What is the complete factorization of x2 + 2x + 1 - y2?

A)
(x + 1 + y)(x + 1 - y)
B)
(x + 1 + y)(x - 1 - y)
0
(x - 1 - y) (x - 1 + y)
D)
(x + 1 + y) (x + y + 1)

Answers

Answer 1

Answer: A

Step-by-step explanation:

[tex]x^2+2x+1-y^2\\\\=(x+1)^2-y^2\\\\=((x+1)-y)((x+1)+y)\\\\=(x+1-y)(x+1+y)\\\\Answer\ A\\[/tex]


Related Questions

In Ellens Math class, there are 2 boys for every 3 girls. if there are 21 girls in the class, how many boys are in the classroom.

Answers

Answer:

14 boys

Step-by-step explanation:

Given,

There are 3 girls for every 2 boys

So,

For every 1 girl

[tex] = \frac{2}{3} \: boys [/tex]

Therefore,

For every 21 girls,

[tex] = \frac{2}{3} \times 21 \: boys[/tex]

= 14 boys (Ans)

The cost of a jacket increased from $50.00 to $59.00. What is the percentage increase of the cost of the jacket?

Answers

Answer- it increased 18%

Answer:

18%

Step-by-step explanation:

I know this because i am a smoot person  l o l. Hope this helps!

Write a variable expression to represent the phrase. The difference of a number and 1

Answers

Answer:

[tex]x-1[/tex]

Step-by-step explanation:

Hi there!

Let [tex]x[/tex] represent "the number".

The difference of a number and 1

⇒ [tex]x-1[/tex]

I hope this helps!

2. Shelby and her two friends have 2 pies left after the bake sale after
school. They divide the pies evenly among themselves. How much pie did each
student receive?

Answers

Answer:

.67

Step-by-step explanation:

There are three friends and two pies. You are splitting the pies not the people so you divide 2 by 3 to get 0.66666667. Meaning each girl got .67 or around 6/10 of a pie.

PLEASE HELP
Seven more than the quotient of a number and 5 is equal to 4.
Use the variable b for the unknown number.

Answers

Answer:

7 + b/5 = 4

OR

b/5 + 7 = 4

Step-by-step explanation:

also, b = -15


Evaluate 9ab, for a = 5 and b =
- 7

Answers

Answer:

-315

Step-by-step explanation:

Plug in 5 as a and -7 as b into the term:

9ab

9(5)(-7)

Multiply:

= -315

So, the answer is -315.

[tex]\huge\boxed{\textsf{Hey there!}}\\\\\\\huge\boxed{\mathsf{9ab}}\\\huge\boxed{\mathsf{= 9(5)(-7)}}\\\huge\boxed{\mathsf{= 45(-7)}}\\\huge\boxed{\mathsf{= -315}}\\\huge\boxed{\frak{Answer: -315}}\huge\checkmark\\\\\huge\boxed{\textsf{Good luck on your assignment \& enjoy your day!}}\\\\\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

pq + 4; use p=4, and q = 4

Answers

Answer:

20

Step-by-step explanation:

pq + 4

Given:

p = 4

q = 4

We plug the numbers in:

pq + 4

4(4) + 4

16 + 4

20

The answer you are looking for is 20.

Since p=4 and q=4,

Therefore,

pq+4

Substitute each of the given values of the variables,

(4)(4)+4

16+4

20

Exercise 1

4x...X4 =

7 times

Answers

It’s 4 power 7 understand though the demonstration down :)
7
4
25x7 67/7 was a pink rabbit random answer

algebra hcf
10xyz and 15y²z²​

Answers

Answer:

5yz

Step-by-step explanation:

1st expression=10xyz

=5*2*x*y*z

2nd expression=15(y)2 (z)2

=5*3*y*y*z*z

therefore H.C.F=5yz

underlines are taking common.

I need help on an assignment.

Answers

Answer:

i believe that answer would be D

Step-by-step explanation:

In a sample of 600 college students, 87.2% said they graduated from high school. How many of the students graduated from high school?

Answers

Answer:

523.2 students

Step-by-step explanation:

87.2%×600=523.2 students

Answer:

523.2

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

What is the value of -2/3 x (-1/4)x(-24/4)

Answers

Answer:

-1

Step-by-step explanation:

What is the sum of all positive intergers from √8 to √42

Answers

√8 < √9 = 3

and

√42 > √36 = 6

which means the positive integers between √8 and √42 are 3, 4, 5, and 6, and their sum is 18.

f(x) = x − 7 and g(x) = x2 find f(g(−1))

Answers

Answer:

g (-1) = (-1)² = 1

f(g(-1)) = f(1)

f(1) = 1 - 7 = -6

Which expression is equivalent to -0.62u+u+ 0.89u?
0.51u
Ou + 0.27
Submit Answer
1.27u
O 1+ 0.27

Answers

Answer:

[tex]⚪ \: \: 1.27 \: u[/tex]

Step-by-step explanation:

[tex] - 0.62u + u + 0.89u \\ = ( - 0.62 + 1 + 0.89)u \\ = 1.27u[/tex]

Evaluate the function: f(n)=3n-1 ; f(-1)= ?

Answers

Answer:

A certain brand of laundry detergent is manufactured for $5.80 and then marked up 35% by the local store before selling. The store offers a 15% discount with the purchase of three or more bottles of the detergent. Showing all work, determine the total cost, before tax, of four bottles of detergent. (10 points)

Step-by-step explanation:

A certain brand of laundry detergent is manufactured for $5.80 and then marked up 35% by the local store before selling. The store offers a 15% discount with the purchase of three or more bottles of the detergent. Showing all work, determine the total cost, before tax, of four bottles of detergent. (10 points)

f(x) = (x + 1)(x - 5). What is the vertex?
(1,5)
(5.1)
(2.-9)
(-9,2)​

Answers

Answer:

(2, -9)

Step-by-step explanation:

f(x) = (x + 1)(x - 5)

[tex] =f(x) = {x}^{2} - 5x + x - 5[/tex]

[tex] = f(x) = {x}^{2} - 4x - 5[/tex]

[tex] = f(x) = {1x}^{2} - 4x - 5[/tex]

[tex] = f(x) = {1x}^{2} + ( - 4x) - 5[/tex]

= a = 1, b = -4

[tex] = x = \frac{ - 4}{2 \times 1} [/tex]

[tex] = x = - \frac{ - 4}{2} [/tex]

[tex] = x - ( - 2)[/tex]

[tex] = x = 2[/tex]

= f(x) = (x + 1) x (x - 5); x = 2

= f(2) = -9

= (2, -9)

What is the prime factorization of 81?
Enter your answer as a product of prime numbers, like 2 x 3, or as a single prime number, like 17.

Answers

Answer:

[tex]3^{4}[/tex]

Step-by-step explanation:

                 81

               27    3

            9  3    

        3  3

3*3*3*3 = [tex]3^{4}[/tex]

In which of the following pairs of numbers is -6 larger than the first number, but smaller than the second number?

Answers

Answer:

-7, -6, -5

Step-by-step explanation:

-7 < -6

-5 > -6

-7 < -6 < -5

janessa is playing a board game with two friends. using a single die, one friend rolled a four, and the other friend rolled a three. janessa needs to roll a number higher than both friends in order to win the game, and she wants to calculate her probability of winning. Is the probability of Janessa winning an independent event or dependent event

Answers

Answer:

It is a dependent event, because it depends of the number she'll get rolling the die

what are congruent triangles?​

Answers

Triangles that have all sides and angles the same length or degree.

Please give brainliest

Answer:

triangles that have the same size and shape.

Which equation represents a line which is parallel to the y-axis?
x = 6
O y = -1
Submit Answer
O x = 4y
Oy= 2 +1
PLS HELP ASAP

Answers

Answer:

x=6

Step-by-step explanation:

when there is no 'y' in equation, the line is always

parallel to y-axis

9. Tobias ran 3 miles. How many millimeters did he run? (1 mile = 1,610 meters)

Answers

Welcome to Brainly! I'm happy to help!

We see that there are 1,610 meters in a mile. However, we are looking for millimeters, not meters. But, knowing the meters will help us out.

A millimeter is a very small measurement. There are 1,000 millimeters in 1 meter. A meter is much larger. So, if we want to convert 1,610 meters to millimeters, there are going to be way more millimeters because they are so minute.

This means that we will have to multiply. We know that there are 1,000 millimeters in 1 meter, so if we multiply our meters by 1,000 (which is basically just adding 3 zeros), we will get the number of millimeters in one mile!

1,610×1,000=1,610,000 (one million six hundred and ten thousand!)

Don't forget that we are looking for 3 miles though, so we can take the number of millimeters in one mile and multiply by three.

1,610,000×3=4,830,000 (four million eight hundred and thirty thousand!)

So, Tobias ran 4,830,000 millimeters!

Have a wonderful day and keep on learning! :D

Determine which ordered pair is a solution to the following equation x+y=8

Answers

Answer:

(8,0)

and infinite number of ordered pairs make the equation

true 4,4 ... 5,3 ... 9,-1 ....

the solution can be said to be the loation where the graph crosses the x axis that point is (8,0)

Step-by-step explanation:


Ju Chan solved the previous question by finding the expression 4(-15).

Which problem would give the same result? Select two options.

Answers

Answer:

-15(4) or -4(15) or 15(-4)

Step-by-step explanation:

As long as you stick with the same variables, you can change their position in the equation or change both of their signs. This should give you the same answer.

Let's say your equation was -2(6). This means you must multiply -2 and 6. This should give you -12. You could also phrase it as 2(-6) or -6(2) or 6(-2). They all give you -12 as a result.

Answer:

(-1)(15+15+15+15)

(-15)+ (-15)+ (-15)+ (-15)

Step-by-step explanation:

4.
For which discriminant is the graph possible?

A. b2 – 4ac = 0
B. b2 – 4ac = 6
C. b2 – 4ac = –2

Answers

Answer:

A. b2 – 4ac = 0

Step-by-step explanation:

Hey user☺☺

Option a is correct

Because the graph has only one solution.

As the graph touches the x-axis at one point that means that it will have only one solution for x. But we know that a quadratic equation has two solutions. So the graph will have two equal solution and therefore the discriminant will be 0.

Hope this will help☺☺

put in order , smallest to largest 0.13 ,0.7 , 0.6

Answers

Answer:

0.13, 0.6, 0.7

Step-by-step explanation:

Basically when comparing a decimal from least to greatest look at the tenths place. Whoever's is the smallest, is the smallest decimal. Then you look at the second smallest etc. If two tenths are the same then you would compare the hundredths place so on.

The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
6,2,2/3….
Find the 8th term.

Answers

Answer:

Just divide 2/3 by 3 (or multiply by 1/3), 6 times to get the answer.

Suppose the average yearly salary of an individual whose final degree is a​ master's is ​$50 thousand less than twice that of an individual whose final degree is a​ bachelor's. Combined, two people with each of these educational attainments earn ​$124 thousand. Find the average yearly salary of an individual with each of these final degrees.

Answers

Bachelor's degree salary = $53000

Master's degree salary = $66000

Step-by-step explanation:

Given that :

Let Salary of bachelor's degree holder = x

Salary of Master's degree holder = 2x - 40000

Master's salary + bachelor's salary = $119,000

Hence,

Master's salary + bachelor's salary = 119,000

2x - 40000 + x = 119,000

3x = 119000 + 40000

3x = 159000

x = 159000 / 3

x = $53,000

Bachelor's degree salary = $53,000

Master's degree salary ; 2x - 40000 ; 2(53000) - 40000 = $106,000 - $40,000 = $66000

The average yearly salary of an individual with a bachelor's degree is $58,000, and the average yearly salary of an individual with a master's degree is $66,000.

Let, the average yearly salary of an individual with a bachelor's degree as "B" and the average yearly salary of an individual with a master's degree as "M".

According to the information given:

The average yearly salary of an individual with a master's degree is $50 thousand less than twice that of an individual with a bachelor's degree:

M = 2B - $50,000

The combined yearly salaries of two people with each of these educational attainments earn $124 thousand:

B + M = $124,000

Now we can solve this system of equations to find the values of B and M.

Substitute the value of M from the first equation into the second equation:

B + (2B - $50,000) = $124,000

3B - $50,000 = $124,000

Now, solve for B:

3B = $174,000

B = $174,000 / 3

B = $58,000

Substitute the value of B back into the first equation to find M:

M = 2B - $50,000

M = 2 * $58,000 - $50,000

M = $116,000 - $50,000

M = $66,000

So, the average yearly salary of an individual with a bachelor's degree is $58,000, and the average yearly salary of an individual with a master's degree is $66,000.

To learn more on equation click:

https://brainly.com/question/14468218

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Help with geometry please​

Answers

3x-10+42+58=180 because angles in a triangle add up to 180
X=30
Z is equal to 3x-10
So z=80
80+42= 122
180-122= 58 (angle C)
Y = 122 because angles on a straight line add up to 180