(5372 + 100y^2) + 5(10y^2 – 110) Add the two polynomials and write in the form ay^2 + b, where a and b are constants, What is the value of a + b?

Answers

Answer 1

Answer:

The value of a is 150 and b is 4822.

Explanation:

First, you have to expand to remove brackets :

\((5372 + 100 {y}^{2} ) + 5(10 {y}^{2} - 110)\)

\( = 5372 + 100 {y}^{2} + 50 {y}^{2} - 550\)

Next, you have to simplify :

\(100 {y}^{2} + 50 {y}^{2} + 5372 - 550\)

\( = 150 {y}^{2} + 4822\)

Next, you have to compare it :

\(a {y}^{2} + b = 150 {y}^{2} + 4822\)

\(a = 150\)

\(b = 4822\)


Related Questions

Alcohol slows thinking and impairs physical activity. For these reasons it is classified as a:

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Answer:

it is classified as a drug for these reasons

Explanation:

i just need to know how to graph it

i just need to know how to graph it

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Basically just move 1 line to the right and the 4 lines up and that’s how you graph 1,4

what are the characteristics of planet earth that makes it habitable brainly

Answers

Answer:

it has the oxygen needed for us to be able to breathe the gravity food sources

Explanation:

Answer:

What makes the Earth habitable? It is the right distance from the Sun, it is protected from harmful solar radiation by its magnetic field, it is kept warm by an insulating atmosphere, and it has the right chemical ingredients for life, including water and carbon.

Explanation:

What is the difference between an abyssal plain of the ocean and the plains of the continents? I need this ASAP

Answers

Abyssal plains are flat areas of the ocean floor in a water depth between 3,500 and 5,000 with a gradient well below 0.1°
while a plain of the continents is a flat expanse of land that generally does not change much in elevation.Plains are one of the major landforms on earth, where they are present on all continents, and would cover more than one-third of the world's land area.

I need help with this. I don't understand it!

I need help with this. I don't understand it!

Answers

Answer: D

Explanation:

sorry if it's wrong

How does mass affect rolling resistance?how mass affects rolling friction when different riders of different masses ride the bike. Does this change the weight that you measured

Answers

Answer:

Mass – more mass means more downwards force due to gravity onto the road. This results in more tyre compression so rolling resistance increases.

Explanation:

Answer:

Mass – more mass means more downwards force due to gravity onto the road. This results in more tyre compression so rolling resistance increases.n:

Which value for y in the table would be least likely to indicate an association between the variables? 0. 06 0. 24 0. 69 1. 0

Answers

i think 0.06 do i pick one of those?

what is the opportunity cost of earning an advanced college degree

Answers

Answer:

The opportunity cost would be $240k

Explanation:

The college fee per year is $30k plus expenses. After 4 years, you will be out $120k. The opportunity cost in this case will be $240k since you chose to go to college instead of working. Thus, you will earn less or no money during the years that you are in college.

Hope this helps!!

for g(x)= x^2 -5x+8 find the average rate of change on interval [1,6]

Answers

The average rate of change on interval [1, 6] is equal to 2.

What is an average rate of change?

An average rate of change is also referred to as slope and it can be defined as a type of function that describes the average rate at which a quantity changes (decreases or increases) with respect to another quantity, over a period of time (interval).

In Mathematics, the average rate of change of f(x) on a closed interval [a, b] is given by:

Average rate of change = [f(b) - f(a)]/(b - a)

For f(a), we have:

f(a) = f(1) = 1² - 5(1) + 8

f(1) = 1 - 5 + 8

f(1) = 4

For f(b), we have:

f(b) = f(6) = 6² - 5(6) + 8

f(6) = 36 - 30 + 8

f(6) = 14

Substituting the parameters into the formula, we have;

Average rate of change = [f(b) - f(a)]/(b - a)

Average rate of change = [14 - 4]/(6 - 1)

Average rate of change = 10/5

Average rate of change = 2

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PSAT's MyRoad is a(n):
A. online college and career planning resource
B. preparatory course for the SAT.
O C. personality profile.
OD. scholarship opportunity.

Answers

Answer:

A

Explanation:

College and career planning

Online college and career planning resource is PSAT.

What is PSAT?

The PSAT is primarily a preparation test for the SAT®, but it also has the potential to increase financial aid for college. The top test takers have the opportunity to get scholarships, and even being named a Commended Scholar can aid your application.

The PSAT/NMSQT commonly known as the Preliminary SAT, is a practice test for the SAT. The PSAT is only offered once a year, and many students take it in both their 10th and 11th grades.

An opportunity to acquire a National Merit Scholarship worth $180 million is available to students who perform well on the PSAT during their junior year.

Therefore, Online college and career planning resource is PSAT.

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The authors use the phrase "ground "Truth" with a capital "T"" (lines
51-52) in order to
A
argue that field measurements should be given up
in order to focus exclusively on LIDAR
measurements.
illustrate the impossibility of ever gaining accurate
and usable measurements from either fieldwork or
LIDAR.
defdied the idea that LIDAR measurements are
inherently more accurate than measurements
obtained via fieldwork.
note the excessive faith scientists have put in the
accuracy of field-survey estimates.

Answers

Answer:

The answer, is: A specific type of measurement.

Explanation:

Because... ground Truth, means... to always be in the moment and use the technique grounding and to be truthful.

The authors use the phrase "ground "Truth" with a capital "T"  in order to argue that field measurements should be given up in order to focus exclusively on LIDAR measurements.

The correct answer is A

What is truth?

The truth is the fact which is true to all the specific type of measurement.

"ground Truth", means one has to always be in the moment and use the technique grounding to be truthful.

So, argue that field measurements should be given up in order to focus exclusively on LIDAR measurements.

Thus, the correct answer is A

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In humans, unattached earlobes are dominant over attached earlobes.


Which could be the genotype for someone with attached earlobes?


Ee
e
ee
E

Answers

The answer is the first one

Answer:

ee (C)

Explanation:

I got it right on my test (Edge 2021) :D

Have a good day!

Which example is one of a negative social change brought on by technology?

A.
the development of modern factories increased the rates of unemployment
B.
the development of modern factories decreased the rates of migration to cities
C.
the development of communication devices created a new platform for communication
D.
the development of communication devices made it easier for humans to communicate

Answers

Answer: A

Explanation:

Is anlyzing and interpreting information a record?​

Answers

yes,

Explanation:

You are interpreting the said record whether no or yes,it is correct .You are analyzing the already written information ,not to get wrong

The double number line shows that 42 4242 people watched Deon's new video today. A double number line with 2 tick marks. The line labeled People, reads from left to right: 0, 42. The line labeled Percentage, reads from left to right: 0 percent, 100 percent. A double number line with 2 tick marks. The line labeled People, reads from left to right: 0, 42. The line labeled Percentage, reads from left to right: 0 percent, 100 percent. Complete the table to show different percentages of the number of people who watched the video.

Answers

At 10% know that 10% of the total number of people watched the video so it would be 10% of 42,424 is 4,242.

To complete the table showing different percentages of the number of people who watched the video can use the provided double number line.

Here's an example of how the table could be completed:

Percentage People

0% 0

25% 10,606

50% 21,212

75% 31,818

100% 42,424

The corresponding number of people for a given percentage can use the scale of the double number line.

To determine the number of people for 25%:

Locate 25% on the "Percentage" line.

Draw a vertical line from 25% until it intersects with the "People" line.

The corresponding value on the "People" line is approximately 10,606.

The other percentages can be determined by following the same process.

The values provided in the table are approximate and may vary slightly depending on the accuracy of the double number line and the scale used.

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Once business strategy is defined for an artificial intelligence.

Answers

Business strategy Creating an AI strategy for the sake of it won’t produce great results. To get the most out of AI, it must be tied to your business strategy and your big-picture strategic goals. That’s why the first step in any AI strategy is to review your business strategy.

A light source is shining on a vertical surface or a slanted surface as shown 3 points
below. Which statement is correct?
Surface is vertical
Surface is tilted
The light energy that hits the vertical surface is stronger because it is concentrated on
a smaller area.
The light energy that hits the vertical surface is weaker because it is concentrated on
a smaller area.
The light energy that hits the slanted surface is stronger because it is concentrated on
a larger area.
The light energy that hits the slanted surface is stronger because it is concentrated on
a smaller area

Answers

Answer:

The light energy that hits the vertical surface is stronger because it is concentrated on a smaller area.

Explanation:

classify each item as either part of the m2 measure of the money supply or as not part of the money supply.

Answers

The classification of each item as either part of the M2 measure of the money supply or as not part of the money supply is; detailed below

What is the classification of each item?

M2

- $900 billion in checkable deposits

- $2 trillion in savings accounts

- $1.25 trillion in small time deposits

- $900 billion in cash held by the public

- $650 billion in money market accounts

Not in the money supply

- $3trillion in government securities belonging to the Federal Reserve

- $4.5 trillion in credit card debt

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how can you apply matthew 5:13-16 in your life

Answers

He is saying “There is no way to fix spoiled salt.” You (His followers) are it. If You (His followers) lose your saltiness you become useless to serve as salt. You (His followers) are no longer good for anything except for one thing, to be thrown out and trampled under foot by men.

1. X⁵-4x⁴-2x³-2x³+4x²+x=0
2. X³-6x²+11x-6=0
3. X⁴+4x³-3x²-14x=8
4. X⁴-2x³-2x²=0
Find the roots for these problem show your work​

Answers

So the roots of the original equation are:

x = 0, x = 1 + √3, x = 1 - √3

Let's solve each of these equations and find their roots.

x⁵ - 4x⁴ - 2x³ - 2x³ + 4x² + x = 0:

To factorize this equation, we can factor out an "x" term:

x(x⁴ - 4x³ - 4x² + 4x + 1) = 0

Now, we have two factors:

x = 0

To find the roots of the second factor, x⁴ - 4x³ - 4x² + 4x + 1 = 0, we can use numerical methods or approximation techniques.

Unfortunately, this equation does not have any simple or rational roots. The approximate solutions for this equation are:

x ≈ -1.2385

x ≈ -0.4516

x ≈ 0.2188

x ≈ 3.4714

x³ - 6x² + 11x - 6 = 0:

This equation can be factored using synthetic division or by guessing and checking.

One possible root of this equation is x = 1.

By performing synthetic division, we can obtain the following factorization:

(x - 1)(x² - 5x + 6) = 0

Now, we have two factors:

x - 1 = 0

x = 1

x² - 5x + 6 = 0

To find the roots of the quadratic equation x² - 5x + 6 = 0, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

In this case, a = 1, b = -5, and c = 6.

Substituting these values into the quadratic formula, we get:

x = (5 ± √(25 - 24)) / 2

x = (5 ± √1) / 2

x = (5 ± 1) / 2

So the roots of the quadratic equation are:

x ≈ 2

x ≈ 3

Therefore, the roots of the original equation are:

x = 1, x ≈ 2, x ≈ 3

x⁴ + 4x³ - 3x² - 14x = 8:

To solve this equation, we need to move all the terms to one side to obtain a polynomial equation equal to zero:

x⁴ + 4x³ - 3x² - 14x - 8 = 0

Unfortunately, this equation does not have any simple or rational roots. We can use numerical methods or approximation techniques to find the roots.

Approximate solutions for this equation are:

x ≈ -2.5223

x ≈ -0.4328

x ≈ 1.6789

x ≈ 3.2760

x⁴ - 2x³ - 2x² = 0:

To solve this equation, we can factor out an "x²" term:

x²(x² - 2x - 2) = 0

Now, we have two factors:

x² = 0

x = 0

x² - 2x - 2 = 0

To find the roots of the quadratic equation x² - 2x - 2 = 0, we can again use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

In this case, a = 1, b = -2, and c = -2. Substituting these values into the quadratic formula, we get:

x = (2 ± √(4 - 4(1)(-2))) / (2(1))

x = (2 ± √(4 + 8)) / 2

x = (2 ± √12) / 2

x = (2 ± 2√3) / 2

x = 1 ± √3

So the roots of the original equation are:

x = 0, x = 1 + √3, x = 1 - √3

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(2q 5 +7q)+(5q 5 +3q 3 )left parenthesis, 2, q, start superscript, 5, end superscript, plus, 7, q, right parenthesis, plus, left parenthesis, 5, q, start superscript, 5, end superscript, plus, 3, q, cubed, right parenthesis Which of the following expressions is equivalent to the given expression?

Answers

Answer:

Expanding the given expression, we have:

(2q^5 + 7q) + (5q^5 + 3q^3)

= 2q^5 + 7q + 5q^5 + 3q^3 (rearranging terms)

= 7q + 3q^3 + 2q^5 + 5q^5 (rearranging terms)

So the equivalent expression is:

7q + 3q^3 + 7q^5


Since 60° is of 360° then the length of is the circumference of the circle.

Answers

Since 60° is one-sixth (1/6) of 360°, then the length of the arc subtended by a central angle of 60° is one-sixth (1/6) of the circumference of the circle.

The event in which a heavy metal ball is is thrown from the neck as far as possible

Answers

Answer:

shot put

Explanation:

it is a sport in track

Shot put
noun
An athletic contest, in which a very heavy and dense globular ball gets spun and thrown as far as the contestants ability.

Water is transported to the leaves where it combines with

Answers

Answer: nutrition the plant made

with the energy from the sun and produce?

Explanation:

Answer:

In plants, the transpiration stream is the uninterrupted stream of water and solutes which is taken up by the roots and transported via the xylem to the leaves where it evaporates into the air/apoplast-interface of the substomatal cavity. It is driven by capillary action and in some plants by root pressure.

Yw hope this helps \_(OwO)_/

An online store sold a gift basket at five different prices and recorded the number of gift baskets that were sold at each price. The results are shown in the scatterplot. A graph titled Price versus Gift Baskets Sold has Price (dollars) on the x-axis, and Gift Baskets Sold on the y-axis. Points are at (40, 89), (45, 80), (52, 80), (65, 60), and (83, 50). Which statement is correct based on the scatterplot? There is no relationship between price and gift baskets sold because the points do not form a straight line. There is no relationship between price and gift baskets sold because there are multiple prices at which 80 gift baskets were sold. There is a relationship between price and gift baskets sold, and the relationship is that as the price increases, the gift baskets sold increases. There is a relationship between price and gift baskets sold, and the relationship is that as the price increases, the gift baskets sold decreases.

Answers

Answer:

D

Explanation:

I believe that the answer would be D, there is a relationship between price and gift baskets sold, and the relationship is that as the price increases, the gift baskets sold decreases.  

Despite the fact that there is an outlier, the point representing the 80 gift baskets sold at $52, there is still a pattern which shows that as the price of the baskets increases, the number of sales decreases based on the other points.

Answer:

Answer is d

Explanation:

:)

How does atomic size change down the group and across the period.

Answers

Answer:

Atomic size decreases along a period because of the nuclear charge increasing, this means that the electrons are more attracted to the nucleus, which decreases the size.

Atomic size increases down a group because the number of electron shells is greater each time, meaning that the electrons are less attracted to the nucleus.

Explanation:

Hope this helps :D

Review the forth stanza of the poem, at the bottom of page 3. How does the allusion to Eden impact the poem

Answers

Answer:

I’m not completely sure abt this one but I’m guessing that it’s “it conveys the sense of security and peace the speaker experiences in nature

Explanation:

I’m not rlly sure about this answer but I’m taking the quiz rn

What factors, other than rate, should you consider before choosing a personal loan?

Answers

Answer:
One should remember that personal loans are collateral-free, so lending institutions thoroughly check borrowers' profiles on criteria such as income, credit score, age, and employment history

All of the following are components of the Aspire test except:

Answers

Answer:

A tool that provides info on how to apply for college.

Explanation:

Answer:

jExplanation:

What punctuation mark is missing from this use of a direct quote?
According to Dr. Leon “tree rings are a tree’s timepiece.”
a dash after to
a period after Dr. Leon
a comma after according
a comma after Dr. Leon

Answers

Answer:

D is your answer

Explanation:

You always put a punctuation after a name.

The punctuation marks are missing from the direct quote as there should be a comma after the name of  Dr. Leon Hnece the option D is correct.

What is a  punctuation mark?

A  punctuation mark is a mark or a character that separates the elements of writing such as a para or a passage. The marks like the commas at the end of the sentence are done to make things easier. This allows threaders to understand.

Find out more information about the punctuation mark.

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