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 refrence line passes through both geo geographic north pole and geographic south pole
Answer:
Longitudes
Explanation:
brainliest plz
What are three factors that cause cultures to change?
A. Technological advancements
B. Geographic isolation of a group of people
C. Food and water shortages
D. A nation’s industrialization
The three main causes of cultural change are technology advancements, food and water shortages, and industrialization of a country. The correct responses are Options (A), (C), and (D).
What is meant by change in culture?Sociologists and public policymakers refer to the way society is changing as "cultural change." The outcome is the development of new social structures as well as new cultural traits, behavioral patterns, and social standards in society.
Numerous factors, such as the climate, technological developments, and contact with certain other cultures, can lead to cultural change. Contact between societies has an external impact on cultures and has the potential to cause (or not) social change and alter cultural practices.
Diffusion, independent creation, and acculturation are the three primary drivers of cultural change in addition to globalization.
Hence, Options (A), (C), and (D) are the right choices.
Learn more about cultural change, from:
brainly.com/question/10171480
#SPJ5
What percentage of the world's population live in the Northern Hemisphere?
A. 40%
B. 60%
C. 75%
D. 90%
Answer:
D.90%
Hope this helps
Answer:
D. 90%
Explanation:
about 6.57 billion people live in the northern hemisphere, which is 90% of the total population of about 7.3 billion
which region has the most earthquakes?
NO JOKING OR REPORT
Explanation:
The world's greatest earthquake belt, the circum-Pacific seismic belt, is found along the rim of the Pacific Ocean, where about 81 percent of our planet's largest earthquakes occur. It has earned the nickname "Ring of Fire".
MARK AS BRAINLIEST
Explain the difference between a choropleth map and cartogram map
Answer:
choropleth maps show us how much geographic area is affected. On some maps, this means that large regions where only a few people take up a lot of space on the screen. Population cartograms, on the other hand, drive more attention to populated areas.
Explanation:
What is the maritime effect?
Answer:
The effect of seas or oceans on nearby land. it cools the land during summer and warms up during winter
Explanation:
Maritime effect is the effect of the bodies of water to its nearby land surfaces, whereas similar to land and sea breeze.This is because of water's unique characteristic which is having high capacity→water heats and cools slowly as it could store the heat. thus, in summer it cools and winter it warms up
Do you think that Canada's point system for immigration is fair? Why or why not?
what is the population growth in europe?
Answer:
A positive migration rate I hope this helps
Explanation:
A P E X
PLEASE HELLP!!!!!
DIRECTIONS: Write the name of the capital and country of all 25 countries found in Latin America. There is a table for you to do this on the second page of this Document. EXAMPLE: London, England
Answer: All capitals and countries 25
Explanation:
Belize Its capital is Belmopan
Costa Rica it's capital is San Jose
El Salvador it's capital is San Salvador
Guatemala city it's capital is Guatemala
Honduras it's capital is Tegucigalpa
Mexico city its capital is Mexico
Nicaragua it's capital is Managua
Panama city it's capital is Panama
Argentina its capital is Buenos Aires
Bolivia has two capitals one is called La Paz and the other one is called Sucre
Brazil it's capital is Brasilia
Chile it's capital is Santiago
Colombia it's capital is Bogota
Ecuador it's capital is Quito
Guyana it's capital is Georgetown
Paraguay it's capital is Asunción
Peru it's capital is Lima
Suriname it's capital is Paramaribo
Uruguay it's capital is Montevideo
Venezuela it's capital is Caracas
Cuba its capital is Havana
Dominican Republic Santo Domingo
Haiti its capital is Port-au-Prince
I hope this helps you took very long to write down.
The navigable rivers in Western Europe have historically impacted
economic development in the region by —
A. providing for the irrigation of arid land
B. blocking the spread of epidemic diseases
C. preventing the advancement of land armies
D. facilitating the movement of goods and people
Answer:
A
Explanation:
If a population is growing quickly in a small area, then the
increasing as well.
must be
о
A. death rate
B. agricultural output
C. economic output
D. population density
Answer:
Population density
Explanation:
Population density is the total number of individual organism per unit area or volume of habitat
name the region in India that receives maximum rainfall from the Retreating Monsoons
The hill station in Meghalaya and Maharashtra or Indian region recieves maximum rainfall from Retreating Monsoons.
please help, thank you so much!
Answer:
20m
Explanation:
800-700= 100
100/5
20
What landmass is located just west of the Coastal Plain, extending from eastern Canada to western Alabama?
A) Rocky Mountains
B) Great Plains
C) Interior Lowlands
D) Appalachian Mountains
Answer:
Appalachian mountains
Explanation:
K12
What is the similarity between totalitarianism and authoritarianism?
Answer:
The authoritarian ruler is more focused on individual power, while the totalitarian ruler is more of a charming ideologist who claims to have the best interest of the people or the state in mind.
what is the difference between Theravada buddhism and Mahayana buddhism?
Explanation:
Theravāda is the most commonly accepted name of Buddhism's oldest existing school. The school's adherents, termed Theravādins, have preserved their version of Gautama Buddha's teaching in the Pāli Canon.
Mahāyāna is a term for a broad group of Buddhist traditions, texts, philosophies, and practices. Mahāyāna is considered one of the two main existing branches of Buddhism. Mahāyāna Buddhism developed in India.
You can just look up their cultures and stuff on the internet to try and help explain the difference! But here is there differences from the internet.
How are natural habitats and extinction rates affected by climate change?
Answer:
lol i meant to put this as an answer
Explanation:
natural habitats become inhospitable for certain animals or plants, which makes the natural balance of the ecosystem shift, which contributes to less plant life and higher extinction rates.
Did you know when the world ends there will be a new one
Answer:
how
Explanation:
i am genuinely interested by this theory
Write 3 measures that can be taken to provide clean water.
PLEASE HELP!
There are 5 clues, which country are they describing?
I need help pleaseeeeeee
Answer:
choice A
Explanation:
Right away, b and c can be crossed out. and then d is a distractor so therefore the answer is A.
what part of Europe is less developed?
A. northern Europe
B.western europe
C.southern europe
D.eastern europe
Answer:
I think the least developed part of Europe is eastern Europe.
Crust is destroyed:
Answer:
B. Near ocean trenches.
Explanation:
Because it coudn't be at the lithosphere, near a divergent boundary or at ocean ridges.
Identify and analyze two major contributions of the northern european renaissance that help spread information and ideas to larger segments
Answer: The Renaissance was an era of development of trade, architecture, science, and literature.
Explanation:
In Northern Europe during Renaissance people focused on the details of the visual reality and observation to add it to the literature. They also painted the domestic interiors and portraits.
1. Establishment of trade in the northern Europe.
2. Establishment of the printing press: The Italian artist and scholars arrived at the Northern European region and they established the printing press to spread information to the larger segments of the society.
The two major contributions that were there during the north European renaissance were that the artists retained Gothic sensibility in themselves. The second major contribution being that it had not drawn itself to the Italian counterparts.
Traditional Greek aesthetics and other architects were not retained by the Renaissance in the northern European region. Undertones were psychologically darker.
The inventions of printing press enabled the printing of pictures in large numbers and they became widely available to the general public. The theories of priests were also able to the public and were possibly giving out their theologies in various printed forms.The narratives of Bible were widespread during this period due to mass production of printed media. Everyday life paintings also known as still life picture graphic was also spread.All the forms of idolization were realistic along with religious public figures and ideal figures of the society.Hence, the major contributions were made by the artists during the North European renaissances with the points mentioned above.
To know more about north European renaissance, click the below links
https://brainly.com/question/7097920
6) As the moon moves
away from the Earth, the
gravitational pull gets
stronger.
T-F
Answer:
The reason for the increase is that the Moon raises tides on the Earth. Because the side of the Earth that faces the Moon is closer, it feels a stronger pull of gravity than the center of the Earth. Similarly, the part of the Earth facing away from the Moon feels less gravity than the center of the Earth.
Explanation:
What is the creation of new crust at divergent boundaries called
The hydrosphere refers to the total amount of water on Earth, including liquid, gas, and solid forms. Which is one way the hydrosphere has been impacted by the movement of the continents over time?
Answer:
A
Explanation:
Answer: a. Glaciers that once covered South Africa have melted and can no longer form.
Explanation:
Find the area of the shaded figure
Question 1 of 10
What is the measure of JK?
A. 1250
B. 35°
C. 145
D. 550
Answer:
A. 125°
Explanation:
Based on the angles of intersecting chord theorem, we have:
90° = ½(measure of arc NM + measure of arc JK)
Arc NM = 55°
Arc JK = ??
Plug in the value into the equation.
90° = ½(55 + JK)
Multiply both sides by 2
2*90 = 55 + JK
180 = 55 + JK
Subtract 55 from each side
180 - 55 = JK
125° = JK
JK = 125°
Along the what of europe , the weather is wet and mild most of the year?
Answer:
Most of Europe has a temperate climate, with polar climate conditions along much of its northern coast and subtropical conditions along its southern coast.
Europe is generally characterized by a temperate climate. Most of Western Europe has an Oceanic climate, in the Köppen climate .The coastal lowlands of the Mediterranean Basin have more of a wet and dry season pattern, the ... The climate of Western Europe is milder in comparison to other areas of the same latitude
Explanation:
Hoped I helped your question