What are the roots of this function? f(x) = x2 – 8x + 12

Answers

Answer 1
6 and 2 are the roots

Related Questions

Describe how homer develops odysseus's character throughout the passage. then analyze how his characterization of odysseus affects the way the audience relates to the character. be sure to use specific details from the text to support your ideas.

Answers

The description and analysis of how homer develops odysseus's character throughout the passage is; As detailed below

Describe the Character in the passage excerpt?

In the given excerpt, we see that Homer portrays Odysseus as a kind of guy with both brains and brands.

Now, Odysseus  is further described as being both physically adept as well as very intelligent and good with quick thinking in high pressure situations. However, Odysseus could sometimes be very foolish.

An example of Odysseus foolishness was when he taunted the Cyclops Pholyfemus. Thus, Odysseus is a very likeable character that people can easily relate to.

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Midwest sales, inc. has a stated written policy by which all similarly situated employees are to be paid the same salary. john doe (a male), a senior executive vice president for sales and marketing for midwest's zone a, is paid $100,000 a year by midwest. jane roe (a female), a senior executive vice president for sales and marketing for midwest's zone b is paid $95,000 a year by midwest. jane has worked for midwest two years longer than john. the descriptions of john and jane's respective jobs are identical. what is the most accurate statement concerning any legal challenge to the differential in pay between what midwest pays john and jane:

Answers

The most accurate statement concerning any legal challenge is that pay difference is unlawful unless Midwest can establish some significant difference between Zone A and Zone B.

Which legislation guided this practice?

Equal Pay Act of 1963 was the legislation that stated that both men and women must earn the same salary for similar jobs.

The legislation prohibited discimination of gender when establishing a person's salary.

However, there is an exception which is if work carried out in Zone A is much more demanding, challenging, difficult, important or relevant than the work carried out in Zone B, then, the company will be vindicated from any legal matter.

Thereforel the Option B is correct.

Missing options "a) The pay difference is not unlawful and cannot be challenged because there is less than a 10% pay difference between what Midwest pays John and Jane.b) The pay difference is unlawful, unless Midwest can establish some significant difference between Zone A and Zone B.c) The pay difference is not unlawful and cannot be challenged in this instance because the "seniority" defense allows for different pay for men and women even though they may be performing "substantially the same job".d) The pay difference is unlawful, not because of the gender difference between John and Jane, but because Midwest is violating its own stated pay policy.

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Y = cot(x – 3) 3 units up 3 units down 3 units left 3 units right

Answers

Answer:

3 units right

Explanation:

Graph the trigonometric function using the amplitude, period, phase shift, and vertical shift.

Vertical Asymptotes: x = 3 + πn where n is an integer

Amplitude: None

Period: π

Phase Shift: 3 (3 to the right)

Vertical Shift: None

Answer:

D. 3 units right

Explanation:

A neutral metal sphere is touched by a negatively charged metal rod. during the process, electrons are transferred from the _____ to the _____ and the sphere acquires a _____ charge

Answers

From the rod to the sphere, negative.

can someone write a 1200 word essay for my explaining why plants are important i dont really know how to do this and i need help.

Answers

Answer:

Plants provide us with food, fiber, shelter, medicine, and fuel. The basic food for all organisms is

produced by green plants. In the process of food production, oxygen is released. This oxygen, which we

obtain from the air we breathe, is essential to life. The only source of food and oxygen are plants; no

animal alone can supply these. Shelter, in the form of wood for houses; and clothing, in the form of

cotton fibers, are obvious uses of plant materials. But we must not forget fuel, furniture, paper

products, certain medicines like aspirin, and many other products like perfume and chewing gum. To

these tangible aspects of the plant world we must also add the importance of beauty and relaxation

derived from plants. Since animals are surrounded by and dependent upon plants, the factors that

influence plant growth, structure, and distribution, affect the animal world as well.

Plant - Animal Relationships

Forests, lawns, streams, and marshes are all habitats that are easily recognized as unique biotic

communities. A community is a naturally occurring, interactive assemblage of plants and animals living

in the same environment. The interaction between plants and animals often exists out of the need for

food, protection, transportation, and reproduction. The different kinds of interaction possible between

organisms are extremely important in determining the abundance of species. If the interaction between

species is beneficial, it is described as mutualism. Some of the most complex mutualistic relationships

evolved between plants and pollinators. If the interaction proves disadvantageous, it is referred to as

competition. Commensal relationships, in which one species benefits and the other is unaffected, are

common between plants and animals. For example, when a bird builds a nest in a tree, the bird benefits

and the tree is (usually) unharmed. Other relationships may positively affect one population and be

detrimental to the other. Such relationships involve predation and parasitism. In predation, one

organism directly kills and consumes its prey. Parasitism differs in that parasites live on or in the prey,

but may not kill it outright. A good example of parasitism is mistletoe growing on a tree.

Ecosystems

An ecosystem is the biotic (living) and abiotic (nonliving) factors

of an ecological community considered together. Ecosystems contain

four components: the physical environment (abiotic), living things

(biotic), energy input and use, and nutrients that cycle between the

biotic and abiotic components. Based on this definition, ecosystems

can vary from large unbroken tracts of forest to small ephemeral ponds

to backyards.

Explanation:

Which mixture can be separated through filtration because one of the substances is insoluble in water? a

Answers

Answer:

Sand

Explanation:

How will the decrease in the raccoon population affect the other populations?

Answers

The predator of the raccoon on the higher portion of the food chain will have a decrease in food availability so then their population will decrease.

Which property is characteristic of alkenes, alkynes, and aromatic hydrocarbons? their vapor pressures decrease as their size increases. their ph values are greater than 7. they are insoluble in water. they are soluble in water.

Answers

The property that is characteristic of alkenes, alkynes, and aromatic hydrocarbons is; C: they are insoluble in water

What are the properties of the compounds?

From density tables, we will discover that the density of alkynes is lower than the density of water. Likewise, the densities of alkenes and aromatic hydrocarbons are as well lower than the water.

Now those compounds are insoluble in water because they have non polar characteristics and are also lighter than water due to the fact that their density is lower than water and as such they are insoluble in water.

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Answer:

C. They are insoluble in water.

Explanation:

Correct on Edge 2022!!!

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Building sheep pens : darsh and darpan are fencing off a large rectangular area to build some temporary holding pens. to prep the males, females, and kids, they are separated into three smaller and equal-size pens partitioned

Answers

The larger rectangle will be a square with sides of 96 ft while the pens will have 96 ft of length and 31 ft of width

How to Maximize Area of rectangle?

The side lengths of the big rectangle are x and y and so we have the following expression for its area A:

A = x*y

This is tied to the constraint that the perimeter should not be larger than the available fencing , Thus;

2x + 2y = 384   (All the fencing is used to maximize the area)

y = (384 - 2x)/2

y = 192 - x

Put 192 - x for y in A to get;

A = x(192 - x)

A = 192x - x²

Completing the square gives;

A = 9216 - (x - 96)²

Thus;

A is maximum at;

x - 96 = 0

x = 96 ft

y = 192 - 96

y = 96 ft

Then since we maximised the area of the bigger rectangle , we have maximised the area of the smaller pens. The dimensions will be;

x_small = 96 ft /3

x_small = 31 ft

y_small = 96 ft

Complete question is;

Building sheep pens: It's time to drench the sheep again, so Chance and Chelsea-Lou are fencing off a large rectangular area to build some temporary holding pens. To prep the males, females, and lambs, they are separated into three smaller and equal-size pens partitioned within the large rectangle. If 384 ft of fencing is available and the maximum area is desired, what will be (a) the dimensions of the larger, outer rectangle? (b) the dimensions of the smaller holding pens?

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The main difference between ponds and lakes is that ponds brainly

Answers

Answer:

A body of water is called a pond when it is small and enclosed, while a lake is large and open. There are many lakes in the world, even though there are more ponds than lakes

Explanation:

It is enough to describe the proposed business as a sole proprietorship in the business description section

Answers

The statement is true logically, as it is enough for a business owner to describe the proposed business as a sole proprietorship.

What is sole proprietorship?

A sole proprietorship is a form of business organization that is owned and operated by a single person. In this form of business, all the rules, policies, liabilities, profits and losses are under the control of the business owner.

The given statement is true because the sole proprietorship form of business is usually on a small scale and owned by a single person, therefore it is enough.

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A heavy lab cart moves with kinetic energy kinit on a track and collides with a lighter lab cart that is initially at rest. the carts bounce off each other but the collision is not perfectly elastic, causing the two-cart system to lose kinetic energy klost . a student wonders if the fraction of kinetic energy lost from the two-cart system during the collision depends on the speed of the first cart before the collision and plans to perform an experiment.

Answers

The hypothesis; greater fraction of kinetic energy is lost from the system during the collision when the speed of the first cart is greater is; Correct

What is the Hypothesis of the Collision?

In an Inelastic Collision, energy is not conserved . Now, the loss of energy could be in the form of friction, vibrational energy, sound, heat energy, e.tc.

Now, for example frictional energy is proportional to the velocity. The, the greater the velocity, the greater the loss of energy. This is also true about  vibrational energy, sound, heat energy, e.tc.

Thus, we can conclude that the hypothesis is correct.

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How do religious organisations support communities affected by gender-based violence brainly

Answers

The religious organizations are the groups that are formed for the development of the religious groups and the communities, however the gender based religious customs affects the violence in the group.

What is the role of gender in a religion?

The religion is given as the following of the customs and the practices by all. The religious practices are however different with the gender as well.

The support of the religious practices for a particular gender and the discrimination by the religious organizations adds to the religious violence.

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Look at the feet of this peregrine falcon. explain how they help make this bird well-adapted to feed on other birds and mammals.

Answers

Evolution via natural selection makes this bird well-adapted to feed on other animals such as birds and mammals.​

What is natural selection?

Natural selection is the differential survival and reproduction process/mechanism by which evolution occurs.

Natural selection act to select the fittest well-adapted organisms in particular environmental conditions.

This process (natural selection) is the main mechanism for which new adaptations emerge in nature.

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Consider this expression. select the correct statements. 8(4y + 7) + 9

Answers

The provided algebraic expression 8(4y + 7) + 9 is a binomial expression, which has two terms in its simplified version.

What is polynomial?

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).

Types of polynomial-

Monomial- Monomial type of polynomial contains only one term such as ax, by etc.Binomial-Binomial type of polynomial contains exactly two term such as ax+c, by+d etc.Trinomial-Trinomial type of polynomial contains three term.

The given expression in the problem is,

[tex]f(x)=8(4y + 7) + 9[/tex]

Solving it further,

[tex]f(y)=8(4y + 7) + 9\\f(y)=32y+56+9\\f(y)=32y+65[/tex]

The above polynomial has two terms. First is 32y and second one 65.

Hence, the provided algebraic expression 8(4y + 7) + 9 is a binomial expression, which has two terms in its simplified version.

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In a criminal case, the state’s case is represented by the _____.

Answers

Answer:

C - prosecutor

Explanation:

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What are the two major categories of leadership styles?

Answers

Answer:

instrumental and expressive

Explanation:

Which details should be included in a paraphrase of the passage? select three options. cassius retells the story of the river to show that caesar was stronger than cassius and other ordinary men. on a cold and windy day while the waves of the river beat upon the shores. even though i was still dressed in armor, i jumped in on his dare and asked him to follow me. caesar and cassius argued about the river. before we could reach our determined point, caesar started to sink, and cried out to me for help.

Answers

The details that should be included in a paraphrase of the passage from act 1, scene 3, of Julius Caesar are;

On a cold and windy day while the waves of the river beat upon the shores.Even though I was still dressed in armor, I jumped in on his dare and asked him to follow me.Before we could reach our determined point, Caesar started to sink, and cried out to me for help.

What is a paraphrase?

Paraphrasing means the restatement of a text in different words, often to clarify meaning. It helps to understand the text in a simpler context.

The excerpt from act 1, scene 3, of Julius Caesar can be paraphrased using the following details;

Even though I was still dressed in armor, I jumped in on his dare and asked him to follow me.On a cold and windy day while the waves of the river beat upon the shores.Before we could reach our determined point, Caesar started to sink, and cried out to me for help.

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Answer:

The answers will be:

2 - On a cold and windy day while the waves of the river beat upon the shores.

3 - Even though I was still dressed in armor, I jumped in on his dare and asked him to follow me.

5 - Before we could reach our determined point, Caesar started to sink, and cried out to me for help.

Explanation:

How this helped !

Which of these writing assignments suggests an informal style?

Answers

Answer:

What are the assignments?

Explanation:

Answer:

what are te assignments

Explanation:

so i can answer

Which is the best definition of the word garrulous as it is used in this sentence? a) cruel and unkind b) overweight and generally unhealthy c) quiet, untalkative, and mostly silent d) excessively talkative in a rambling, roundabout manner

Answers

Answer:

d) excessively talkative in a rambling, roundabout manner

Explanation:

Place the following substances in order of decreasing vapor pressure at a given temperature. pf5 brf3 cf4

Answers

The order of decreasing vapor pressure at a given temperature is CF4 > PF5 > BrF3.

What is Vapor pressure?

This is defined as the pressure exerted by the gas in equilibrium with a solid or liquid in a closed container at a given temperature.

CF4 has very little vapor pressure as a result of its symmetrical structure which is why it has the least vapor pressure.

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A random sample of 150 students is chosen from a population of 5,000 students. the mean iq in the sample is 110, with a standard deviation of 10. what is the 95% confidence interval for the students' mean iq score? 100–120 107.9–112.1 108.4–111.6 108.66–111.34

Answers

108.4–111.6 is the answer

Determine the ph of a 0. 22 m naf solution at 25°c. The ka of hf is 6. 8 × 10-4

Answers

The pH shows the degree of acidity or alkalinity of the solution. The pH of the solution is 1.92.

What is pH?

The term pH is defined as the hydrogen ion concentration of the solution. We have to set up the ICE table for this reaction as shown below;

             HF +  H2O ⇄  H3O^+  +   F^-

I           0.22                    0              0

C           -x                         +x             +x

E         0.22 - x                 x                x

Ka = [H3O^+] [F^-]/[HF]

6. 8 × 10^-4 = x^2/ 0.22 - x  

6. 8 × 10^-4(0.22 - x) = x^2

x^2 + 6. 8 × 10^-4x - 1.496 × 10^-4 = 0

x=0.012 M

Hence;

[H3O^+] = [F^-] = 0.012 M

pH = -log(0.012 M)

pH = 1.92

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Which person has based their investment plan on high risk options brainly

Answers

An example of peope whose investment plan on high risk options are those who deals on  Cryptocurrency or individual stocks.

Which is an high risk investment?

A high-risk investment is known to be a type of investment  where the likelihood of failed part of or all of the investment being lost, are said to be higher than the average.

Conclusively, Note that an example is Cryptoassets, Mini-bonds etc. are an example of high risk investment.

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How do brutus’s and caesar’s dilemmas in these passages contribute to meaning? both dilemmas are fueled by a desire for power. both dilemmas result in brutus and cassius conspiring against caesar. both dilemmas are revealed through soliloquies. both dilemmas lead to renewed trust and loyalties.

Answers

The Brutus’s and Caesar’s dilemmas in these passages contribute to meaning is both dilemmas lead to broken trust and loyalties.

What is passages reading?

Passage reading is the method of reading and understand the passages. In the passage reading, one has to answer the question related to passage after reading it.

The given passage is attached in the figure below. The options given for this passage are:

Both dilemmas are fueled by a desire for power. Both dilemmas result in brutus and cassius conspiring against caesar. Both dilemmas are revealed through soliloquies. Both dilemmas lead to renewed trust and loyalties.

Thus, the Brutus’s and Caesar’s dilemmas in these passages contribute to meaning because they are fueled by a desire for power.

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Answer:

B. both dilemmas result in Brutus and Cassius conspiring against caesar.

Explanation:

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What is the correct date format for mla citations?9 jan. 2014jan. 9, 20142014 jan. 92014 9 jan.

Answers

Answer:

A

Explanation:

9 Jan. 2014

Dr. norton puts a cat in the room with karl and prevents karl from avoiding or escaping the cat until karl’s anxiety naturally dissipates. the treatment is called

Answers

The treatment that Dr. Norton gives to address karl’s anxietyof Cats is referred to as; Flooding

What is the psychological disorder?

Karl’s fear of cats is classified as a generalized anxiety disorder.

An anxiety disorder is defined as a mental disorder whereby an individual responds to specific situations by showing excessive fear.

The symptoms of this anxiety disorders include, restlessness, tension, increased heart rate, hyperventilation and others.

This type of anxiety disorder can be treated by using using different means through psychotherapy means and in some cases through medication. However, the type of treatment used here is referred to as Flooding.

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Heather receives a phone call, in which an automated voice states that her credit card has been used fraudulently and that she must enter her 16-digit credit card number, using the keypad of her phone, to clear up the error. what should heather do next?

Answers

The next step which Heather should take is; to hang up and call her credit card company using the 1-800 number on the back of her card.

What is the position of the Character in the Passage?

From the story, we can see that Heather was a target of an attempted phone fraud whereby callers asked her to give her 16-digit credit card details such that the supposed error could be cleared up.

Now, It is pertinent to note that this information can be used to steal money from her checking account and Heather would best not give out such sensitive details over the phone, but call the company to see if the call was really from them.

Thus, the next step which Heather should take after she has gotten a fraudulent call asking for her credit card details is to hang up and call her credit card company using the 1-800 number on the back of her card to inquire  about the issue or report the attempted phone fraud.

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Researchers designed an experiment to test the hypothesis that the evolution of coloration in lice is driven by birds. researchers transferred 25 lice from a random sample of lice obtained from wild‑caught rock pigeons to each individual in groups of black pigeons and white pigeons. half of the pigeons from each color group were fitted with a harmless mouthpiece that stopped the beaks from entirely closing. the mouthpiece prevented pigeons from removing lice but did not affect the pigeons’ ability to feed. each pigeon was isolated and kept in identical environmental conditions for temperature, humidity, and amount of light. the lice have a generation time of 24 days. the researchers observed the phenotypes of the lice over a period of four years.

Answers

Phenotypic variation in louse body color in a population of lice would make it difficult for the louse to be spotted and picked off any pigeon's feathers.

What is phenotypic variation?

Phenotypic variation can be defined as the difference (variability) in the observable characters or attributes (phenotypes) of each organism in a specific population.

Based on the research, it is very important for phenotypic variation to exist in louse body color among other individuals in a population of lice because there are two different colors of pigeons, which would make it difficult for the louse to be spotted and picked off their feathers.

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A diagnosis of one type of cardiovascular disease does not necessarily indicate risk for another type.

Answers

The statement 'a diagnosis of one type of cardiovascular disease does not necessarily indicate risk for another type' is TRUE.

What does 'diagnosis' mean?

The word diagnosis refers to the causes and/or problems that lead to a given health (disease) condition.

Cardiovascular diseases are multicausal, which means that these conditions can be caused by different health problems.

In conclusion, the statement 'a diagnosis of one type of cardiovascular disease does not necessarily indicate risk for another type' is TRUE.

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show work to on how to answer the question I wrote at least 12 sentences that showed how I have used at least three of the concepts in this course. The verbs caer, leer, and oir change -i to a -y in the _________ person forms. Although the rates of depression appear to be higher in women, approximately _____ percent of men will experience a major depressive disorder at some point in their lives. In a DNA sample, 15% of the bases are thymine(T). What percentage of the bases in this sampleare adenine (A)?A 15%B 30%C 35%D 85% Why does tubman results undergroud trips worth this risk involved why or why not? Two gears are connected by a chain. The larger gear has a linear velocity of 17/6 inches per second. The angular velocity of the smaller gear is 34/3 radians per minute.What is the radius of the smaller gear?1.25 feet1.5 feet15 feet18 feet The structural continuity between the cornea and the sclera is called:. How come some people have order 130 in, 4 yd in 10 ft from greatest to least The ratio of boys to girls in the school band is 4:3. If there are 16 boys, how many boys and girls are in the band? A. 12 B. 28 C. 7 D. 21 Find two numbers that multiply to 10 and add to 11 Select the correct answer.Which expression is equivalent to the given expression? 51. Ch. 3: Lots of people can't find beauty in my neighborhood, butI can. Ever since elementary school, I've been making beautyout of everyday things--candy wrappers, pages of a newspaper,receipts, rip-outs from magazines. I cut and tear, arrange andrearrange, and glue them down, morphin them into somethingno one else thought they could be. Like me. I'm ordinary too"(pg. 10). Characterization: How is Jade's collaging art similar toher own life? How does this relate to the chapter 3 title in piecing me together I have a 97 and if I make a 0/300 on a project what will my grade be? can someone please help me with this question What are the solutions of this quadratic equation? Which audience would this passage be most appropriate for? Using the map above, what number is on state of Lowa Topic: Ch 1 The Devil's ArithmeticQ:How can you relate to Hannah so far? How is she similar to others?