Suppose you want to factor the expression x2 + 2xn+n?. Given that n>0, what are the factors? Explain.

Select the correct answer below and, if necessary, fill in the answer box to complete your choice.

O A. The value of n can be any positive integer resulting in the same factor

O B. The value of n can be any positive integer resulting in the distinct factors

(Use a comma to separate answers as needed.)

O C. The value of n can be any prime integer resulting in the same factor

O

D. The value of n can be any prime integer resulting in the distinct factors

(Use a comma to separate answers as needed.)

O E. The expression cannot be factored for the given values of n.

Answers

Answer 1

Answer:

A. The value of n can be any positive integer resulting in the same factor

Step-by-step explanation:

Given

[tex]x^2 + 2xn + n^2[/tex] --- the right expression

[tex]n > 0[/tex]

Required

Possible values of n

[tex]x^2 + 2xn + n^2[/tex]

Expand

[tex]x^2 + 2xn + n^2 = x^2 + xn+xn + n^2[/tex]

Factorize

[tex]x^2 + 2xn + n^2 = x(x + n)+n(x + n)[/tex]

Factor out [tex]x + n[/tex]

[tex]x^2 + 2xn + n^2 = (x + n)(x + n)[/tex]

From the expression above, we can see that the result has the same factor. This means that options (b), (d) and (e) are not possible

[tex]x^2 + 2xn + n^2 = (x + n)^2[/tex]

The above also shows that n can take any positive value.

Hence: (a) is correct


Related Questions

Which is a true statement about the graph? es 0) A There is a relative maximum at x = 4. B) There is a relative minimum at x = 6. There is a relative minimum at x = -6. D There is a relative maximum at x = 10.​

Answers

Answer:

B-there is a relative minimum at x=6

Step-by-step explanation:

Triangle PQR is a right triangle. Triangle P Q R. Angle P is 90 degrees, angle Q is x degrees, angle R is 2 x degrees. Which equation could be used to find the measure of Angle Q? 180 = 3 x 180 = 3 x + 90 180 = 2 x + 90 90 = x + 2 x

Answers

Answer:

180 = 3x + 90°

Step-by-step explanation:

180 = x + 2x + 90

Answer:

B

Step-by-step explanation:

Got it right on edgy

Charlotte picks up a few necessities at her local neighborhood market. Use the receipt to determine the total amount Charlotte will pay for her purchases if there is an 8% sales tax.

Answers

Answer:

29.70

Step-by-step explanation:

Add up purchases 4.35+8.20+12.45+2.5=27.50

calc sales tax 27.50 x .08=$2.20

27.50+2.20=29.70

The solution is, 29.70 is the total amount Charlotte will pay for her purchases if there is an 8% sales tax.

What is addition?

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

given that.

from the given data, we get,

mouth wash = 4.35

detergent = 8.20

paper towels = 12.45

dish soap = 2.50

so, we get,

as total,

Add up purchases 4.35+8.20+12.45+2.5=27.50

now, we get,

calc sales tax 27.50 x .08=$2.20

so, we have,

27.50+2.20=29.70

Hence, The solution is, 29.70 is the total amount Charlotte will pay for her purchases if there is an 8% sales tax.

To earn more on addition click:

brainly.com/question/29560851

#SPJ2

Which graph represents a positive correlation?

Answers

Answer:Your answer is C

Step-by-step explanation:

helpppppppppppppppppppppppppppppppp

Answers

Answer: A

Step-by-step explanation:

So in what do you want me to help you with?

Find the length of the missing side

Answers

Answer:

43.7378554573

Step-by-step explanation:

use pythagoream thereom :D

Enter the equation of the circle with the given center and radius.

Center: (0, 5); radius: 5

The equation of the circle is

Answers

Answer:

[tex](x-0)^{2} + (y-5)^{2} = 25[/tex]

Step-by-step explanation:

The "template" equation of a circle is:

[tex](x-h)^{2} + (y-k)^{2} = r^{2}[/tex]

All you're doing after that, is filling in the blanks:

h = 0

k = 5

r = 5

Answer:

Correct answer:

(x−0)² + ( y−5)²=5²

Explanation:

The equation of a circle is (x−h)²+(y−k)²=r²

The center is (0,5) or, written another way (h,k). Substituting 0 for h and 5 for k, our formula becomes (x−0)²+(y−5)²=5²

Finally, the formula of the circle is (x−0)²+(y−5)²=25

a pizza costs $18.
a soda costs $2.50 .
Tax is 10%. What
is the total spent

Answers

18+2.50=20.50 so tax is 10% so you can put that into a calculator as 20.50*0.10 which equals 2.05 so just add 20.50 and 2.05 which is 22.55 is your final answer

The perimeter of square is 96cm .Find the area and the length of the diagonal​

Answers

Answer:

length is 32

formula of finding the length of square is 92 divided by 3

32

area is 1024

the formula of finding area is Lenght multiply by length

so 32 multiply by 32

1024

mark my answer brainliest

Please help!!!! PLEASE!
Consider the following pair of equations:

y = x + 4
y = −2x − 2

Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form. (5 points)

Answers

Answer:

(-2,2)

Step-by-step explanation:

Substitute answer for y in first equation (y=x + 4) into y of second equation

x+4=-2x-2

3x=-6

x=-2

put value of x (-2) into either equation to solve for y

y=x+4

y=-2+4

y=2

or y=-2x-2

y=-2(-2)-2

y=4-2

y=2

Help me on this and where do I put the dots?

Answers

Step-by-step explanation:

for the first one vount down 7 from -2 then for the second one its right on 5

Find m a. 26
b. 36
c. 56
d. 34

Answers

The answer is c or b

Calcula el RIQ de las temperaturas en las Ciudades de Kansas, Misouri las temperaturas: 23,25,28,28,32,33,35 y en Paradise, Michigan. Las temperaturas: 16,24,26,26,26,27,28 *

Answers

Respuesta:

Kansas, Misuri = 8

Paradise, Michigan = 3

Explicación paso a paso:

El rango intercuartílico (IQR) = Q3 - Q1

Q3 = 3/4 (n + 1) th término

n = número de muestras

Q1 = 1/4 (n + 1) th término

Kansas Misuri:

23,25,28,28,32,33,35

Datos pedidos: 23, 25, 28, 28, 32, 33, 35

n = 7

Q1 = 1/4 * 8 = 2do trimestre = 25

Q3 = 3/4 * 8 = 6. ° tem = 33

Q1 = 33 - 25 = 8

Paradise, Michigan:

16,24,26,26,26,27,28

Datos pedidos: 16,24,26,26,26,27,28

Q1 = 1/4 * 8 = 2do = 24

Q3 =. 3/4 * 8 = 6to = 27

Q3 - Q1 = 27 - 24 = 3

A customer left an 18% gratuity of $27. What was the amount of the bill? $27.18 $43.00 $150.00 $486.00

Answers

Answer:

The amount of the bill was $150.

Step-by-step explanation:

With the information provided, you can use a rule of three to find the amount of the bill which would represent 100% given that $27 represent 18%:

18%     →    27

100%   →      x

x=(100*27)/18

x=150

According to this, the answer is that the amount of the bill was $150.

Pls help And explain!!

Find the numbers between 1 and 50 that
are even, multiples of 6 and when divided
by 5 have a remainder of 2.
and

Answers

Answer:

12

Step-by-step explanation:

Divide 12 by 5 to get about 2 as the remainder. 12 is also a multiple of 6!

I hope this helps! Can you please mark brainliest!

What is the value of the expression (-2t^2)^3' when 't = -3'?

Answers

Answer:

I believe it is 46656

Step-by-step explanation:

(-2*-3) = 6 ^2 = 36^3 = 46656

Hope this helps you!

Select all expressions that are equivalent to 4(y + 2).
A 4y + 2
B4y + 8
Cy+y + y + y +2
D 5(y +2) – (y + 2)
Ey + y + y + y + 2+2+2+2
F.5(y + 2) - (y – 2)

Answers

Answer:

BDE

Step-by-step explanation:

× A = 4y + 2 = 2(4y/2 + 2/2) = 2(2y + 1) ≠ 4(y + 2)

✓ B = 4y + 8 = 4(4y/4 + 8/4) = 4(y + 2) = 4(y + 2)

× C = y + y + y + y + 2 =

y (1 + 1 + 1 + 1) + 2 = 4y + 2 = A ≠ 4(y + 2)

✓ D = 5(y + 2) – (y + 2) = 5(y + 2) – 1(y + 2) =

(5 – 1)(y + 2) = 4(y + 2)

✓ E = y + y + y + y + 2 + 2 + 2 + 2 =

y (1 + 1 + 1 + 1) + (2 + 2 + 2 + 2) =

4y + 8 = B = 4(y + 2)

× F = 5(y + 2) – (y – 2) =

(5y + 10) + (-y + 2) =

(5y – y) + (10 + 2) =

4y + 12 = 4(y + 3) ≠ 4(y + 2)

If one adult works 4 weeks per month at
40 hours per week, what is the minimum hourly
wage, to the nearest cent, that person must
earn in order to meet the family's budget
needs?

Answers

Answer:

15.21

Step-by-step explanation:

All of the bills total to $2432.50. The person works 160 hours in a month. $2432.50 ÷ 160 = $15.20, BUT:

$15.20 × 160 = $2432, which is 50 cents short of what they need, so one extra cent in their wage will give them the amount they need.

$15.21 × 160 = $2433.60

Which of the following is an example of scale?
O 0.25 inches = 1 foot
O 26 feet x 19 feet
O 12 inches in 1 foot
Room holds 1427 rubber ducks

Pls help me :3

Answers

Answer:

12 inches in 1 foot

Step-by-step explanation:

In this problem, we need to find an example that is a scale.

There must be a relation between two units.

There are many types of units of lengths. These can be metre, cm, mm, foot, inches.

The relation between inch and foot is given by :

1 foot = 12 inch

So, we can say there are 12 inches in 1 foot.

Hence, the correct option is (c).

AHHHHHHHHHH I DON'T LIKE MATH!!!!!!!!!!!!!!!!

Answers

Answer:

The answer is 5 1/16

Step-by-step explanation:

3/2 x 3/2 x 3/2 x 3/2

3/2 x 3/2 = 9/4

9/4 x 3/2 = 27/8

27/6 x 3/2 =81/16

Turn 81/16 into a mixed fraction and it’s 5 1/16

Therefore, the answer is 5 1/16

I need help ASAP!!!!!!!

Answers

Answer:

2 4/8 or 2 1/2

Step-by-step explanation:

Hope its helpful!

No clue how to do this.

Answers

Answer:

Look at the graph, on the left side it says snow on the ground, and it starts on 5, as the storm continued more fell. nvm.

Step-by-step explanation: The answer to your question is 5, because that is how much is on the ground at the beggining.

Answer

5 Inches of snow was on the ground when the storm started.

Step-by-step explanation:

I need help ASAP
between 42 and 43° S latitude
between 39° and 40° N latitude
between 93° and 94° W longitude
between 42 and 43° N latitude

Answers

Answer:

B

Step-by-step explanation:

got it right on test

A space ship traveled from the earth
to the moon in 248 hours. How fast did it travel?

Answers

Is there any measurement units?

Help- f(x)=4(x-5)(x+2)

Finish:
Started with phone conversations and I
Flew out to see you, it's raining outside
We sat by the water and talked about life
Oh

Answers

Answer:

What are you trying to find?

Step-by-step explanation:

need help to find x. rounded to the nearest tenth or as a fraction/whole number?

Answers

Answer:

3.5

Step-by-step explanation:

This is a 30-60-90 triangle so the hypotenuse is equal to 2 times [tex]\sqrt{3}[/tex].

[tex]x = 2\sqrt{3}[/tex] ≈ 3.5

Can someone please help me ? I don’t understand this

Answers

63 divided by 95 and put into a calculator to get the nearest tenth of a %

In the figure to the right, if AC = 20 and BC = 17, what is the
radius?
А
8
The radius is approximately (Round to the nearest tenth as needed)

Answers

Answer:

Step-by-step explanation:

Help Please ASAP!!!!!!!!!!

Answers

Answer:8(B)

Step-by-step explanation:

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Given:

Grocery store located at point (5,-4).

Park is located at point (-5,4).

Paula's house is halfway between the Grocery store and park.

School is halfway between the Paula's house and park.

To find:

Ordered pair for the school.

Solution:

Formula used:

[tex]\text{Midpoint}=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

Paula's house is halfway between the Grocery store and park. It means the location of Paula's house is the midpoint of (5,-4) and (-5,4).

[tex]\text{Paula's house}=\left(\dfrac{5+(-5)}{2},\dfrac{(-4)+4}{2}\right)[/tex]

[tex]\text{Paula's house}=\left(\dfrac{0}{2},\dfrac{0}{2}\right)[/tex]

[tex]\text{Paula's house}=\left(0,0\right)[/tex]

So, the Paula's house is located at (0,0).

School is halfway between the Paula's house and park. It means the location of the school is the midpoint of (0,0) and (-5,4).

[tex]\text{School}=\left(\dfrac{0+(-5)}{2},\dfrac{0+4}{2}\right)[/tex]

[tex]\text{School}=\left(\dfrac{-5}{2},\dfrac{4}{2}\right)[/tex]

[tex]\text{School}=\left(-2.5,2\right)[/tex]

Therefore, the correct option is B.

Other Questions
I CAN DO IT!A. Directions: In a 500-m run competition, the following data was recorded. Solvevelocity using the formula, v-d/t, wherein: v=velocity, d=displacement, timev(m/s)PLAYERSMarioneHannahWilliamPrincessAxeld(m)500in500m500m500m500mt(s)5360555863Paturo plsss answer now can someone help?? please! The foundation of China's government and educational system was ___.the collected sayings of the emperorsa series of changes enacted by Genghis Khanthe teachings of Confucianismdemocracy Why is trade necessary for a Globalized society? Is anyone hurt by trade? how does the concept of opportunity cost help consumer to make informed decision Choose the problem that has the same answer as 6 2 3.6 3 21 3 62 1 62 3 1 Some number was divided by 3. After which, the quotient was added to 8. Next, the sum is multiplied by 6, which resulted in 42. Given this product, find the initial number. a mi____ ____ la clase de espanol HELP HELP PLEASE!! ITS MATH 6 I had 350 my mom gave 150 my dad gave me 150 my aunt and uncle gave me 100 I had 30 how much did I have what is the alternative ending to the story hey come on out Find the measure of each arc in OP Question 2 of 20Which sentence below rewrites the following words as a negative Uds.command using indirect and direct object pronouns?Uds./ no arreglar / los pantalones / para nosotrosA. No nos los arreglen.B. Arrglenoslos.C. No los arrenglenO D. No se los arreglen. Metabolism can be cate Symbiosis and anabolism Morphosis and catabolism Symbiosis and catabolism Catabolism and anabolismgorized in which of the following phases? What do you think will happen next? What will happen with Gatsby and Daisy? Tom and Myrtle? Nick and the group? Why? Type the correct answer in the box. Spell all words correctly. Jenny is discussing a camera with her friend. She says that, in this camera, the mirror blocks the view when the operator presses the shutter button. Therefore, for long exposures, you can't see the image you're shooting. Which camera Is Jenny referring to? In a camera, the mirror blocks the view when the operator presses the shutter button. Reset Next What makes it special grandparents to see you graduate Please be in complete sentences and good reason. Which of the following was repealed by allowing popular sovereignty in Kansas and Nebraska? A. Compromise of 1850 B. Kansas-Nebraska Act C. Missouri Compromise D. Fugitive Slave Law How does the poet's use of the words sanities,levelness, and rational affect the tone of the poem?A. She purposefully chooses words which arenostalgic and remind the audience of the past.B. She purposefully chooses words which convey asense of urgency about urban problems.C. She purposefully chooses words which willpersuade and advise the audience againstspontaneity.D. She purposefully chooses words which soundneutral to convey the idea of uniformity insuburban life. With your current supply of sauce, the most efficient way to produce both Pizza and Spaghetti.