PLEASE HELP ME!!
Find the domain, in interval notation too.

PLEASE HELP ME!! Find The Domain, In Interval Notation Too.

Answers

Answer 1

I sadly do not have an answer to this problem but,  have a great explanation for a similar problem. (I really am sorry that I don't have the answer, in a bit of a time constraint)

Step-by-step explanation:

Example (graph found below):

The domain of a function f(x) is the set of values of x for which f(x) has a defined value.



In the graph we can see that we have two asymptotes: one vertical and one slant asymptote.



The slant asymptote does not affect the domain,  but the vertical asymptote at x = 0 implies that f(x) does not have a defined value at x = 0.

Then, x = 0 is not part of the domain of f(x). All the real numbers different from 0 are part of the domain.



Then, we can write the domain as x ≠ 0 or, in interval notation, as (-∞,0) ∪ (0,∞).



Answer: the domain is all the real numbers different from 0.



NOTE:

If we want to know the range of the function, we have to look at the values that f(x) can take for the domain for which it is defined.

In this case, we can see that there is no limitation for the values f(x) can take: f(x) can take all real numbers, so the range is all real numbers.

PLEASE HELP ME!! Find The Domain, In Interval Notation Too.
Answer 2

Answer:

[tex]D = (-\infty, -1) \ \cup \ (-1, 2) \ \cup \ (2, \infty)[/tex]

Step-by-step explanation:

This function is rational function that's meaning that is of the form:

[tex]\frac{1}{x}[/tex]

So you have to take care when [tex]x[/tex] is equal to 0 because the function is undefine in that number (is represented with an asymptote and means that go to positive or negative infinity).

In the given graph there are 2 asymptotes in -1 and 2 so you have to avoid this two points in the notations by intervals. You can achieve this using the parenthesis indicating that you don't take the value in account.


Related Questions

Find the value of 2cosx+1=0;0 less than x less than 360°

Answers

Answer:

120°; 240°

Step-by-step explanation:

Let's first solve for [tex]cosx[/tex]: [tex]2cosx=-1 \rightarrow cosx=-\frac12[/tex] At this point it's just a matter of drawing a circle, and mark where the angle is(please excuse my paint skills, but free hand drawing would be even worse). Red line, is [tex]-\frac12[/tex] on the cosines, and both the green and blue lines are valid solutions. The green line is a quarter of a circle, plus 30°, or 120°. The blue one is 3/4 of a circle, minus 30 degrees, or 240°.

Factor
10x + 100x + 250

Answers

10(11x+25)
Is the answer

Solve the equation below 2(t+4)=7+5(t-4)

Answers

Answer:

t= 7

Step-by-step explanation:

2(t +4)= 7 +5(t -4)

Expand:

2t +2(4)= 7 +5t +5(-4)

2t +8= 7 +5t -20

2t +8= 5t -13

Bring constants to one side, t terms to the other:

5t -2t= 13 +8

Simplify:

3t= 21

Divide both sides by 3:

t= 21 ÷3

t= 7

Using the appropriate Algebraic identity evaluate the following:(3p -q) (3p +q)​

Answers

Step-by-step explanation:

expand and multiply the terms

Which postulate /theorem can you use to prove the two triangles shown are congruent? ​

Answers

777377737666267#773727363653626728’e

how do I become good at fortine ​

Answers

Answer:

practice.

Step-by-step explanation:

hope this helps. . . <3

good luck!     uωu

Answer:

umm work harder I guess -,-

Step-by-step explanation:

a fair coin is flipped 10 times. what is the probability of getting the same number of heads and tails

Answers

If you flip a coin one time, the probability to get a Head is

p = 1/2

The probability of not getting a head in a single toss is :

q = 1 - 1/2 = 1/2

Thus there is only one unique situation to get the same number of heads and tails : in 10 toss you need to get exactly five heads, it will means that the rest is the tails.

Now using Binomial theorem of probability, the probability of getting exactly x = 5 heads in a total of n = 10 tosses is :

P(X = 5) = [tex]\frac{10!}{5!*5!} *(\frac{1}{2})^{5} *(\frac{1}{2})^{5}[/tex]≈ 0.246

So the probability of that is 24,6 %

Good Luck

it takes an ant farm 3 days to consume 1/2 of an apple. At that rate in how many days will the ant farm consume 3 apples

Answers

Answer:

18 days

Step-by-step explanation:

1/2 apple = 3 days

3 apples = 18 days

18 days
as 1/2 of a apple takes 3 days.
1 whole apple = 6 days
6 x 3 = 18.

To factor f2 + 6f + 9, find the factor of 9 with both positive signs and whose sum is ____

I need help..

Answers

(f+3)(f+3) i believe so use algebra calculator for help with algebra

Please help explain my answer!!
Why does a compass point towards the earth's geographic North Pole?
My answer:
Because that's where Earth's south magnetic pole is located and they attract.
Make sure to explain your answer.
Help!

Answers

The correct answers are that Earth’s North Pole is close to the magnetic south pole, magnets allowed to move freely align themselves to point north, and the north pole on a compass is attracted to Earth’s south pole. I really hope this helps you!!

36 x 1/9, show work please !

Answers

Answer:

4 [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

39 × [tex]\frac{1}{9}[/tex]

39 times 1 is 39

39/9 is 4.33333333 Which is also, 4 [tex]\frac{1}{3}[/tex]

36*1/9

36/1*1/9

We then multiply the numerator and the denominator

“36/9

Find the median of the first 13 natural numbers

Answers

Answer

116.4k+ views

Hint: We will write the first ten odd natural numbers and then add them to find their sum. We will then substitute the values in the formula of arithmetic mean , a1+a2...+ann, where n is the number of terms and a1,a2,..an are n observations.

Complete step-by-step answer:

We have to find the arithmetic mean of first ten odd natural numbers .

Natural numbers are counting numbers and starts from 1.

Odd numbers are not multiples of 2.

The first ten odd natural numbers are 1,3,5,7,9,11,13,15,17,19.

Arithmetic mean is calculated by adding all the observations by the total number of observations.

Arithmetic mean is given by a1+a2...+ann, where n is the number of terms and a1,a2,..an are n observations.

Therefore, we will calculate the sum of the first ten odd natural numbers.

⇒1+3+5+7+9+11+13+15+17+19⇒100

Now, we will divide this by 10 as there are a total 10 numbers.

10010=10

Hence, the arithmetic mean of first ten odd natural numbers is 10.

Note: Arithmetic mean is also known as average or simply mean. Odd numbers are not divisible by 2. The sum of n odd natural numbers is also given by n2

4,505 in expanded form​

Answers

Expanded: 4000+ 500+ 00+ 5

PLEASE HELPPPPPPPPPPPPPPPP!!!

Answers

Answer:

6 years

Step-by-step explanation:

5% of 1000 is 50

1. $1050

2. $1100

3. $1150

4. $1200

5. $1250

6. $1300

6 years because 5% of 1000 is 50

simplify (5 cubed)to the power of 6 leaving your answer in index form

Answers

Answer:

I got up to 25 to the power of 6

Step-by-step explanation:

5 cubed is 25, Hope this leads you in the right direction

Select the correct answer.
if g(x) = f(1/3x) which statement is true?

OA. The graph of function fis stretched vertically by a scale factor of 3 to create the graph of function g.
ОВ. The graph of function fis stretched horizontally by a scale factor of 3 to create the graph of function g.
oc. The graph of function fis compressed horizontally by a scale factor of 1/3 to create the graph of function g.
Od. The graph of function fis compressed vertically by a scale factor of 1/3 to create the graph of function g.

Answers

Answer:

D

Step-by-step explanation:

It says that f(1/3x)=g(x), so scale factor is 1/3 and it is across the y axis because f(x) is basically y.

The correct statement is that the graph of function f is compressed horizontally by a scale factor of 1/3 to create the graph of function g.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Let us take the function g(x) as f(1/3 x).

This means that g(x) takes the value of f at  1/3 of x's value.

If f(2) = 4, then g(6) = f(1/3×6) = f(2) = 4.

When we replace x with 3x, we are compressing the graph of f horizontally by a factor of 1/3.

This is because every point on the graph of f now has 1/3 of its original x-coordinate.

The point (2, 4) was on the graph of f, it is now on the graph of g as (6, 4).

The scale factor is less than 1 because we are compressing the graph horizontally, which means the x-values are getting smaller.

Therefore, the correct statement is that the graph of function f is compressed horizontally by a scale factor of 1/3 to create the graph of function g.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ7

Beth,nina, Juan,Lucy and Abdul love fruit. all of them exept lucy and Nina love mangos. only the girls like watermelon. all of the apart from abdul and beth like papayas. only abdul, juan and nina like pears. only juan and lucy do not like pineapple. everyone wirh an a in their name likes cherries. who likes the largest variety of fruit ?​

Answers

Answer:

The answer would be Nina

Step-by-step explanation:

beth- likes mangos, watermelon, and pineapple

nina- likes watermelon, papayas, pears, pineapple and cherries

juan- likes mangos, papayas and pears

lucy likes watermelon and papayas

abdul- likes mangos, pears and pineapples

( nina has the most amount of fruit liked between everyone else)

so the answer has to be Nina.

The temperature was -16 degrees at noon. By 2:00 PM it dropped to 10 Degrees. What was the temperature at 2:00 Pm

Answers

The temperature at 2:00Pm would be -26 degrees

If the cube shown is 4 inches on all sides, what is the length of the diagonal, x, of the cube?

A) 3 square root 2 inches.
B) 3 square root 3 inches.
C) 3 square root 4 inches.
D) 4 square root 3 inches.

Answers

The answer of your question is c

Answer:

Step-by-step explanation:

Correct answer:

3√3

Explanation:

General formula for the diagonal of a cube if each side of the cube = s

Use Pythagorean Theorem to get the diagonal across the base:

s2 + s2 = h2

And again use Pythagorean Theorem to get cube’s diagonal, then solve for d:

h2 + s2 = d2

s2 + s2 + s2 = d2

3 * s2 = d2

d = √ (3 * s2) = s √3

So, if s = 3 then the answer is 3√3

A family drove to a resort at an average speed of 30 mph and later returned over the same road at an average speed of 50 mph. Find the distance to the resort if the total driving time was 8 hours.

Answers

Answer:

150 Miles

Step-by-step explanation:

Let's say it takes x time to get there.

X x 30=(8 - 6) x 50 (The distance is the same)

30X=400 - 50X=7 X=5 hours.

So the distance is 5 x 30=150 miles.

Make x the subject of the formula x + t = q

Answers

Answer:

x = t - q

Step-by-step explanation:

because to make q, you need to add x and t

so to make x the subject, you should subtract q

Example

x + t = q

t = 7

q = 36

x = t - q

36 -7 = 29

x = 29

The coefficient in the formula above tells us that there are?

Answers

Answer: srry if im wrong but i think it is Answer:1.A ____ is like a recipe for a chemical substance. (valence, formula, subscript, coefficient)

Step-by-step explanation:

ONLY BOTS WITH LINKS KEEP ANSWERING MY QUESTION PLEASE SOMEONE HELP ME WITH THIS

Answers

You didn't really describe what we're supposed to do, but I'm going to assume they want you to graph it.

The first equation has a slope of 3/5x, meaning that for every 3 units it moves upwards, it moves right 5 units. It has a y-intercept of 8, meaning that the line will cross through (0, 8) on the coordinate plane. Start your point on (0, 8) and draw a line that goes up 3 units and 5 units.

The second equation has a slope of -4/5x, meaning that for every 4 units it moves upwards, it moves left 5 units OR for every 4 units it moves down it moves 5 units right. The y-intercept is 1, so the line will go through (0, 1). Start your point on (0, 1), and draw a line that follows the slope, just like last time.

If this is all correct and the best answer, please give me brainliest as I'm trying to rank up. Thanks!

Marie and Amy are cutting ribbons to attach to balloons for Amy's birthday party. Each guest's chair will have on balloon tied to it. each ribbon is 2/3 of a yard and they have 6 yards of ribbon in total. How many ribbons will they cut. A. 1/9 B.4 C.8 D. 9


PLS ANSWER QUICK FIRST RIGHT ANSWER WILL BEE MARKED AS BRAINLEIST

Answers

Answer:

D 9

Step-by-step explanation:

1 ribbon ---- 2/3 yards

x          ------  6 yards

6 * 1 = 2/3 * x

6 = 2/3 x

18/2 = x

x = 9

9 ribbons can be cut from 6 yards of ribbon

Quadrilateral ABCD has the following
vertices:
A(2, 7)
B(8,1)
C(1, -9)
D(-6, -2)
Is quadrilateral ABCD a parallelogram, and
why?

Answers

Answer:

Yes

Step-by-step explanation:

Because it’s a trapezoid and those can be trapezoid because they have one pair of parallel sides and a parallelogram has two pairs of parallel sides so a parallelogram is also a trapezoid.

What angle is congruent to ∠C?

Answers

Step-by-step explanation:

Order of congruence does not matter. For any angles A,B, and C , if ∠A≅∠B and ∠B≅∠C , then ∠A≅∠C . If two angles are both congruent to a third angle, then the first two angles are also congruent.

The price of oranges is proportional to the number of oranges if
One orange costs 1200 Rs. Find:
A. The price of 12 oranges.
B. The amount of oranges that cost 32,000 Rs.​

Answers

#1

Cost of 1orange=1200

Cost of 12 oranges:-

[tex]\\ \sf\longmapsto 1200(12)=14400[/tex]

#2

Total cost=32000Cost of one orange=1200

Total oranges

[tex]\\ \sf\longmapsto 32000\div 1200[/tex]

[tex]\\ \sf\longmapsto 2666.6[/tex]

[tex]\\ \sf\longmapsto 2667[/tex]

Directions:

It’s easy for people to get stuck in their own minds or their own worlds instead of seeing the perspectives of others. Take a moment to consider the perspective of the characters listed. Choose one character. Write a short paragraph to explain the perspective of that character by putting yourself “in their shoes.” Consider these questions:

What might be his or her struggles?
How does the character see the world around himself or herself?
What decisions would you make if you were in the character’s place?
Be sure to use specific examples or textual evidence from research, the readings in this class, or your own experiences and knowledge.

Prompt:

Topic 1: Perspective of Montresor in “The Cask of Amontillado”

Topic 2: Perspective of Princess Irene in The Princess and the Goblin, Chapter 14

Answers

Answer: Montresor struggles with anger, and grudges. Montresor feels remorse at the end but excuses it as the dampness of the catacombs.

He sees the world without justice and sees to make justice for himself. In the story he talks about the misgivings and insults he receives from fortunato. He takes vengeance against him.

(haven´t read book based off summary) Princess Irene  shares a friendship that is strong. I infer this based off the trust and bonding they share in the book. She struggles against goblins.  

Step-by-step explanation: I really hope this helps havent read the books in a long time.!!

Jayanti takes shortest route to her home by walking diagonally across a rectangular park. The park measures 80 meters × 60 meters. How much shorter is the route across the park than the route around its edges?

Answers

Answer:

40meters

Step-by-step explanation:

rectangular park has 90 degree at vertex.so

in that right angled triangle

we have,

length=base=80meters

breadth=perpendicular=60

diagonal=hypotenuse=?

now,

h^2=p^2+b^2

h=square root under 80^2+60^2

h=square root under 6400+3600

h=square root under 10000

h=100

Again,

around root =80+60=140

daigonal=100.

so

the route is 140-100=40meters shorter

22% of what number is 24.2​

Answers

Answer:110

Step-by-step explanation:

24.2/x = 22/100

Where x is the number we are looking for

cross multiply

24.2*100 = 2420

22*x=22x

22x=2420

22x/22=2420/22

x= 110

so 24.2 is 22% of 110

Answer:

If 22% × 110 = 24.2 => Divide 24.2 by 110And see if we get as a result: 22% Note: Multiply a number by the fraction 100/100, and its value doesn't change.

Step-by-step explanation:

If 22% × 110 = 24.2 => Divide 24.2 by 110And see if we get as a result: 22% Note: Multiply a number by the fraction 100/100, and its value doesn't change Multiply a number by the fraction 100/100, and its value doesn't change.

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