Prove the polynomial identity. (2x−1)2+2(2x−1)=(2x+1)(2x−1) Drag and drop the expressions to correctly complete the proof of the polynomial identity. (2x−1)2+2(2x−1)=(2x+1)(2x−1) Response area+4x−2=(2x+1)(2x−1) Response area=(2x+1)(2x−1) Response area=(2x+1)(2x−1)

Prove The Polynomial Identity. (2x1)2+2(2x1)=(2x+1)(2x1) Drag And Drop The Expressions To Correctly Complete
Prove The Polynomial Identity. (2x1)2+2(2x1)=(2x+1)(2x1) Drag And Drop The Expressions To Correctly Complete

Answers

Answer 1

Answer:

Step-by-step explanation:

Given expression is,

(2x - 1)² + 2(2x - 1) = (2x - 1)(2x + 1)

To prove this identity we will take the left hand side of the equation and will prove equal to the right side.

(2x - 1)² + 2(2x - 1) = (2x - 1)(2x + 1)

4x² - 4x + 1 + 4x - 2 = (2x - 1)(2x + 1)

4x² - 1 = (2x - 1)(2x + 1)

(2x - 1)(2x + 1) = (2x - 1)(2x + 1) [Since a² - b² = (a - b)(a + b)]


Related Questions

¿Cuánto es $ 3.57 redondeado al dólar más cercano?

Answers

What does this say translate this plz

The graph of F(x) shown below resembles the graph of G(x)=x^3, but it has been changed somewhat. Which of the following could be the equation of F(x)?

Answers

Answer && Step-by-step explanation:

We know f(x) transcribes towards -x axis. thus ruling out b and d (remember signs opposite of what they mean on the board, you would think +# =towards x axis and vice versa also note if multiplied by a negative on the outside, flips signs inside)

choosing A.

plug in values of -x to see if you can get ~= to graph so -5 to -1

x: -5, -4, -3, -2, -1

y: -2, -.25, 0, .25, 2

checks out., A is your answer

The equation for f(x) is F(x) = 1/4(x+3)²

Given is a graph, showing the function g(x) = x³, we need to find the equation for the function f(x) in the graph,

We know f(x) transformed towards x-axis.

We see that, there is a left shift of 3 units, so the function will be (x+3)³

Also, the graph is spread out 4 units, so the function can be 1/4(x+3)³

Hence, the equation for f(x) is F(x) = 1/4(x+3)²

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What is the solution to 2x -8 > 12?

Answers

Answer:

x>10

Step-by-step explanation:

2x - 8 >12

2x>12 +8

2x >20

x >20 :2

x>10

1. A CD in the financial sense is
(1 point)
O a certificate of deposit
O a checking account
a record of your transactions
O a small sarings account
2. When calculating interest earned on a CD, you (1 point)
O multiply the principal by the interest rate
Omultiply the principal by the interest rate and time
O use an online calculator
O multiply the principal by time

Answers

Answer:

  1.  a certificate of deposit

  2.  multiply the principal by the interest rate and time

Step-by-step explanation:

1. A CD is a savings vehicle called a "Certificate of Deposit." It generally specifies a certain rate of interest for a given period of time. It usually carries an interest penalty for early withdrawal.

__

2. The interest on a CD is calculated the way it is calculated for any other investment. The amount of interest in a given time is the product of the principal, the interest rate, and the time period. Interest on a CD with a period of more than 1 year is generally compounded. (The compounding interval will be part of the terms of the CD agreement.)

A certificate of deposit, When calculating interest earned on a CD and multiply the principal by the interest rate and time

What is Finance?

Finance is defined as the management of money and includes activities such as investing, borrowing, lending, budgeting, saving, and forecasting.

A CD in the financial sense is a certificate of deposit.

When calculating interest earned on a CD, you multiply the principal by the interest rate and time.

This is because interest on a CD is usually compounded, meaning it is added to the principal balance over time and earns interest itself.

The formula for calculating the total amount earned on a CD is:

[tex]Total amount = Principal \times (1 + Interestrate)^T^i^m^e[/tex]

Where the interest rate is expressed as a decimal and Time is the number of years the CD is held.

Hence, a certificate of deposit, When calculating interest earned on a CD and multiply the principal by the interest rate and time

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Write the following statement as a mathematical expression.
Let x be a number.
A number decreased by three squared
Use the ^symbol to represent an exponent.
For example: 52 should be typed as 5^2

Answers

Answer:

x - 3^2

Step-by-step explanation:

reaching 20 character limit

Tell whether -2 is a solution of the inequality n-5<8

Answers

Answer:

-2 is a solution

Step-by-step explanation:

-2-5<8

-7<8

Answer:

-2 is a solution.

Step-by-step explanation:

negative 2 minus 5 is less than 8

negative 7 is less than 8

The ratio black to blue bags is 5 to3 if there is 10 black bags how many blue bags?

Answers

Answer: 6

Step-by-step explanation:

what is 49400000000000 written in scientific notation

Answers

Answer:

4.94x10^13

Step-by-step explanation:

You have to move the decimal 13 times to the right and the number you get or it to be in scientific notation has to be in between 1 and something less than 10.

You probably don't need this answer anymore, sorry!

What is the slope of a line passing through the points (2, 5) and (0, −4)?

Answers

the slope of the line is 9/2
9/2 is the slope of the line

Please help me with this

Answers

Answer:

300

Step-by-step explanation:

If a family uses 3 gallons of milk every week, how much milk will this family use in four days?

Answers

Answer:

Step-by-step explanation:

3 gallons of milk in 1 week means they use 3 gallons of milk in 7 days.

To find out how much milk they use in 1 day, simply divide 3 gallons by 7.

1 day = 3/7 gallons

Then to find how much they use in 4 days, multiply the amount in 1 day by 4.

4 days = 3/7 x 4 = ? Gallons

Answer:

1. 71428571429

Step-by-step explanation:

You divide 3 by 7 then multiply the answer by 4 is what I did not saying it’s completely 100% right though

Determine the area of e
1.
4inch

Answers

16inches i’m pretty sure

if your techer tells you to do questions 38 through 51 in your math book for homework how many questions is that​

Answers

Answer:

thats 13 questions

Step-by-step explanation:

Answer: 13 questions

Step-by-step explanation: 51-38 equals 13

The measure of an angle is 53.8°. What is the measure of its complementary angle?

Answers

Step-by-step explanation:

Complementary angles means that the angles should add up to 90°.

let the complementary angle of 53.8° is x°.

So,

53.8° + x° = 90°.

x° = 90°-53.8°

x = 36.2°

1.why.do.we.need.election

Answers

To vote for a well suited president to help run for the United States
So we have a president

Anyone go to k12 NCVA?

Answers

Answer:

Nope

Step-by-step explanation:

Answer:

yep

Step-by-step explanation:

What is (21/6) * (-3 3/4)? :

Answers

Answer:

...

Step-by-step explanation:

...

A train goes from Springfield, MA to Boston at a speed of 40 mph. On the return journey it moves at a speed of 80 mph. If the return journey takes an hour less than the outward journey, what is the average speed overall of the train?

Answers

Answer:

The answer is 53.3333333

Step-by-step explanation:

first you know that the speed on the way there is 40 mph and the back is 80

lets call the time x On the way there the time would just be X on the way back it would be x-1 because it took one less our

to calculate the distance you need to do speed times time therefor the distance on the way there would be 40x and the way back would be 80x-80

Then I made an equation 40x=80x-80 X=2

so the distance would be 80 miles but to find average speed you need to do total distance over total time so it would be 160 over 3 because the time is 2x-2 x=2 so thats 3

Hope this helps

 

Hospital administrator Jake Rosen was recently convicted for fraud he committed against his employer, Cedar Hospital Systems. Over a period of six years, Jake allegedly made payments to a dummy company for maintenance charges while simultaneously running a scheme with maintenance contractors where he either paid them for work never performed or overpaid them for work. The skyscraper where Jake worked was only 10 years old. Maintenance charges rose from $5.2 million in 1994 to $16.4 million in 2000. It was worth noting that the judge on the case questioned whether Cedar Hospital Systems deserved less than full restitution for failing to notice the problem. However, it was determined that federal law on restitution does not allow such charges, so Jake Rosen will be making monthly payments toward the alleged $8 million he stole until he makes full restitution after leaving prison. He was able to quickly repay $3.2 million of the theft with assets recovered by the government, including two homes and a nice yacht. Not bad for a man who was supposed to be making $90,000 per year.
1. In what specific types of fraud was Jake Rosen engaged?
2. The judge questioned whether the hospital should be held partially responsible for not having de- tected the fraud. What could the hospital have done to prevent or detect the fraud earlier?

Answers

Step-by-step explanation:

Employee frauds are one of most common form of frauds which can be detected in a company. There can be many types or forms of employee frauds.  

the major types are:

• Asset Misappropriation

• Bribery and Corruption

• Data theft

• Vendor Fraud

• Payroll Fraud

• Accounting Fraud

2. The hospital could have detected the fraud going on earlier if they had consulted the help of an audit firm this could have helped exposed the fraud earlier.

If 5x + 6 = 10, what is the value of 10x + 3 ?

Answers

Answer:

11

Step-by-step explanation:

Bill lent some money to his two brothers. He wrote down the amounts so he would not forget. The list shows the younger brother with −$17.25 and the older brother with $0. Which of the following statements best describes the amounts?
The older brother paid Bill $17.25, and the younger brother does not owe him any money.

The older brother owes Bill $17.25, and the younger brother does not owe him any money.

The younger brother owes Bill $17.25, and the older brother does not owe him any money.

The younger brother paid Bill $17.25, and the older brother does not owe him any money.

Answers

Answer:

the younger brother owes bill $17.25, and the older brother dose not owe him anything

Answer:

i got it right on the trst

Step-by-step explanation:

Find the product of 4 7/12 - 5

Answers

Answer:

the answer is

Step-by-step explanation:

the answer

Find the slope of the line

(Please don't answer if you don't know it. It doesn't help at all.)

Answers

The slope is -3. Pick any point on the line. For every 1 unit you move to the right, the "next" point on the line is 3 units down.

You can also use the formula for the slope. According to the graph, the line goes through the points, say, (1, -3) and (3, -9). Then the slope is

slope = (-9 - (-3)) / (3 - 1) = (-9 + 3) / (3 - 1) = -6/2 = -3

When does the value of f(x) = (1/2)x equal the value of g(x) =2x+8 ?

Answers

Answer:

[tex]\huge\boxed{f=g(x)\ \text{for}\ x=-\dfrac{16}{3}=-5\dfrac{1}{3}}[/tex]

Step-by-step explanation:

When does the value of f(x) = (1/2)x equal the value of g(x) =2x+8?

[tex]f(x)=g(x)\iff\dfrac{1}{2}x=2x+8\qquad|\text{subtract}\ 2x\ \text{from bpoth sides}\\\\\dfrac{1}{2}x-2x=2x-2x+8\\\\-1\dfrac{1}{2}x=8\qquad|\text{convert the mixed number to the improper fraction}\\\\-\dfrac{2\cdot1+1}{2}x=8\\\\-\dfrac{3}{2}x=8\qquad\text{multiply both sides by}\ -\dfrac{2}{3}\\\\\left(-\dfrac{2\!\!\!\!\diagup}{3\!\!\!\!\diagup}\right)\left(-\dfrac{3\!\!\!\!\diagup}{2\!\!\!\!\diagup}x\right)=\left(-\dfrac{2}{3}\right)\cdot8\\\\x=-\dfrac{2\cdot8}{3}\\\\x=-\dfrac{16}{3}[/tex]

To determine the percentage of alcohol in a liquid contains?

Answers

Answer:

Formula for Calculating Alcohol in Beer

Step-by-step explanation:

Subtract the Original Gravity from the Final Gravity.

Multiply this number by 131.25.

The resulting number is your alcohol percent, or ABV%

Eddie's recipe for bagels makes 18 bagels per batch. Eddie makes 2/3 batch of bagels. How many bagels does Eddie make

Answers

Answer:

He makes 12 bagels

Step-by-step explanation:

12 bagels = 2/3 batch

12 bagels
Eddie makes 12 bagels

match the monomer to the correct macromolecule

Answers

fatty is cybrhydrtae macromolecules

2% of what number is 5?
A. 0.1
B. 1
C. 250

Answers

Answer:

a

Step-by-step explanation:

5(.02)

A I’m pretty sure but not 100%

A rectangular swimming pool has a width of 45 feet and an area of 2250 square feet. What is the​ pool's length?

Answers

Answer:

the pools length is 50ft^2

Step-by-step explanation:

A=l*w

2250=l*45 (u do the opposite operation)

2250/45=50

l=50

Answer:

we know that,

area of the rectangle = L×B

length =area /breadth

length = 2250/45

length= 50 feet

hope it helps u and pls mark it as brainliest

-5(k + 4) > 2 - (3k + 6)

Answers

k is gt -8/24 I think
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