factor the expression below 36a2-49b2

Answers

Answer 1

Answer:

(6a - 7b)(6a + 7b)

Step-by-step explanation:

Given

36a² - 49b² ← this is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

Thus

36a² - 49b²

= (6a)² - (7b)²

= (6a - 7b)(6a + 7b)


Related Questions

Write and equation in slope-intercept form of the line that passes through the points
(-5,-12) and (1,6)
The equation is y=

Answers

Answer:

Step 1: We need to use slope formula* to determine what m (or the slope) is.

[tex]m = \frac{6 - (-12)}{1 - (-5)}\\\\m = \frac{18}{6} = 3[/tex]

Step 2: Now we use this slope, ONE of the given points, and slope-intercept form** to determine b.

[tex]6 = 3(1) + b\\\\6 = 3 + b\\\\3 = b[/tex]

Step 3: The final answer can now be found by using the slope and y-intercept (or b) that we just found.

[tex]y = 3x + 3[/tex]

For Reference:

*Slope formula

[tex]m = \frac{y_{2} - y_1}{x_2 - x_1}[/tex]

*Slope-intercept Formula

[tex]y = mx + b[/tex]

What is the value of the expression
-1s/20r if r= -1/4 and s= 4/5?
Simplify your answer.​

Answers

Answer:

[tex]\frac{4}{25}[/tex]

Step-by-step explanation:

Given expression:

          [tex]-\frac{1s }{20r}[/tex]  

   r  = [tex]-\frac{1}{4}[/tex] , s = [tex]\frac{4}{5}[/tex]

Now;

     [tex]-\frac{1s }{20r}[/tex]    = [tex]-\frac{s}{20r}[/tex]

              Insert the parameters:

                = [tex]-\frac{\frac{4}{5} }{20 x (-\frac{1}{4} )}[/tex]  

               = - [tex]\frac{\frac{4}{5} }{-5}[/tex]  

              -x - = +

                = [tex]\frac{4}{5}[/tex] x [tex]\frac{1}{5}[/tex]

                = [tex]\frac{4}{25}[/tex]

Holly and Ethan decide to sell some of their books at a flea market. The booth rental costs $15, and they will sell each book for $1.50. How many books will Holly and Ethan need to sell to make a profit of exactly $30?

Answers

Answer:The answer would be 20 books divide 15 \ 1.50 equals 10 then multiply 10 by 2

Step-by-step explanation:

The number of books sold by Holly and Ethan to get a profit of $30 will be 20.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Holly and Ethan decide to sell some of their books at a flea market. The booth rental costs $15, and they will sell each book for $1.50.

The number of books will be calculated as,

1.5x = 30

x = 30 / 1.5

x = 20

Therefore, the number of books sold by Holly and Ethan to get a profit of $30 will be 20.

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387/4300 as a percent

Answers

Answer:

9%

Step-by-step explanation:

Convert the fraction to a decimal, then multiply by  

100. Hope this helps!

This would equal nine percent.

A football stadium is capable of seating a maximum of m fans. For each game, the
amount of money that the stadium brings in as revenue is a function of the number of
people, n, in attendance. If each ticket costs $30.00, what is the domain of this function?

Answers

Answer:

The revenue depends on the number of people n that purchases tickets, knowing that each ticket costs $30.00, the total revenue will be:

f(n) = $30.00*n

Now, we also know that the stadium is capable of seating a maximum of m fans, so the maximum possible value for n is m.

Now, for the function f(n), we have that:

The domain is the set of the possible values of n

The range is the set of the possible values of f(n).

We want to find the domain.

First, the minimum possible value of n is 0, the case where nobody purchases a ticket.

The maximum possible value of n is m, this is the case where the stadium is full.

Then the domain will be:

D= {n,m ∈ Z, 0 ≤ n ≤ m}

Where we imposed that n must be an integer number because n represents a whole quantity.

The domain of the function should be [tex]0\leq n\leq m[/tex] where n and m are integers because they represent the number of people.

Given information:

A football stadium is capable of seating a maximum of m fans.

People attending the game are n.

The cost of each ticket is $30.

The  amount of money that the stadium brings in as revenue is a function of the number of  people, n.

So, the money will be calculated based on the attendance of people which implies that n will be the independent variable of the function.

So, the revenue generated can be written as,

[tex]f(x)=30n[/tex]

Here, the value of n represents the domain of the function.

Now, the maximum number of people allowed in the stadium is m as there are only m seats.

Therefore, the domain of the function should be [tex]0\leq n\leq m[/tex] where n and m are integers because they represent the number of people.

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Find the slope of:
(-4,5) and (-4, 2)

Answers

The slope is undefined.

What is a slope?

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction

Given points (-4 ,5) and (-4 ,2).

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

m = (2-5) / (-4+ 4)

here,  (x₂ - x₁)  =0

That means the slope is undefined.

Therefore, the slope is undefined.

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(WILL GIVE BRAINLIEST) Solve for x.
-2(-9x+5)-4x=2(x-5)-4

Simplify your answer as much as possible

Answers

Answer:

−2(−9x+5)−4x=2(x−5)−4

Step 1: Simplify both sides of the equation.

−2(−9x+5)−4x=2(x−5)−4

(−2)(−9x)+(−2)(5)+−4x=(2)(x)+(2)(−5)+−4(Distribute)

18x+−10+−4x=2x+−10+−4

(18x+−4x)+(−10)=(2x)+(−10+−4)(Combine Like Terms)

14x+−10=2x+−14

14x−10=2x−14

Step 2: Subtract 2x from both sides.

14x−10−2x=2x−14−2x

12x−10=−14

Step 3: Add 10 to both sides.

12x−10+10=−14+10

12x=−4

Step 4: Divide both sides by 12.

12x

12

=

−4

12

x= -1/3

Step-by-step explanation:

Good luck! Hope this helps! <3

Answer :

[tex]x = - \frac{1}{3} [/tex]

or you can just write x = -0.3

hope this helps!

Find the slope of the line

Y=1/4x + 2

Answers

Answer: 14

Step-by-step explanation:

Luis rides his bicycle 3/4 mile in 15 minutes, or 1/4 hour, along the bike trail. Assuming he rides at a constant rate, what is his speed, in miles per hour?​

Answers

Answer: 3

This is because 15 times 4 equals 60 and that is equal to 1 hour, well when your multiplying fractions what you do to the bottom you have to do to the top so multiply 3 times 4 thats 12 and now you have 12/4 and that is equal to 3.

Which linear inequality is represented by the graph?

1 y 1/2x + 2
2 yx+2
3 y=x+2
4 y2 x + 2

Answers

Answer:

A

Step-by-step explanation:

The linear equation of inequality is y ≤ ( x/2 ) + 2

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

The x intercept of the equation is when y = 0

So , A ( -4 , 0 ) is the x intercept

And , the y intercept is when x = 0

So , B ( 2 , 0 ) is the y intercept

Therefore , the inequality is y ≤ ( x/2 ) + 2 and the graph is plotted

Hence , the inequality is y ≤ ( x/2 ) + 2

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Please help meee I really need help I’ve been struggling badly..

Answers

Answer:

make it so that its flat or turn it left

Step-by-step explanation:

Kim sold a house for $230,000 and made a 3% commission. How much money did Kim make in commission for selling the house?

Answers

Answer: kim made $6,900 in commission for selling the house

Step-by-step explanation:i took the test

ASAP HELP BRAINLIEST 100 POINTS PLZ PLZ PLZ HELP



Michelle is having a poster printed from a picture that is 4 inches wide by 6 inches tall. The enlarged poster is 20 inches wide and 30 inches tall. Which proportion can be used to represent the picture sizes?
StartFraction 6 over 4 EndFraction = StartFraction 20 over 30 EndFraction
StartFraction 4 over 6 EndFraction = StartFraction 20 over 30 EndFraction
StartFraction 4 over 6 EndFraction = StartFraction 30 over 20 EndFraction
StartFraction 4 over 30 EndFraction = StartFraction 6 over 20 EndFraction

Answers

Answer:

20 inches wide and 30 inches tall

Step-by-step explanation:

if the height went from 6 to 30 that means it grew by 5 so the poster would be

20 inches wide and 30 inches tall

Answer:

Start Fraction 4/6

End Fraction  20/30

75c- 300 - 35 c =25c + 15c + 200

Answers

Answer:

False

Step-by-step explanation:

40c - 300 = 40c + 200

-300 = 200

false

PLEASE HELP FAST!!!!Match each description to the expression that can be used to represent it.

Answers

Mayra is the middle child of the family is a, Sakshi is 1 year older than maya is 1+a, and Amul is 2 years younger than Maya is a-2.

Answer:

The first box on the left goes to the middle box on the right! THe second box on the left goes to the first box on the right! And the last box on the left goes to the third box on the right!

Hope this helps and u understand it

A hierarchy of quadrilaterals is shown. Name the figures that complete the hierarchy. Number the figures in your response to indicate where in the diagram they belong.​

Answers

A hierarchy of quadrilaterals is shown. Name the figures that complete the hierarchy. Number the figures in your response to indicate where in the diagram they belong.

SOMEONE PLZ HELP JSJSJSNSJNSNSNSNSNNS I HAVE 30 MINS LEFT PLZ

Answers

Answer:

the answer is d. x >=4

please help. i will give brainliest to the right answer

Answers

Answer:

use math-way it will really helps

Answer:

I believe its 15 because when substituting the number 15 means that when working the question out, both sides equal to the same number if x is equal to 1 for example

Find the slope of the line passing through the points (-8,-8) and (6,-8)

Answers

Answer:

Slope = 0

So, the line is parallel to x-axis

Step-by-step explanation:

(x₁ , y₁) = (-8, -8)      & (x₂ ,y₂) = (6 , -8)

[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\=\frac{-8-[-8]}{6-[-8]}\\\\=\frac{-8+8}{6+8}\\\\= 0[/tex]

name 2 negative integer

Answers

Answer:

A number that is less than zero

Step-by-step explanation:

-13, -56

PLS HELP ASAP NO ONE HELPS ME PLSSSSSSSSS.
What is the equation for the line in slope-intercept form?

Enter your answer in the box.

Answers

Answer:

y = -2x - 4

Step-by-step explanation:

-2 is our slope

-4 is our y intercept (the point which the line crosses the y axis)

y=-2/1-4

-4 is the y intercept

the slope is -4/2, but it simplifies to -2/1

Follow my Pinterest 13jadyn13

Answers

You know that seems very interesting

Help me I don’t not understand

Answers

Sorry I couldn’t answer S,T, &F. But I hope with the other problems that I solved makes sense, in order for you to solve the other 3.

an item is regularly priced at $95. it is on sale for 40% off the regular price. what is the sale price?​

Answers

Answer:

The sale price is $57.

Step-by-step explanation:

Given that the sale is 40% discount so you will have to pay for the remaining 60%. In order to find the sale price, you will have to multiply 60% with the regular price:

[tex] \frac{60}{100} \times 95 = 57[/tex]

The equation - 2 (x + 1) = (y – 5)^2 is represented by which graph?

Answers

Answer:

B

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

edge

Solve for x: 5(x + 3) = 4(x - 3)
-18
-27
-3
-6
please help me im actually having a mental breakdown over this stuff​

Answers

Answer:

x=27

Step-by-step explanation:

It's gonna be okay! Just breathe!

You got this I believe in you!!

Julio is running in a 13.1-mile race. There are water stops every 2.75 miles along the route from the beginning of the race.
What is the distance between the last water stop and the end of the race? Enter your answer in the box.

Answers

Answer:

The distance between the last water shop and the end of the race is 2.1 miles

Step-by-step explanation:

Keep on adding 2.75 until you get the number 11 or you can just multiply 2.75 by 4 and get 11. Subtract 11 from 13.1 and you will get 2.1 miles.

I hope this helps

If the average grade of an English class rose from 70 to 80 what is the approximate percent increase

Answers

Answer:

10

Step-by-step explanation:

I NEED HELP WITH 3 MORE PROBLEMS
30 POINTS
Questions 2,3,4

Answers

Step-by-step explanation:

let, width= x

then length= x+5

if both are increased by 5 feet then

new width =x+5

and length = x+5+5=x+10

therefore

area =(x+5)×(x+10)

next are same as first one.Have a try.

Step-by-step explanation:

answer see in attachment

To estimate a number less than 5 we we should Round down for example 44 then 4 is less than 5 so it's estimated number is 40

Please help me and make sure to round the answers to the nearest hundred. I’ll give you brainiest!


Thanks!!!!:)))))

Answers

Answer:

24.4

Step-by-step explanation:

Now please give me  Brainiest.

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