Mathematics High School

HELPP
the equation is y=(1/3)^x

HELPPthe Equation Is Y=(1/3)^x

Answers

Answer 1

Answer:

For a function y = f(x), the domain is the set of the possible values of x that we can input, while the range is the set of the possible outputs of the function.

In this case we gave y = f(x) = (1/3)^x

A) Domain

To see the domain we always start assuming that the domain is the set of all real numbers, and then see if there is a real number that causes any problem.

(for example if we had a denominator like "x - 2", the point x = 2 would cause problems because it would make the denominator equal to zero, and we can not divide by zero)

Particularly because x is the exponent, we do not have any problem here, so the domain is the set of all real numbers:

D: = R

B) Range.

To find the range we usually need to find the smallest value of the function.

Here we have:

y = (1/3)^x

Is really easy to see that as x increases, the denominator increases but the numerator remains the same, then as x increases, the value of y decreases.

For example for x = 100 we will have:

y = 1/3^100 ≈ 0

(you also can see that y will never be a negative value, and as x increases the value of y tends to zero)

then:

0 < y

And if we have x negative, like x = -3 for example.

y = (1/3)^-3 = (3/1)^3 = 3^3 = 27

So if x decreases (or increases in the negative value) then the value of y increases, so we do not have any upper limit.

Then the range is only defined by

0 < y.

We can write the rane as:

R: (0, ∞)

C) The y-intercept is the value of y when x= 0

y = (1/3)^0 = 1

(for any number different than zero N, we have that N^0 = 1)

the y-intercept is 1

D) The asymptote is a tendency to a given value, such that the function never does reach that value.

Here we have two asymptotes.

y tends to infinity as x tends to negative infinity.

y tends to zero as x tends to infinity.

Related Questions

The sum of the three interior angles of any triangle equal 180 degrees. One right triangle has one acute angle of 30 degrees.
Find the second acute angle.
Paragraph: Describe how to find the second acute angle.

Answers

Answer: right triangle is a triangle with one angle equal 90. That being said, the total of all angles = 180. 1 of them is 90 which makes the sum of the 2 acute angles = 90. One acute angle = 30 => the second one = 90 - 30 = 60 degree

Step-by-step explanation:

A bag contains colored marbles.

5 marbles are red.
3 marbles are green.
8 marbles are blue.
4 marbles are white.

A marble will be randomly selected from the bag. What is the probability that the marble selected will be blue?

A. 0.8
B. 0.5
C. 0.4
D. 0.2

Answers

Answer: C.) 0.4

Explanation: 8/20 chances -> 2/5 -> .4

What is the range of ordered pairs represented on the graph? ​

Answers

Answer:

Step-by-step explanation:

1st. (4,6)

2nd. (-6,-2)

3rd. (8,4)

4th. (-4,-10)

What is the standard form of (6,-3),(-2,-3)

Answers

Answer:

2x - 3y = 21

someone pls just comment something​

Answers

Answer:

Eleventeen

Step-by-step explanation:

Answer:

THIRTEEN

Step-by-step explanation:

SOMEONE PLEASEEEE HELPPPP?!!?!?!?!!?!?!??!

Answers

(4,5) find x then find y. Hope this helps!

Solve the quadratic equation
3x²-5x-7=0

Answers

Answer:

Step-by-step explanation:

The coefficients of this quadratic equation are {3, -5, -7}.  The discriminant (part of the quadratic formula) is b^2 - 4ac, which here is 25 - 4(3)(-7), or 109.

This positive discriminant indicates that there are two real, unequal roots.  

They are:

      5 ± √109

x = ------------------

              6

What is the surface area of the cone? (Use 3.14 for π.)



339.12 cm ^2
715.92 cm ^2
307.72 cm ^2
417.62 cm ^2

Answers

Answer:

tambil anseeciot

Step-by-step explanation:

this is algebra please help​

Answers

Answer:

1/8 and 1/16

Step-by-step explanation:

The negative exponent just means to right the negative inverse.

For example:

4^-2 means 4^2 but in a fraction

the answer would be 1/16

Choose one
Help me please

Answers

Answer:

A

Step-by-step explanation:

Smallest to Largest

Natural numbers

Whole numbers

Integers

Rational numbers

A man who is X years old now has a son aged 5 years. In 7 years the father will be 4 times as old as his son will be then . How old is the father now​

Answers

Answer:

48

Step-by-step explanation:

Answer:

41yrs old

Step-by-step explanation:

now. 7yrs later

F. S. F. S.

x 5. x+7. 5+7

F=(5+7)4

(5+7)4=x+7

20+28=x+7

48=x+7

x=48-7

x=41

so the father is 41yrs old

In August, Emily's Clothing Store sold 98 long sleeve shirts with the ratio of short sleeve to long sleeve being 3:7. How many short sleeves were sold?

Answers

Answer:

the number of short sleeves sold is 42

Step-by-step explanation:

The computation of the number of short sleeves sold is shown below:

Given that

The clothing store sold 98 long sleeve shirts

And, the ratio of short sleeve to long sleeve is 3:7

So, the number of short sleeves sold is

= 98 × 3 ÷ 7

= 42

Hence, the number of short sleeves sold is 42

Solve for x, rounding to the nearest hundredth.
25 • 3^3x = 250

Answers

x= 10/27

Hope you have a great day

What Dose 2+2 =
I've been stuck on this question for 7 years
/\ (Not Really to all the ❄)​

Answers

Answer:

4

Step-by-step explanation:

took the test and got it right!

Which of the following images show a rotation of 270 counter-clockwise?

Answers

Answer:

Image A

Step-by-step explanation:

What is the angle measurement of angle DBC?
Help please

Answers

45 _____________________\_

Fred finishes one assignment in 3 hours. Assuming he works at a constant pace over several hours, write an equation that depicts the relationship between time in hours h and number of assignments finished f.

Answers

The equation that depicts the relationship between time in hours h and number of assignments finished f is f  = 3h

How to write an equation?

He finishes one assignment in 3 hours.

He does the assignment at a constant rate over several hours.

Therefore, the equation that depicts the relationship between time in hours h and number of assignments finished f is as follows:

where

h = time in hoursf = number of assignment

Hence, the equation is :

f  = 3h

learn more on equation here: https://brainly.com/question/10091688

#SPJ1

help please . thank you

Answers

PLEASE DONT USE THAT LINK

Adding and subtracting integers not a lot!!

Answers

Answer:

??

Step-by-step explanation:

Helpppppp plz I’ll give branliest

Answers

x^2+20

But im not sure...

List the nurnbers in order from least to greatest. 1 -1,8,-18,-5,2,1 The numbers in order from least to greatest are​

Answers

-18,-5,-1,1,1,2,8 Hope this helps!

81 is divisible by?

1. 3
2. 4
3. 6
4. 8

Answers

Answer:

3 is the correct answer hope it helps

Please help I really need it

Answers

Answer: The answer is the Median(D)

Step-by-step explanation:

Answer:

 Median

Step-by-step explanation:

The area of a circle is 121π cm squared. What is the circumference in terms of π?

Answers

Answer:

38 cm cubic

Step-by-step explanation:

C = 2√πA

C = 2√3,14 x 121

C = 2√379,94

C = 2 x 19,49204966133629

C = 38,98409932267258 = 38 cm cubic

hope this help !

(don't forgot to make this the best answer)

Find the median of the data. 12,33,18,28,29,12,17,4,2

Answers

Step-by-step explanation:

Answer:17

Step-by-step explanation: you’re welcome

Help me please. Stuck on y is [] times x.

Answers

Answer:

1 2/3

hope this helps :)

Step-by-step explanation:

Answer:

y=0.6x

Step-by-step explanation:

y=kx

k=y/x

k=9/15=18/30=27/45=36/60=0.6

Meredith is playing games at the arcade to earn tickets that she can exchange for a prize. She has 278 tickets from a previous visit, and she earns 5 each game she plays. If Meredith needs 388 tickets to exchange for the prize, how many games does Meredith need to play?

Answers

I believe the answer would be 22

I am assuming she already has 278, so the amount of tickets needed needs to be found
388-278 = 110

Since she gets 5 tickets from each game, you divide
110/5 = 22

So she would need to play 22 games to get the remainder of the tickets

Please correct me if I am wrong, have a good day!

Also, the picture is blacked out, from my personal experience, the picture needs to exist in your device as in your camera roll before you upload it.

Math question 10 points!!!

Answers

Base = 5cm
Good Luck

The angles listed from largest to smallest are __________________
I WILL GIVE YOU THE BRAINLIEST!!!!!!!!!!

Answers

Answer:

B, A, C

Step-by-step explanation:

That's a 30-60-90 triangle.

if 1 inch is = to 5 mile then what is the actual distance in 2.5 inches

Answers

Answer:

Step-by-step explanation:

1 in^2 = 5 mi * 5 mi = 25 mi^2

2.5 in^2 (25 mi^2/in^2) = 62.5 mi^2

Other Questions
What explanation is given to the animals when the pigs move into the farmhouse? A team of ecologists are studying four different ecosystems with varying levels of biodiversity. The ecologists categorize the different levels of biodiversity for the four ecosystems as shown in the table below.Based on the information above, which ecosystem would most likely recover the fastest from a natural disruption?answer choicesEcosystem AEcosystem BEcosystem CEcosystem D May I ask whats the answer to this MC question because what I've calculated is 36 to the power 222 which giant matched the above choices We ............. when we decided to stop and rest. What are the 3 main ideas of the Enlightenment? Contribution margin O equals sales revenue minus variable costs. O is always the same as gross profit margin. O excludes variable selling costs from its calculation. O is calculated by subtracting total manufacturing costs per unit from sales revenue per unit. Click if you would like to show Work for this question Onen Show Wort What is the volume of a 1.25 M solutionif it contains 42 grams of sodiumhydroxide.Volume NaOH = [?] mL Conflict is disagreement, discord, and friction that occurs when the actions or beliefs of one or more members of the group are unacceptable to and resisted by one or more of the other group members. Amelia has two sheets of construction people with length accent meters one piece of construction paper has a width of X +4. 5 cm and the other has a width of X +6. 25 cm right and expression to represent the the two pieces of construction paperwork cover 20 POINTS PLS HELP THANK YOUUUMatch the following items to the corresponding civilization.Neolithic Revolution - MesopotamiaBubonic Plague - _____________Dowry - ____________________Census - ___________________Tribute - ___________________Bushido - __________________Feudalism - ________________Calligraphy - _______________Hieroglyphics - Egypt Democracy - _______________Word Box/Choices:1. Early Medieval Europe 2. Japan 3. Song Dynasty 4. Inca 5. Muslim Empire 6. Greece 7. Han Dynasty 8. Mongol Empire 9. Ancient India 10. Rome 11. Maya 12. Korea Why did the U.S. reject the League of Nations? Is inflation gradual or sudden? if a fixed asset, such as a computer, were purchased on january 1 for $2,072 with an estimated life of 4 years and a salvage or residual value of $179, the journal entry for monthly expense under straight-line depreciation is a. account debit credit accumulated depreciation 39.44 depreciation expense 39.44 b. account debit credit depreciation expense 39.44 accumulated depreciation 39.44 c. account debit credit accumulated depreciation 473.25 depreciation expense 473.25 d. account debit credit depreciation expense 473.25 accumulated depreciation 473.25 question content area disposal of fixed asset equipment acquired on january 6 at a cost of $400,200 has an estimated useful life of 10 years and an estimated residual value of $52,200. question content area a. what was the annual amount of depreciation for years 1-3 using the straight-line method of depreciation? What are the effects of living in a healthy and clean environment? Write True if the statement is correct. Write False if the statement is not correct.a) _________ The water cycle is also called the hydrologic cycle.b) _________ Most of the water found on Earth is freshwater.c) _________ The water cycle has a beginning and an end.d) _________ The water frozen in polar ice caps is saltwater.e) _________ The water cycle has three main steps.f) _________ Evaporation is the process in which water changes to water vapor.g) _________ Plants and animals give off water vapor.h) _________ Transpiration is the second step in the water cycle.i) _________ Precipitation is moisture that falls to Earth as rain, hail, sleet, or snow.j) _________ Clouds form when water evaporates.k) _________ Water that soaks into the ground is called runoff water.l) _________ All of Earth's water is called the hydrosphere.m) _________ Groundwater stays there forever and is no longer part of the water cycle.n) _________ The water cycle makes it possible for areas with no nearby bodies of freshwater to have a supply of fresh water.o) _________ The water that evaporates from the ocean takes the salt with it as a gas. Describe a real world situation that could be modeled by the expression Y equals 1/20 XP transcribe what is Which storage practice can cause cross contamination? What is in the secret room of Taj Mahal? In a survey of students about favorite sports, the results include 34 who like tennis, 37 who like football, 17 who like tennis and football, 21 who like tennis and baseball, 25 who like football and baseball, 9 who like all three sports, and 7 who like none of the sports. How many students like only tennis and football?please help me on this ;-;