Write a quadratic equation in standard form with the given roots. 3/2, 1/4
Answer:
The quadratic equation in standard form is [tex]y= x^{2}-\frac{7}{4}\cdot x +\frac{3}{8}[/tex].
Explanation:
From Algebra, we remember that the order of the polynomial indicates the number of roots contained within. The factorized form of a second order polynomial (quadratic equation) is now introduced:
[tex]y = (x-r_{1})\cdot (x-r_{2})[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]r_{1}[/tex], [tex]r_{2}[/tex] - Roots of the polynomial.
And the standard form of the quadratic equation:
[tex]y = a\cdot x^{2}+b\cdot x +c[/tex] (2)
Where [tex]a[/tex], [tex]b[/tex], [tex]c[/tex] are the coefficients of the polynomial.
Lastly, we proceed to perform algebraic operations until standard form is found:
1) [tex]r_{1} = \frac{3}{2}[/tex], [tex]r_{2} = \frac{1}{4}[/tex] Given
2) [tex]y = \left(x-\frac{3}{2}\right)\cdot \left(x-\frac{1}{4} \right)[/tex] By 1)/Definition of factorized form
3) [tex]y = \left[x+\left(-\frac{3}{2} \right)\right]\cdot \left[x+\left(-\frac{1}{4} \right)\right][/tex] Definition of subtraction
4) [tex]y = \left[x+\left(-\frac{3}{2} \right)\right]\cdot x +\left[x+\left(-\frac{3}{2} \right)\right]\cdot \left(-\frac{1}{4} \right)[/tex] Distributive property
5) [tex]y = x\cdot x +\left(-\frac{3}{2} \right)\cdot x +\left(-\frac{1}{4}\right)\cdot x +\left(-\frac{3}{2}\right)\cdot \left(-\frac{1}{4} \right)[/tex] Distributive and commutative properties
6) [tex]y = x^{2} + \left[-\left(\frac{3}{2}+\frac{1}{4}\right)\right]\cdot x +\left(-\frac{3}{2} \right)\cdot \left(-\frac{1}{4} \right)[/tex] Distributive and associative properties/[tex](-1)\cdot a = -a[/tex]
7) [tex]y = x^{2}+\left(-\frac{7}{4} \right)\cdot x + \frac{3}{8}[/tex] [tex]\frac{a}{b}\times \frac{c}{d} = \frac{a\cdot c}{b\cdot d}[/tex]/[tex](-a)\cdot (-b) = a\cdot b[/tex]
8) [tex]y= x^{2}-\frac{7}{4}\cdot x +\frac{3}{8}[/tex] Definition of substraction/Result
Which human activity do you think is contributing most to desertification?
Answer:
Overgrazing is the major cause of desertification worldwide. Other factors that cause desertification include urbanization, climate change, overuse of groundwater, deforestation, natural disasters, and tillage practices in agriculture that make soils more vulnerable to wind.
Answer:
Human activities that contribute to desertification include the expansion and intensive use of agricultural lands, poor irrigation practices, deforestation, and overgrazing. These unsustainable land uses place enormous pressure on the land by altering its soil chemistry and hydrology.
Theequationoflinepisy = –8x + 9 . Line qincludesthepoint(–8, 8)andisperpendiculartoline p . What istheequationofline q ?
Question 1: Years ago in this arena gladiators battled, Christians were fed to lions, and ships fought naval battles in the flooded center. This structure can be found in Italy and is called the _______
A. Louvre
B. Eiffel Tower
C. Colosseum
D. Parthenon
Question 2: The Louvre, Eiffel Tower and Notre Dame all have something in common. They are all _________
A. monuments to European achievement
B. museums
C. found in Paris, France
D. religious structures
C and C.
Colosseum and found in Paris, France
Which religions were founded in Europe and Southwest Asia?
Check all that apply.
A. Confucianism
B. Buddhism
C. Islam
D. Christianity
Answer:
i think it would be D
Explanation:
What argument did Andrew Jackson use to persuade people that the Indian
Removal Act was a good decision?
Answer:
Removing American Indians will allow white settlers to become wealthier.
Explanation:
HELP PLEASE!
There are 5 clues what country are they describing?
Item 5
What is the stimulus shown in the photograph?
light coming from a single direction
the plant growing toward the light
the insect touching the trigger hairs
the trap closing over the insect
Two images, one showing an open Venus flytrap and the other showing Venus flytrap with an insect captured in its jaws
Answer: B
Explanation: im not really sure sorry if wrong
Answer:
d
Explanation:
Explain why we could feed more people if everyone was a vegetarian
Answer:
bc farm animals wont need to be bred, the land used for that can be used for crop growth and vegetarian stuff
Explanation:
also, a bunch of plants and nuts and stuff are fed to farm animals, and we could just eat that stuff. like in the usa, animals are fed over 95% of the oats and we could just eat that
how to prevent water shortage
Answer:
What is your top solution for the water crisis?
1. Education/Awareness.
2. New Conservation Technologies.
3. Recycle Wastewater.
4. Improve Irrigation and Agriculture Water Use.
5. Water Pricing.
6. Energy Efficient Desal Plants.
7. Rain Water Harvesting.
8. Community Governance and Partnerships.
Explanation:
what is modern industry
An industry is a group of companies that are related based on their primary business activities. In modern economies, there are dozens of industry classifications, which are typically grouped into larger categories called sectors. Individual companies are generally classified into an industry based on their largest sources of revenue. For example, while an automobile manufacturer might have a financing division that contributes 10% to the firm's overall revenues, the company would be classified in the automaker industry by most classification systems. Hope This Helps!
What are 2 NEE's in Africa
Answer:
KenyaGhanaExplanation:
There are quite a number of NEEs(Newly Emerging Economies) in Africa at the moment. Africa has a significant youth population with the potential to contribute to innovation and production that will drive the continent forward if given the chance.
African stock markets have been on the rise and there are many investment opportunities. Kenya and Ghana are two countries that have been recognized to be NEEs due to their political stability that is enabling investment opportunities to be fostered.
Answer:
vhhwhejsjncnsjskzmmqkxkkqkjjqkxjjjwjsnwowojwinwfic9jq2jjcuhajwjqjnswk
Who was Mobutu Sese Seko?
the leader of mercenary soldiers who captured Katanga
the first president of the Democratic Republic of the Congo
the corrupt dictator of Zaire for more than twenty-five years
the general who overthrew Laurent Kabila
Answer:
Mobutu Sese Seko Kuku Ngbendu Wa Za Banga[a] (/məˈbuːtuː ˈsɛseɪ ˈsɛkoʊ/; born Joseph-Désiré Mobutu; 14 October 1930 – 7 September 1997) was a Congolese politician and military officer who was the President of Zaire from 1965 to 1997.
Explanation: i hope this help
What are the tips in delivering an extemporaneous and impromptu.
Identify the type of plate boundary shown in the image below
Answer:
Divergent
Explanation:
According to Buddhism a person must give up
to reach salvation.
Answer:
Once they are enlightened
Explanation:
For Buddhists, salvation is gained through the understanding of the ways things really are according to the Buddha's Dharma.
What if One Day u became a FROG
Answer:
viihhhnbvgjn iviggvvgtasdhh
Answer:
I will never become a FROG
The San Andreas Fault separates the Pacific plate from the North American plate. The Pacific plate moves northward relative to the North-American plate at a rate of 5.5 cm/year
Los Angeles rests on the Pacific plate whereas San Francisco is on the North American plate. Currently, the distance between Los Angeles and San Francisco is about 520 km.
How long will it take Los Angeles to be next to San Francisco?
⭐hello my Friend!
For example, if a tectonic plate travels 5 kilometers a year.
the result would be 104.
just do the math:
[tex]520 \div 5 = 104[/tex]
but this is just an example ok?
⭐have good studies!
☝️follow the rules of brainly!
why does gerogia have a strong paper industry
Answer:
The state of Georgia has a strong paper industry due to the presence and work of great companies such as Rock-Tenn Co. This is a major corporation dedicated to the production of corrugated paper products. Indeed, it is considered as the second largest company that produces paper in the United States. With headquarters in Atlanta and operations in all the state of Georgia, Rock. Tenn Co. has a fierce competitor that also is a major producer of paper in the state: Georgia Pacific Corp :)
all works are equal and dignified. Justify the statement with examples
Answer:
This's your answer...!!in what way mixed farming is different from mixed cropping?
Explanation:
Mixed farming is where crops and animals are grown and kept on thesame piece of land at the same time whereas mixed cropping is where different crops grown at the same piece of land and at same time.Explain why nations trade with each other.
Answer:
Nations typically trade with each other because they do not have resources. People want and need to buy items/supplies that are available in other countries. Foreign goods are also sometimes less expensive in other countries.
Explanation:
when an oceanic crust meets a continental crust what occurs
Answer:
A process known as subduction
Explanation:
Answer:
a process called subduction.
Explanation:
the continental plate moves over the thinner oceanic plate causing the oceanic plate to be forced down into the mantle.
How does vertical zonation affect where people live?
Explanation:
Vertical zonation is the idea that different types of plants grow at different elevations because the temperature becomes colder as you gain elevation.
Answer:
Therefore Vertical zonation affects humans because temperature becomes colder as you gain elevation.
The vertical zonation affect where people live because the temperature of the colder. The factors such as wind exposure, wave action, salinity, temperature, and light intensity.
What is zonation?
Changes in community along an environmental gradient caused by factors such as altitude, latitude, tidal level, or distance from shore are referred to as zonation (coverage by water). Abiotic conditions differ between the several vertical layers.
This vertical zonation in Rocky Mountain flora is commonly attributed to climatic conditions such as temperature and moisture content. As a result of the cooler temperatures, humans are affected. Wind exposure, wave motion, salinity, temperature, and light intensity are among the different factors.
As a result, the vertical zonation are the affect live are the cold temprecher.
Learn more about on zonation, here:
https://brainly.com/question/15043274
#SPJ2
Please, Please, Please help me with this!
Match the letter with the place it represents on the map.
Martinique
Puerto Rico
Cuba
The Bahamas
***
A
B
C
D
Answer:
a is puerto rico
b is martinique
c is the bahamas
d is cuba
Explanation:
cuba is the largest
the bahamas are above cuba
puerto rico is the furthest solid island
b is martinique based off of its the last one
The above map shows some of the most important things- Option A is Puerto Rico, option B is Martinique, option C is the Bahamas, and option D is Cuba. Hence, all the above-mentioned options are appropriate.
What is the importance of Cuba, the Bahamas, Puerto Rico, and Martinique?Cuba is one of the South American countries, which is well known for its beaches and the lifestyle of the party people who wants to visit Cub for fun and enjoyment. Life in Cuba is also based on Communism. Cuba is famous for its leader Fidel Castro and also for the widely used cigars as prevalent.
The bahamas is one of the most exquisite tourist destinations in the world. the land of the Bahamas comprises about 700 islands which are home to some of the best ecologies in the world. bahamas due to this weather condition and the natural beauty is a tourist attraction.
Puerto Rico earlier in the historical times due to its advantage of the environment and strategic position was being used by Spanish ports, but the allies of France, England and Dutch attacked and failed to attack glory.
Martinique was a culture where it got mixed with the French and the Creoles. Martinique also had beautiful cuisines to savor along with the rum that was brewed in there. Above all, it had also beautiful beaches and the weather. Hence, all the above option is true.
Learn more about the Cubas, Bahamas, Puerto Rican also Martinique here:
https://brainly.com/question/10519218
#SPJ2
Which statement is true about the population of Japan?
The population did not increase after 1880.
The population was projected to decrease after
2010.
The population decreased after 1980.
The population did not increase between 1920 and
1930.
Answer:
The population was projected to decrease after 2010.
Explanation:
Japan is one of the few countries in the world in which the population does not grow, but decreases year after year. This is due to a multiplicity of factors, the most important being the low birth rate and the lack of large migratory flows to the country.
Thus, as of 2010, the Japanese population began to fall numerically: from its historical peak in that year of 128 million inhabitants, to the year 2021 its population has fallen to 126 million inhabitants.
Answer:
B The population was projected to decrease after 2010.
Explanation:
Which of these structures is MOST associated with architecture styles in Russia?
Answer:
the answer is D.
Explanation:
those building are usually associated with russian architecture.
which of the following physical features makes up most of europe?
A.plateaus
B.peninsulas
C.tundras
D.plains
A quadrilateral has vertices P(−2, 3), Q(4, 3), R(4, 1), and S(−2, 1). What is the most specific classification of this quadrilateral?
rectangle
square
rhombus
parallelogram
Answer:
Rectangle
Explanation:
where did democracy begin?
A.norway
B.greece
C.Italy
D.Spain