Which function is linear?

Which Function Is Linear?

Answers

Answer 1

The function that is linear is (a) x/8-2.

What is function?

In mathematics, a function is a rule that maps each element (input) from a set called the domain to a unique element (output) from a set called the range. A function can be thought of as a machine that takes an input and produces an output based on the given rule. The input variable of a function is typically denoted by a symbol such as x, and the output variable is denoted by a symbol such as y. The function itself is denoted by a symbol such as f, and the rule that relates the input and output is usually expressed using algebraic or other mathematical expressions.

Here,

In option (a), the coefficient of x is 1/8, which means that for every 1 unit increase in x, y decreases by 1/8 units. This constant rate of change satisfies the definition of a linear function. To be linear, a function must have a constant rate of change, meaning that as the input variable (x) increases or decreases by a certain amount, the output variable (y) changes by a constant amount.

Options (b), (c), and (d) are not linear functions because they contain a term with x raised to the power of 2 or -1, which causes the rate of change to vary depending on the value of x. Therefore, their rates of change are not constant, and they cannot be linear functions.

To check whether a function is linear, you need to determine whether it satisfies the criteria of a linear function. A linear function is a function that has a constant rate of change, meaning that as x increases by a certain amount, y increases by a consistent multiple of that amount. Mathematically, a linear function can be written in the form:

y = mx + b

where m is the slope (rate of change) of the line, and b is the y-intercept (the point where the line intersects the y-axis).

To check whether a function is linear, you can plot its graph and see if it forms a straight line. If the graph is a straight line, then the function is linear. However, if the graph is curved, then the function is not linear.

To know more about function,

https://brainly.com/question/19918770

#SPJ1


Related Questions

What determines genotype in real life?

Answers

Answer:

DNA sequencing and other methods can be used to determine the genotypes at millions of locations in a genome in a single experiment.

differenciate between population density and pupulation distribution

Answers

Population density is an overall measure of the number of people living in a given area, typically expressed as the number of people per square mile or per square kilometer. It is calculated by dividing the total population of an area by the total land area.

Difference between population density and population distribution

Population distribution is the pattern of how people are dispersed over a given area. It shows where people live and how densely populated an area is. It is usually measured by looking at the geographic locations of people and plotting them on a map.

Population density is a measure of the number of people living in an area, usually expressed as people per square mile or per square kilometer. Population distribution is the pattern of how people are dispersed over a given area. It is usually measured by looking at the geographic locations of people and plotting them on a map. Population density and population distribution are important to consider when looking at an area's population, as they can help determine how densely populated an area is and where people are living.

Learn more about population here:

https://brainly.com/question/25630111

#SPJ1

What does this sentence mean?
“Extinction events, of course, result in loss of species. At the same time, however, they also encourage different species to evolve.”?

Answers

Mass extinctions lessen resource competition by removing a large number of species from an environment quickly and leave behind a large number of open niches for surviving lineages to develop into.

What are the reasons for the extinction of species and decline in biodiversity?

The variety of all living creatures on our world, known as biodiversity, has been alarmingly dropping in recent years, largely as a result of human activities including pollution, land use changes, and climate change.

What procedure causes the extinction of species?

The three main factors contributing to extinctions today are habitat loss, the introduction of exotic species, and overfishing. In the upcoming century, extinctions are expected to increase significantly as a result of climate change. Habitat loss results from river damming, deforestation, and other activities.

To know more about species visit:-

brainly.com/question/13259455

#SPJ1

9. The diagram shows rock layers found in a mountain. Some of the rock layers have fossils. The ages of the fossils are given in the table. write one letter in each blank to correctly complete the sentence ​

Answers

One letter in each blank is 1. C. 1,2.  D. 2, 3. F. 6,4. I. next to

Describe Fossils?

Fossils are the preserved remains or traces of organisms that lived in the past. They can be found in various forms, including bones, teeth, shells, imprints, and tracks. Fossils provide a window into the history of life on Earth and offer valuable insights into the evolution of different species over millions of years.

Fossils are typically formed when an organism's remains are buried in sediment or other materials, such as ash from volcanic eruptions. Over time, the sediment or other materials harden and eventually form rock, preserving the organism's remains. Fossilization can also occur through other processes, such as petrification or replacement, where the original organic material is replaced by minerals.

Fossils are important to scientists because they provide evidence of how life on Earth has evolved over time. By studying fossils, scientists can learn about the anatomy, behavior, and habitats of extinct species, as well as how they are related to modern organisms. Fossils also provide a record of major events in Earth's history, such as mass extinctions and the evolution of different ecosystems.

1. C. 1

2. D. 2

3.  F. 6

I. next to

To know more about species visit:

https://brainly.com/question/22813932

#SPJ1

The statement suggests that the fossil found in layer 7 is approximately 1 million years old. Furthermore, there are 3 layers that are older than layer 7, and 2-3 layers that are younger than layer 7.

This information can be used to infer the relative ages of the rock layers, as older rocks are typically found below younger rocks due to the principle of superposition.

The principle of superposition states that in an undisturbed sequence of sedimentary rocks, the oldest rocks will be at the bottom, while the youngest rocks will be at the top. Therefore, we can conclude that the 3 layers that are older than layer 7 are located below it, while the 2-3 layers that are younger are located above it.

The statement also mentions that younger rocks are deposited above older rocks. This refers to the process of sedimentation, where new layers of sedimentary rock are deposited on top of older layers over time. This process can help to explain the relative ages of the rock layers and the fossil found in layer 7.

Overall, this statement provides some basic information about the relative ages of the rock layers and the fossil found in layer 7, and how they can be used to understand the geological history of the area.

To know more about sedimentation, visit:

https://brainly.com/question/14306913

#SPJ1

3. What muscle is known as the calf muscle?
O rectus femoris
O internal oblique
O tibialis anterior
O gastrocnemius

Answers

gastrocnemius

Explanation:

Your calf muscle consists of two main muscle the gastrocnemius and the soleus. Because these two muscles come together above your heel and attach to the Achilles tendon, some providers refer to the gastrocnemius and soleus as one large muscle with two sections.

modified viruses can be used to introduced to modify genes into human cells true or false 

Answers

Answer:

True. Modified viruses can be used as a tool to introduce desired genes or modifications in human cells, a technique known as gene therapy. However, this is a highly specialized field and must be performed under strict laboratory conditions by trained professionals to ensure safety and efficacy.

Write only 3 letter abbreviations in capital letters for the amino acid in each box

Answers

ALA - Alanine

ARG - Arginine

ASN - Asparagine

ASP - Aspartic acid

CYS - Cysteine

GLN - Glutamine

GLU - Glutamic acid

GLY - Glycine

HIS - Histidine

ILE - Isoleucine

LEU - Leucine

LYS - Lysine

MET - Methionine

PHE - Phenylalanine

PRO - Proline

SER - Serine

THR - Threonine

TRP - Tryptophan

TYR - Tyrosine

VAL - Valine

What are amino acids?

Amino acids are organic compounds that are used to construct proteins. They are composed of an amino group (-NH2), a carboxyl group (-COOH), and a side chain (R group), all attached to a central carbon atom (alpha carbon). There are 20 different amino acids that can be found in proteins, each with a different side chain, which gives them unique chemical properties.

To know more about proteins, visit:

https://brainly.com/question/29776206

#SPJ1

Which words from the article help the reader to understand the importance of a special habitat?

OPTIONS

Answers

Answer:

Since there is no specific article mentioned in the question, I will provide a general answer.

The importance of a special habitat can be conveyed through various words and phrases depending on the context. Some examples of words and phrases that may help the reader understand the importance of a special habitat are:

Unique

Endangered

Fragile

Ecosystem

Biodiversity

Rare

Sensitive

Threatened

Niche

Keystone species

Habitat loss

Conservation

Preservation

Sustainability

Irreplaceable

These words and phrases may be used to describe the ecological, scientific, or cultural value of a special habitat and emphasize the need to protect it from human activities and other threats that may cause harm or destruction.

I Hope This Helps!

Drag and drop to match the correct mitosis phase name and description to the
corresponding image that shows the cell in that stage of cell division.
DNA condensing. In
addition, the nuclear
envelope just begins
to break down
The nuclear
membrane is gone.
The chromosomes
line up in the center.
Centrioles move to
opposite ends of cell.
2
Sister chromatids are
pulled apart by
microtubules.
3
The nuclear
membrane reforms
around the
chromosomes,
chromosomes begin
to unwind and
spread out again.
4
Telophase
Prophase
Anaphase
Metaphase
Match the correct mitosis phase name and description to the corresponding image that
shows the cell in that stage of cell division.

Answers

Answer:

Explanation:

Prophase - DNA condensing. In addition, the nuclear envelope just begins to break down.

Metaphase - The chromosomes line up in the center. Centrioles move to opposite ends of the cell.

Anaphase - Sister chromatids are pulled apart by microtubules.

Telophase - The nuclear membrane reforms around the chromosomes, chromosomes begin to unwind and spread out again.

give three functions of a fruit

Answers

Answer:

please make me brainalist and keep smiling dude I hope you will be satisfied with my answer

Explanation:

A fruit protects the immature seeds from animals and extreme climatic conditions. It stores food material. It attracts animals that help in dispersing or scattering the seeds to distant places.

banana
Boost your digestion and heart health

What is a petrified fossil and how are they formed?

help me plss

Answers

Answer:

Petrification (petros means stone) occurs when the organic matter is completely replaced by minerals and the fossil is turned to stone. This generally occurs by filling the pores of the tissue, and inter and intra cellular spaces with minerals, then dissolving the organic matter and replacing it with minerals.

Petrification occurs when the organic matter is completely replaced by minerals and the fossil is turned too stone. This generally occurs by filling the pores of the tissue, and inter and intra cellular spaces with minerals, then dissolving the organic matter and replacing it with minerals.

Why might it be helpful for an organism to have different types of connective tissue?

Answers

Answer:

a

Explanation:

becusw it ahfhhjddjdudjsjejdjdjdjdhshssjs

Of the following, which agricultural operation increases carbon sequestration?
Please choose the correct answer from the following choices, and then select the submit answer button.
Answer choices

feedlots in CAFOs

poultry houses

cow-calf operations

pens in long barns

Answers

Poultry houses. When carbon is stored in materials like subsurface geological formations or rocks, it is known as geological carbon sequestration.

This method, which is entirely artificial or "direct," is an efficient means of reducing emissions caused by activities like manufacturing or construction. Recent developments demonstrate that carbon can be sequestered more successfully and on larger proportions.

One of the most significant issues facing the poultry industry in all facets of production is air pollution in the environment where chickens are kept. Ammonia is a gas that poultry houses may release, and it is potentially deadly. If this gas is present in the air at levels over the safe threshold (15 ppm), terrible things will happen. Four primary gases made up the majority of the greenhouse gases released from poultry houses (carbon dioxide, nitrous oxide, methane and hydrogen sulphide).

Learn more about air pollution here:

https://brainly.com/question/18951513

#SPJ1

what does it mean if my bowl movements are neon green and shiny? I have a normal diet so I'm not sure please help!​

Answers

Answer:

Green stool often occurs with diarrhea, so drink plenty of fluids and seek immediate medical attention if you or your child becomes dehydrated. So this means that you have diarrhea. Call a doctor, if you have green poop more than a few days.

Explanation: Hope this help and hope you fell better!

My mother has blood type AB and my father has blood type O.
If I have blood type O, which of the following is the likeliest:
A. My father is not my father
B. I was adopted

Answers

My mother has blood type AB and my father has blood type O.If I have blood type O, which of the following is the likeliest: A. My father is not my father

What if the father's name is O and the mother's name is AB?

If the father has the blood group O, his genotype is IOIO or (ii). Because the mother is of blood type AB, her genotype is IAIB. Combinations of these two groups might result in offspring with genotypes IAIO or IBIO, giving them blood groups A or B, respectively.

The father's genotype, or possible genes he may pass on, is O O, while the mother's is A B. The children's genotypes would be AO & BO.

learn more about genotype

https://brainly.com/question/902712

#SPJ1

What is Kobe B. Bryant's blood type?
a. A
b. B
c. AB
d. O

Answers

There is no publicly available information about Kobe Bryant's blood type.

I'm afraid there is no public info on this

Arable land is used to grow crops and feed livestock.

True
False

Answers

Answer:

True.

Explanation:

Arable land is defined as land that is suitable for farming, and is typically used for the production of crops and livestock feed. The term "arable" is often used to describe land that has been cultivated, plowed, and is ready for planting. This land is usually nutrient-rich and capable of supporting a variety of crops such as wheat, rice, corn, and soybeans, as well as forage crops for livestock such as alfalfa, clover, and grasses.

Farmers rely on arable land to produce food and feed for animals, and this land is a crucial resource for meeting the world's growing demand for agricultural products. Arable land is a finite resource, and it is important to use it efficiently and sustainably to ensure that future generations have access to the resources they need to produce food and feed for a growing global population.

What feature of Earth's surface is discussed in this box?

Answers

Answer:

Please make me brainalist and keep smiling dude I hope you will be satisfied with my answer

The chemical bonds holding nucleotides together within a DNA strand are weaker than those holding the two strands of DNA together true or false 

Answers

False the chemical bonds which holds two strands of dna together are called hydrogen bonds

HELP.I think I got digital eye strain but I think it got worse I played on my iPad yesterday for a long time and both my eyes got red like strings kinda big going towards my eyes when I slept and when I woke up today! My eyes were still kinda the same but I slept at 10pm and it’s kinda blurry when I look from far

Answers

Answer:

It’s just eye strain from the light emitted from your iPad.

Define the definition: Locus

Answers

Answer:

The location of a specific gene on chromosomes.

What is definite growth

Answers

A form of growth where a maximum size is reached beyond which there is no further increase, i.e. growth is limited.

which of the following is not used as part of the process of polymerase chain reaction.
a a thermocycler
b dna primers
c a virus
d a dna polymerase

Answers

Answer:

The correct answer is C) a virus.

Explanation:

Polymerase chain reaction (PCR) is a laboratory technique used to amplify specific DNA sequences. The PCR process involves several key components, including a thermocycler, DNA primers, and a DNA polymerase. However, a virus is not typically used as part of the PCR process.

The thermocycler is used to control the temperature of the reaction mixture, which allows for the denaturation (separation) of double-stranded DNA, annealing of the DNA primers to the single-stranded DNA template, and extension of the primers by the DNA polymerase.

The DNA primers are short pieces of DNA that are complementary to the target DNA sequence and provide a starting point for DNA polymerase to extend and copy the DNA sequence.

The DNA polymerase is the enzyme responsible for adding nucleotides to the growing DNA chain during PCR.

In summary, a virus is not used as part of the process of polymerase chain reaction, while a thermocycler, DNA primers, and a DNA polymerase are all essential components.

What are the effects of dam
removal on a river and its
watershed? of water does

Answers

Dam removal can affect water quality through the downstream transport of sediment-bound contaminants (e.g., organic substances and heavy metals) and the alteration of biogeochemical cycles.

help help helppp!
What is the main strategy birds use to maintain their body temperature?
A-using energy from food to keep their bodies warm
B- nesting in warm, sunny location
C- eating warm food on cold days
D- spending the day in the shade of trees

Answers

The main strategy birds use to maintain their body temperature is A- using energy from food to keep their bodies warm.

Birds are endothermic, which means they generate their own body heat. They have a high metabolic rate and generate heat by breaking down food. This heat is then used to maintain their body temperature. To conserve this heat, birds have adaptations such as feathers, which provide insulation, and a high surface-to-volume ratio, which reduces heat loss. Birds can also fluff up their feathers to create air pockets that trap heat close to their bodies.

2.05b thinking questions

Answers

The sea urchin is a slow-moving creature with a distinctive look. Its numerous sharp spines serve as an adaption to deter many possible predators. The correct option to this question is D.

What further differences do urchins have that might serve as survival adaptations?They have evolved a sharp beaked mouth, resembling the beak of a parrot, as an adaptation to this physical limitation. Its incredible camouflage skills for hunting prey and avoiding predators is another adaption.Purple sea urchins have developed lengthy spines that can extend up to half the width of their bodies, making some of them 3–4 inches across. These spines are efficient in discouraging predators who might consider this pincushion-shaped mammal to be an unappealing meal source.

For more information on urchins kindly visit to

https://brainly.com/question/495746

#SPJ1

Quarter 1 Summative Assessment

Answers

Answer: ik this might not help but you have to put the specific question you want answered in or no one can help you

Explanation:


3. If cells are placed in a strong salt (hypertonic) solution, water will
3% salt
1% salt
a. pass from the salt solution to the cells
b. pass from the cells to the salt solution
c. stay in the cell
d. pass back and forth
See diagram below.

Answers

Answer:

The correct answer is b. pass from the cells to the salt solution.

Explanation:

When cells are placed in a hypertonic solution, such as a strong salt solution, the concentration of solutes outside the cell is higher than the concentration inside the cell. This creates a concentration gradient that drives water out of the cell in an attempt to balance the concentration of solutes.

As a result, water will pass from the cells to the salt solution, causing the cells to shrink and become dehydrated. This process is known as crenation.

In the given scenario, both the 3% and 1% salt solutions are hypotonic to the strong salt solution, meaning that they have a lower concentration of solutes than the strong salt solution. Therefore, water would also pass from the cells to these solutions, although to a lesser extent than in the strong salt solution.

PLEASEEE
Electric vehicles have less range they can drive compared to plug-in hybrid electric vehicles.

True
False

Answers

Answer:

This statement is False.

Explanation:

Plug-in hybrid electric vehicles (PHEVs) have both an electric motor and a gasoline engine, while electric vehicles (EVs) only have an electric motor powered by a battery. EVs typically have a larger battery capacity and range than PHEVs, which rely more heavily on their gasoline engines for longer drives. While the range of EVs can still be limited by the capacity of their batteries, they generally have a longer range on a single charge compared to PHEVs. However, it is worth noting that both EVs and PHEVs can vary in range depending on their specific models and battery capacities.

In fruit flies, brown bodies are dominant to black bodies. cross two heterozygous fruit flies. determine the phenotypic and genotypic ratios. then determine how many fruit flies, if 200 are born, will have black bodies

Answers

Answer:Cross a black fruit fly with a heterozygous fruit fly. Determine the phenotypic and genotypic rations of their potential offsping

Explanation:

Other Questions
the registered nurse is observing a newly hired nurse perform a dressing change on a client with a leg ulcer. an enzymatic agent is being used to treat the ulcer. which observation, if made by the registered nurse, would indicate a need for further teaching with the newly hired nurse? In 2019, the Pew Research Center surveyed Americans about their household's access to computers and the Internet.The chart above shows the percentage who reported having access to a broadband Internet connection from 2000 - 2019, categorized as either "urban", "suburban", or "rural":Which of these would be the most effective way for the American government to reduce the digital divide demonstrated above, between rural households and suburban/urban households?A partnership with an Internet carrier to install broadband Internet infrastructure in rural areas and provide household access at discounted rates.Government-subsidized computer training classes in all communities.Discounted rates for school districts to install high speed Internet connections.A partnership with an Internet Service Provider to offer Internet access to low-income households at discounted rates. I tried and it did not make sense help xyz corp. just paid an annual dividend of $3 per share on its common stock. this dividend is expected to grow at a 10% annual rate for two years, after which it is expected to grow at a 6% annual rate forever. if the required return is 10%, what value would you place on this stock? what was the central question confronted by the second continental congress when it began meeting in may 1775? meg is attending the wedding of a couple she knew from high school. she asks a man she just met to attend the wedding with her, as she wants everyone to think she's seeing someone. this represents what function of partner involvement? I need the questions 25,28 and 29 Determina analtica y geomtricamente el vector que inicia en el punto P(3,3) y termina en el puntoQ(-2,2), da el vector de igual magnitud y sentido contrario al vector anterior. What is the maximum ramp angle that still allows the crate to remain at rest? (Make sure the coefficient of friction is 0.7.) .Mass (m) = 300kg Kay is researching the health benefits of avocados.She finds an article on the website tracyshealthproducts.com.Which of the following can assure Kay that the content is credible?A) The site sells products made from avocados.B) The article's author has been a nutritionist for the last three years.C) The firm that runs the site is located four blocks from her home.D) The author has over 8,000 connections on LinkedIn. the scientific discipline of classifying organisms into increasingly more inclusive groups according to an international classification standard is known as what justify the claim by describing an example of a behavioral event in plants that occurs in response to a 24-hour light/dark cycle Find the missing length indicated. * A) 12 C) 8 A OB D 16 24 36 B) 18 D) 15 The function S=m^(2)+6m+8 models the growth of book sales in m months, where S is an amount in thousands of dollars. In how many months do book sales reach $80,000 ? which xxx completes the insertion sort singly linked() python function? def insertion sort singly linked(self): before current what is the average rate of change of f(x) from x = -3 to x = 6? f(x) = x^2 + 4x 15 enter your answer in the blank. Determine if the given functions are even, odd or neither f(x)=x^2-7 15. why is it important to take both the polarity of the bonds and the shape of the molecule into consideration when determining the polarity of the molecule? The manager at Braums recorded the orders of their customers over the last hour and had the following number of ice cream cones 4 vanilla, 5 chocolate, 2 peanut butter cup, 3 strawberry, and 2 coffee. Based on these numbers, what is the probability of the next customer ordering peanut butter cup? Write your answer as a decimal the average athlete is able to begin activity 90 days after having a knee operation. the standard deviation is 15 days. fifty percent of athletes are able to participate within how many days? round to the nearest day.