1/2(29)×14.5

= 210.25

Area of Circle:

A = π(14.5²)

= 660.52

Difference = 660.5 - 210.25 = 450.25

Which statement is true?

can someone help me pls?

Answers

The 3 one or second make the most sense
I think the 3rd one but I’m not sure... like she said ^ they both make sense

John is trying to convert an area from meters squared to millimeters squared. He multiplied the area he had by
1,000 and got the wrong answer. What should he have multiplied the original area by?

A) 100

B) 1,000

C) 1,000,000

D) 10​

Answers

I think it’s either 10 or 100 because a millimeter is 1 and how it’s not in the option it’s most likely one of those two you can decide on this part but I’m just tryin to help!

Answer:

1,000,000

Hope this helps <3

What is the total area, in square meters, of the shaded sections of the trapezoid
below?
7 m
9.9 m
10 m
8.6 m

Answers

Answer:

84.5m would be the area

Step-by-step explanation:

7m, 10m = 35m

9.9m, 10m= 49.5m

35m + 49.5m+ 84.5m

Simplify: [tex]\frac{\left(x^{\frac{5}{2}}\cdot 6y^2\cdot \sqrt[3]{y^4}\right)}{12x^{\frac{1}{2}}\cdot \sqrt[4]{x^3}}[/tex]

Answers

Answer:

[tex]\frac{1}{2} x^{\frac{5}{4} }y^{\frac{10}{3}}[/tex]

Step-by-step explanation:

[tex]\frac{x^{\frac{5}{2} }*6y^2*\sqrt[3]{y^4} }{12x^{\frac{1}{2}}*\sqrt[4]{x^3} } =[/tex] [tex]\frac{x^{ \frac{5}{2} }6y^2y^{ \frac{4}{3} } }{12x^{ \frac{1}{2} }x^{ \frac{3}{4} }} =[/tex][tex]\frac{1}{2} x^{\frac{5}{2} - \frac{1}{2} - \frac{3}{4}}y^{2+\frac{4}{3}}=[/tex][tex]\frac{1}{2} x^{\frac{5}{4} }y^{\frac{10}{3}}[/tex]

please let me know if I did it good and lmk if I did anything wrong ( finding area )

Answers

well done you did amazing I will congratulate you with a slice of pizza

Point R is located at (1, 2) on a coordinate grid. Point S is located at (4, 5) on the same

coordinate grid. What is the distance from point R to point S, rounded to the nearest tenth?

A. 3.2 units

B. 4.6 units

C. 7.6 units

D.

10.0 units

Answers

Answer:

4.2 units

most likely answer choice B

Step-by-step explanation:

(1, 2) and (4, 5)

To find the distance between two points, we use the distance formula:

[tex]d = \sqrt{(x_{2}-x_1)^2 + (y_2-y_1)^2 }[/tex]

Let's plug in what we know.

[tex]d = \sqrt{(4 - 1)^2 + (5 - 2)^2 }[/tex]

Evaluate the parentheses.

[tex]d = \sqrt{(3)^2 + (3)^2 }[/tex]

Evaluate the exponents.

[tex]d = \sqrt{(9) + (9) }[/tex]

Add.

[tex]d=\sqrt{18}[/tex]

Evaluate the radical.

d = 4.24

Round to the nearest tenth.

d = 4.2 units

*note: The answer choice is 4.6. I'm not sure if that is a typo on someone's end, but the distance between these two points is exactly 4.24264068712 units.

Hope this helps!

Answer:

C. 7.6 units

Hope it helps!

Central Angles and Arc Measures Practice

What is X?

Answers

Answer: [tex]5^{\circ}[/tex]

Step-by-step explanation:

Given

[tex]\angle DIE=(18x-2)^{\circ}\\\angle DIH=15^{\circ}\\\angle FIG=103^{\circ}[/tex]

from the figure

[tex]\angle HIE=\angle GIF\quad [\text{vertically opposite angles}]\\\angle HID+\angle DIE=\angle GIF\\15^{\circ}+(18x)^{\circ}-2^{\circ}=103^{\circ}\\(18x)^{\circ}=103^{\circ}-13^{\circ}\\\\x=\dfrac{90^{\circ}}{18}\\\\x=5^{\circ}[/tex]

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