Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k. k = Graph of f of x and g of x. f of x equals 1 over 3 x minus 3 and g of x equals 1 over 3 x plus 1

Answers

Answer 1

answer:

the value of k is 4.

step-by-step explanation:

given,

f of x equals 1 over 3 x minus 3,

⇒[tex]f(x)=\frac{1}{3} x-3[/tex]

also, g of x equals 1 over 3 x plus 1,

⇒[tex]g(x)=\frac{1}{3} x+1[/tex]

since, g(x) = f(x) + k,

by substituting the values,

⇒ [tex]\frac{1}{3}x+1=\frac{1}{3} x-3+k\\1=k-3\\k=1+3=4\\[/tex]

therefore, the value of k is 4.


Related Questions

The diagram below shows an undisturbed rock. A rock sample is shown with four layers marked A, B, C, D from top to bottom. Which layer is likely to have the remains of an organism least similar to the organism's present-day form? Layer A Layer B Layer C Layer D

Answers

Answer:

Layer D

Explanation:

The rock layer with remains of organisms least similar to present day form can be found in Layer D.

Since layer D is the oldest layer, it will contain the oldest fossil in the undisturbed sequence.

This is because of the principle of fossils and fauna succession.

The principle states that "fossils and fauna succeed on another in a definite order".

Therefore, the oldest rock layer should contain the oldest fossil which is layer D. Layer A is the youngest layer and its fossils will be very similar to those of present day. So, the older a rock layer, the more farther it will be in resemblance to present day organisms.

Option D which denotes layer D is the right choice.  

Answer:

LAYER D

Explanation:

because the youngest layer is in the top, and the oldest layers are on the bottom.

What type of map is this? A. physical map B. precipitation map C. political map D. economic activity map Reset Next Previous1 Next Post Test: Exploring Geography Submit Test Reader Tools Info Save & Exit © 2020 Edmentum. All rights reserve

Answers

Answer:

where is the map? its not attached

A map of Africa with the names of cities could be considered a political map. Hence option C is correct .

What is Political Map ?

This type of map is used to show the boundaries and names of countries, cities, and other human-made features such as roads, railways, and airports.

The map would show the entire continent of Africa, with each country labeled and its borders clearly defined. The major cities would be labeled, including Lagos, Cairo, Johannesburg, Nairobi, and Kinshasa. Other important cities such as Addis Ababa, Algiers, Accra, and Casablanca would also be included.

Political maps are useful for a variety of purposes, such as planning travel, studying political geography, and analyzing economic and social trends. They can also be used for educational purposes, helping students to understand the geography of different regions and the locations of important cities and landmarks.

Overall, a map of Africa with the names of cities would be a valuable resource for anyone interested in exploring the continent or learning more about its geography and culture.

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Sweden is an example of a socialist government. Which statements describe Sweden’s government? Check all that apply.

Citizens are not allowed to own property.
No economic classes exist.
Rulers are in power for a lifetime.
One ruler has absolute control.
Resources are collectively owned by the people.

Answers

Answer:

The Answer is Resources are collectively owned by the people and no economic classes exist

Explanation:

Because I did the Assignment B)

Answer:

The answer is B and E

Explanation:

I took the assignment

What do scientists know about the future of the universe?
A. what dark matter is made of
B. why the expansion of the universe is accelerating
C. that stars will eventually burn out causing the universe to become cold and dark
D. that galaxies spin much slower than they should based on visible matter​

Answers

The correct answer is option C) that stars will eventually burn out causing the universe to become cold and dark.

What happens if all the stars burn out?

Eventually, the cycle of star birth and death will come to an end. Gravity will have won, a victory delayed by the ability of stars to call on the resources of nuclear fusion. But ultimately, gravity will reduce all-stars to a super-dense state as black holes, neutron stars or cold white dwarfs.

What happens when the universe goes cold?

The cosmos will come to a close through a cold and lonely death called the Big Freeze. The region surrounding Sagittarius A, the Milky Way's own supermassive black hole. Eventually, black holes will be the last remaining matter in the universe.

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Answer:

the answer is C) that stars will eventually burn out causing the universe to become cold and dark

Explanation:

on Edge 2020 :)

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Answers

The answer is D.sovereign nation

Have a great day!!

Answer:

D

Explanation:

I got it right

earths asthenosphere is hot and it flows in a plastic way by

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Answer:

Heat from deep within Earth is thought to keep the asthenosphere malleable, lubricating the undersides of Earth's tectonic plates and allowing them to move. Convection currents generated within the asthenosphere push magma upward through volcanic vents and spreading centres to create new crust.

Explanation:

Throughout most of U.S. the nation's population center has continually moved toward the west.
Why?

Answers

Answer:

Because west was uninhabited by the Europeans, it was rich with resources and when the railway was created many people rushed to the West in search for gold.

Explanation:

Europeans firstly settled on the east coast, where they created first 13 colonies. As the time passed the population was growing fast and the natural resources were exploited. That is why there was a constant need to move towards the West, which led to most of the people settling new lands.

Hurricanes and other weather phenomena do not affect the spheres of the earth. true or false ?

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Answer:

it's true...I think I'm sorry if its wrong

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А
In the world as a whole, women have an average of five or more children, leading to Malthusian crises,
B
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с
In the world as a whole fertility rates have fallen in the last 25 years.
D
In sub-Saharan Africa South Asia, and the Pacific, fertility rates have doubled in the last 25 years
E
Fertility rates in most high-income countries have risen in the last 25 years,

Answers

Evidence suggests that in the world today, c. as a whole fertility rates have fallen in the last 25 years.

The high population of the world today might seem as a result of increased fertility rates but it is not. It is rather a result of:

better medical care keeping people alive for longer lower mortality rates the higher population giving birth to even a few children leading to a multiplier effect

In actuality, education and the increased cost of living has led to a general fall in fertility rates across the world such that in Africa, the rate has fallen by about 2 children per woman since 1980.

We can therefore conclude that in general, fertility rates have fallen across the globe.

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Which directions do the wind blow in Arctic Circle and in the Tropic of Cancer?

Answers

Answer:

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Explanation:

What characteristics of the Mississippi River make it important to national trade? Select three options.

It is used for business and tourism.
It supplies water to nearby communities.
It is a migration route for many forms of wildlife.
It serves as a sewage system for nearby communities.
It flows through the United States to the Gulf of Mexico.

Answers

Answer:

1,2,4

Explanation:

For national trade a migration system doesn't have anything to do with that and I've never heard the Mississippi River serving as a sewage system though it could be true.

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Answers

Answer:

The Tell Qaramel ruins are located in Western Syria.


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Answers

The atmosphere, therefore, consists of gases that envelop the Earth. ... The lithosphere refers to the rocks of the Earth's surface and upper mantle, or the depth of the plates. The atmosphere, hydrosphere, and lithosphere interact with each other to make our planet liveable.

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Answers

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Answer:

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Answers

Answer:

Answers C, dude it so easy there are Minerals

Explanation:

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Answers

Answer:

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because it's the north pole so u wouldn't travel west,south,or east because the north pole is north

As you travel to the north pole from anywhere on earth, you are going in the north direction as the north pole indicates the north direction.

What do you mean by north pole?

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