1. Which expression can be factored into the form (ax + b)(ax - b), where
a and b are rational numbers?
4n2 - 81
2n2 - 49
2n2 + 49
4n2 + 81

1. Which Expression Can Be Factored Into The Form (ax + B)(ax - B), Wherea And B Are Rational Numbers?4n2

Answers

Answer 1
The answer is 4n2-81...factors into 2n+9 and 2n-9
Answer 2

The expression that can be factored into the form (ax + b)(ax - b), where a and b are rational numbers, is 4n² - 81.

What are the factors?

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

Here,


A.
4n² - 81,
This can be factored as (2n - 9)(2n + 9), which is of the form (ax + b)(ax - b).

B.

2n² - 49,
This can be factored as (n - 7√2)(n + 7√2), but not in the form (ax + b)(ax - b).

C.

2n² + 49:

This cannot be factored into the form (ax + b)(ax - b) using rational numbers. We can factor it over the complex numbers as (n + i√49/2)(n - i√49/2), where i is the imaginary unit, but this does not satisfy the conditions of the problem.

D.

4n² + 81,
This cannot be factored into the form (ax + b)(ax - b)

Therefore, the expression that can be factored into the form (ax + b)(ax - b), where a and b are rational numbers, is 4n2 + 81.

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Related Questions

Emily sold lemonade. Each serving of lemonade was 8 fluid ounces. Which measurement is equivalent to each serving of lemonade Emily sold?

Answers

Answer:

Catch Me Knuckles!

Step-by-step explanation:

graph y= 2/3x-4

How do I graph this?

Answers

Answer:

Read below !!

Step-by-step explanation:

Since you are already given the full equation, you would just follow the steps of plotting a line! I start usually by plotting the y-intercept, which is always on the y-axis. In this case, that would be -4 ! You mark -4 on the line, and from there, you would use RISE/RUN to find out the slope of the line. Since it's 2/3, you would rise 2, and go to the right 3, all from the point -4. You should do that about two times in order to get your line !!

I hope this helps !!

Select all the fractions that are equivalent to 2.6

Answers

Answer:  

2.6 as a fraction is 2 3/5. When you read the decimal 2.6, it is read as ''2 and 6 tenths. '' This can also be written as a mixed number of 2 6/10.

Step-by-step explanation:

Answer:

I won't be able to answer your qeustion if I can't see your problem, ur picture is all black.

Step-by-step explanation:

Find the Y intercept of the line y-3=2(x + 1)​

Answers

Answer:

y=2x+1

Step-by-step explanation:

What are the like terms in the following algebraic expression? 5 - 3y + 2x - 5y + x - 2 + 3x^2

Answers

Answer:

3y+2x+5y+3x

Step-by-step explanation:

sepreate the varible numbers from the reguler


A glass vase factory recently produced 4 vases that were chipped and 16
vases that were not. Considering this data, how many of the next 10 vases
would you expect to be chipped?

Answers

Answer:

2

Step-by-step explanation:

4 chipped + 16 not chipped = 20 total

4 / 20 = 1/5 or 20% chance that vase will be chipped

Set up a proportion or find 20% of 10.

[tex]\frac{1}{5} = \frac{x}{10}[/tex]     x = 2 (ten is on denominator because it's the total amount of vases)

or 10 * 0.2 = 2

40% of the people at Tim's Halloween party dressed up as superheroes. If 14 people dressed as superheroes, how many people were at Tim's Halloween party?

Answers

The answer should be 6 hope this helps


Which equation is nonlinear?
o 2x - y = 9
Oy = x2 + 3
Oy = 2x - 3
OX= y

Answers

X=y is not a linear equation

Nicole's school is selling tickets to a play. On the first day of ticket sales the school sold 3 senior
citizen tickets and 14 student tickets for a total of $232. The school took in $230 on the second day by selling 11 senior citizen tickets and 7 student tickets. Find the price of a senior citizen ticket and the price of a student ticket
100 points

Answers

Answer:

→ please refer to the above attachment ←

★ Cost of senior ticket is $12.★ Cost of student ticket is $14.

Please help me!!!!!””

Answers

Answer:

d=45t

Step-by-step explanation:

to find speed you divide the distance by the time. 67.5/1 1/2 = 45

Answer:d=45t

Step-by-step explanation:

I took the i-Ready

Jayla has 500 stickers in a collection. She wants at least y stickers in her collection at the end of the month. She buys 25 stickers each day. Write an inequality tha
number of days. Enter your answer in the box provided.

Answers

Answer:

20

Step-by-step explanation:

500 divided by 25=20

The required inequality is 500 + 25x ≥ y which represents the given situation.

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

Let x be the number of days Jayla buys stickers.

The total number of stickers Jayla has at the end of the month is 500 + 25x.

To represent the inequality that Jayla wants at least y stickers in her collection at the end of the month, we can write:

500 + 25x ≥ y

This inequality states that the total number of stickers Jayla has (500 + 25d) is greater than or equal to the number of stickers she wants (y) at the end of the month.

It gives the minimum number of days Jayla should buy stickers to achieve her goal.

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How long will it take to fill the tank with 40 gallons of water?

Answers

Answer:

15-25

Step-by-step explanation:

10-15 minutes hope this helps also can someone help me what is the summary of chapter 27 book two roads

Can someone please teach me long division, and please provide examples.
i haven't done long division in so long and i need to sharpen up.
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oh yea 50 points each.

Answers

Answer:

Step-by-step explanation:

Divide the tens column dividend by the divisor.

Multiply the divisor by the quotient in the tens place column.

Subtract the product from the divisor.

Bring down the dividend in the ones column and repeat.

okay so look at the image down below

select all the expressions that have the same value as

Answers

Same value as what i cant see the numbers?

A ship leaves port at 1 pm traveling north at the speed of 30 miles/hour. At 3 pm, the ship adjusts its course on a bearing of N 20º E. How far is the ship from the port at 4pm?

Answers

It was not until the end of the day I will be able to get the most out of the way ↕️ the first place in the first half of the season ⛄ and a few others are doing it is not the only one who has a lot of very high quality of care and treatment for me and the second is a very nice, but it does was the only thing I do you know that you can get the best out there that can be used for the first time in a long time, but I think it is a very nice and the other hand, the more I think about it, I was able to get the most out of your way to a new study by its is the only one who has a very nice to be able to get the most from a variety of different types of people and a few others.

Please help. I don't understand this.​

Answers

Answer:

radius=6

Step-by-step explanation:

arc ACB=6xPi

Pi=3.14159

arc ACB=18.85 (rounded to 2 places)

ACB is a half circle so a full circle would be 18.85x2 or 37.7

circumference (whole circle)=2 x Pi x radius

37.7=2 x 3.14159 x radius

radius= 37.7/(2 x 3.14159)

radius=6

solve the equation 4x^2-27x-5=-10x to the nearest tenth

Answers

Answer:10x^2-27x+5. 10x2−27x+5 10 x 2 - 27 x + 5. For a polynomial of the form ax2+bx+c a x 2 + b x + c , rewrite ...

Step-by-step explanation:

The solution of the equation:

x = -0.28 to the nearest tenth.

x = 4.53 to the nearest tenth.

What is a quadratic equation?

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

A quadratic equation,

4x²-27x-5 = -10x

Simplifying,

4x²-27x-5 + 10x = 0

4x²-17x-5 = 0

So,

x = {-(-17) ± √(289 + 80)}/8

x = (17 ± √369) / 8

When we take - sign,

x = - 0.276

x = -0.28 to the nearest tenth.

When we take + sign,

x = 4.526

x = 4.53 to the nearest tenth.

Therefore, the values are x = -0.28 and x = 4.53.

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Smallest to greatest
1/3 0.6 0.721

Answers

0.721, 0.6. 1/3 I think is the order.

which expression is equivalent to 3 x 3 x 3 x 3

Answers

Answer:

I can’t c anything where are the answers we’re choosing ?

Step-by-step explanation:

Answer:

raise 3^4 and ans is 81 or u can simply multiply.

HELP ME PLEASE!!! I DON'T UNDERSTAND!

Answers

Answer: 12

Step-by-step explanation:

this is a right angled triangle so you use the pythagorean theory

which is a^2 + b^2 = c^2

you have c and b already. c is the hypotenuse.

a^2 + 16^2 = 20^2

a^2 + 256 = 400

a^2 = 400 - 256

a^2 = 144

then you square root 144 and get..

a = 12

Answer:

I believe that the answer is 12 but find someone who knows for sure.

A floral design on a floor is made up of 16 tiles which are triangular,
the sides of the triangle being 9cm, 28cm and 35cm. Find the cost of
polishing the tiles at the rate of 50p per m^2?

Answers

Answer:

Answer

Area of tiles = 16 x area of 1 Δ

S=  

2

a+b+c

​  

=  

2

9+28+35

​  

=  

2

72

​  

=36

Area=  

36(36−9)(36−28)(36−35)

​  

 

36×27×8×1

​  

 

36  

6

​  

cm  

2

 

Area of tiles = 16 ×36  

6

​  

 

=1410.20.

Cost of polishing per cm  

2

 = 50.

Cost of polishing = 1410.90 cm  

2

 

1410.90 x  

2

1

​  

 

705.45

Step-by-step explanation:

this square-based oblique pyramid has a volume of 125 what is the height of the pyramid?

Answers

I feel like you need more information here. The volume of a square pyramid is 1/3s^2h where s is a side of the square and h is the height, but you’re only given the volume. Is there a picture that shows what one of the sides is?

Help will make branliest

Answers

Answer:

I like that you watch wwe for one. but lets get started

the answer itself is m< 4=87

Step-by-step explanation:

Answer:

The answer is 87°

Step-by-step explanation:

A quadrilateral has an interior angle sum of 360°.

Given that three of the four angles in a quadrilateral are 89°, 80°, and 104°, we can create the following equation where x is the missing angle:

89° + 80° + 104° + x° = 360°.

All you have to do is add all the measures up and subtract from 360°.

89° + 80° + 104° + x° = 360° →

273° + x° = 360° →

x° = 87°.

Also, for any polygon, the interior angle sum is (n – 2) × 180°, where n is the number of sides.

A quadrilateral is a polygon with four sides so it's interior angle sum must be

(4 – 2) × 180° = 2 × 180° = 360°.

(PLEASE HELP ME)
Which of the following equations is correct?

Please help me thank you so much!!

Answers

Answer:

B

Step-by-step explanation:

Distributive property: a*(b + c)= (a*b) + (a*c)

[tex]\frac{3}{4}*(\frac{1}{2}+\frac{-2}{5})=\frac{3}{4}*\frac{1}{2}+\frac{3}{4}*\frac{-2}{5}\\\\=\frac{3}{8}+\frac{-6}{20}\\\\=\frac{3*5}{8*5}+\frac{-6*2}{20*2}\\\\=\frac{15}{20}+\frac{-12}{40}\\\\=\frac{15-12}{40}\\\\=\frac{3}{40}[/tex]

can someone please help me

Answers

it would be 30 degrees since a line is 180. You subtract 150 from 180 and get 30.
It’s equivalent to 30 degrees

Please help me with this! I will give 25 points and Brainliest if it is correct!

Which ratio is equivalent to 4:5?

A. 10/15

B. 4/10

C. 16/20

D. 15/ 8

Answers

Answer:16/20

Step-by-step explanation:  

if you divide the two numbers by 4 you have:

16/4=4

20/4=5

(if you divide or multiply both of the numbers with the same number, the ratio will remain the same)

So the two numbers are same

The answer is 16/20 I really hope this helps

Please help me. You will be marked brainliest.

Answers

Answer:

What do you need help with?

Step-by-step explanation:

HELP THIS IS DUE FOR TODAY's WORK

In a high school basketball game, Sarah scored 19 points in the first half of the game. In the second half, Sarah scored only 3-point shots. Sarah scored a total of 37 points during the entire game. How many 3-point shots did Sarah make in the second half?
Group of answer choices

18

19

4

6

Answers

Answer:

19-37=18

18÷3=6

she scored (6) 3-points

Answer:

4

Step-by-step explanation:

what you would do is 19-3 and get 16 then add 3 until you get 37. you would have to cout how many times you counted up 3, here we go,16,19,21,24,27,30,33,36 we have a remainder but she made 8 shots. so since we are 1 short we have to divide by 2 to get 4.

hope this helped, pls mark brainliest

heyyy wanna help mee

Answers

Answer: Only j = 2

============================================

Explanation:

Let's solve for j

[tex]\frac{96}{j} \ge 40\\\\96 \ge 40j\\\\\frac{96}{40} \ge j\\\\2.4 \ge j\\\\j \le 2.4[/tex]

In the second step, I multiplied both sides by j. If j is a positive number, then the inequality sign will not flip. All of the answer choices are positive numbers, so we don't have to worry about the inequality sign flipping.

The last step shows that j = 2.4 or j < 2.4

So j is 2.4 or smaller.

Of the list given to us, only j = 2 fits the description, since something like j = 8 is not 2.4 or smaller.

---------------------------

If j = 2, then,

[tex]\frac{96}{j} \ge 40\\\\\frac{96}{2} \ge 40\\\\48 \ge 40\\\\[/tex]

which is a true statement since 48 is larger than 40. This shows that j = 2 is a solution.

Something like j = 8 does not work because

[tex]\frac{96}{j} \ge 40\\\\\frac{96}{8} \ge 40\\\\12 \ge 40\\\\[/tex]

which is false because 12 is not equal to 40 or larger than 40. This means j = 8 is not a solution. You should find that j = 12 and j = 3 lead to similar false statements.

Of the list given, j = 2 is the only solution.

Answer:[tex]\boxed{\boxed{\sf{j=2}}}[/tex]Solution Steps:

______________________________

1.) Solve using j = 12:Plug in 12: [tex]\frac{96}{12}[/tex] ≥ [tex]40[/tex]Divide 96 by 12: [tex]=8[/tex] Compare: [tex]8[/tex] ≥ [tex]40[/tex]

So this is False.

2.) Solve using j = 8:Plug in 8: [tex]\frac{96}{8}[/tex] ≥ [tex]40[/tex]Divide 96 by 8: [tex]=12[/tex] Compare: [tex]12[/tex] ≥ [tex]40[/tex]

So this is False.

3.) Solve using j = 2:Plug in 2: [tex]\frac{96}{2}[/tex] ≥ [tex]40[/tex] Divide 96 by 2: [tex]=48[/tex]Compare: [tex]48[/tex] ≥ [tex]40[/tex]

So this is True.

4.) Solve using j = 3:Plug in 3: [tex]\frac{96}{3}[/tex] ≥ [tex]40[/tex]Divide 96 by 3: [tex]=32[/tex] Compare: [tex]32[/tex] ≥ [tex]40[/tex]

So this is False.

______________________________

The total charge for a yearly internet DVD rental membership is $231. A registration fee of $15 is paid up front , and the rest is paid monthly. Write an equation to determine how much new members pay each month, m.
How much do new members pay each month,m.

Answers

Answer:

89 cents.

Step-by-step explanation:

hope this helps

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