how do you Factor in algebra 2?

for example:
r^2-r-20
and
x^2+8x+12

Answers

Answer 1

(r-5)(r+4)

(x+6)(x+2)

Step-by-step explanation:

1 r^2 - 1 r - 20

multiply the first and third terms

-20 times 1 equals -20. take the -1

*what are two numbers that multiply together that equals -20 but add to equal -1?

-5 times 4 equals -20

-5 plus 4 equals -1

(r-5)(r+4)

1 x^2 + 8 x + 12

multiply the first and third terms

12 times 1 equals 12. take the 8

*what are two numbers that multiply together that equals 12 but add to equal 8?

6 times 2 equals 12

6 plus 2 equals 8

=(x+6)(x+2)


Related Questions

For some reason, in our history class, there are 14 more boys than there are girls. If a total 32 students are in the class, how many boys and how many girls are there

Answers

Answer:

We can assume X is the number of girl, so the number of boy should be X+6.

 

Based on question, we can get X+X+6=32

2X+6=32

2X=26

X=13

So the answer is, 13 girls are in the class.

Step-by-step explanation:


can Yhu help me plzzz!!!!

Answers

Answer:

f^-1 (x) =7 − 21x

Step-by-step explanation:

Hope this helps!

Plz give brainliest

I need Your help plish​

Answers

Answer:

5

Step-by-step explanation:

Because there is zones

HELP ITS MATH AND I SUCK AT MATH WILL GIVE BRAINLIEST :)))))

Answers

Answer:

i believe it's A. f(x) slope is greater than g(x) slope

Step-by-step explanation:

the slope of f(x) is -2, while g(x) is -6. you may think "why isn't -6? 6 is bigger, isn't it?" In this case, they're both negative so the number closer to zero is the greater one

Answer:

A

Step-by-step explanation:

There are 12 students in the gym class. If 4 students can sit on 1 bench, how many benches are needed for all students ?

Answers

Answer:

3 benches needed

Step-by-step explanation:

Answer:

3 benches

Step-by-step explanation:

4 people to one bench

12 people divided by 4 = 3 benches

Rewrite the equation in proper standard form equation 1/4x- 3/4y = -3

Answers

it’s is in standard form...

Please help, will mark brainliest for the correct answer

Answers

Answer:

C. 23/21

Step-by-step explanation:

Your answer is c 23/21
Please mark brainliest

write an Equation that represents the lines

Answers

Answer: The answer is Y=3/4x -4.5

Step-by-step explanation: You can find the slope by unsing rise over run by using the points given, you go up 3 and go to the side 4 times to get to the other point. You use tose 2 numbers and put them into a fraction you put it like this(The amount you went up/ the amount you went to the side) the you find where you cross the y-intercept which is 4.5 the you plug it into the point slope formula which is Y=3/4x -4.5

Four out of nine dogs weigh less than 20 pounds.
What is the decimal equivalent for the number of dogs weighing less than 20 pounds

Answers

Answer:

.44 repeating would be your decimal of dogs that weigh under 20 pounds.

Step-by-step explanation:

Answer:

.44

Step-by-step explanation:

What is 7/8 x 4/5 divided by 7/20

Answers

Answer: 2

Step-by-step explanation: First, multiply 7/8 by 4/5 which equals to 7/10. Then, divide 7/10 by 7/20. Finally, you should end up with a result of 2.

4/10 would be your answer to your question

His supplies cost him $3.25 for a pitcher of lemonade. To make a profit, Ryan will apply a 68% markup. Which is the amount of markup Ryan will add?
helpp

Answers

Answer: 212.50%

Step-by-step explanation:

Carlos buys a box of frozen flavored ice sticks. 2/5 of the ice sticks are blue raspberry. Of the remaining ice sticks, 1/3 are grape, and the rest are cherry. If there are 48 blue raspberry and cherry flavored ice sticks altogether, how many ice sticks total are in the box?

Answers

Given:

[tex]\dfrac{2}{5}[/tex] of the ice sticks are blue raspberry.

Of the remaining ice sticks, [tex]\dfrac{1}{3}[/tex] are grape, and the rest are cherry.

There are 48 blue raspberry and cherry flavored ice sticks altogether.

To find:

The total number of ice sticks.

Solution:

Let x be the total number of ice sticks.

[tex]\dfrac{2}{5}[/tex] of the ice sticks are blue raspberry.

Blue raspberry [tex]=\dfrac{2}{5}x[/tex]

Remaining raspberry [tex]=x-\dfrac{2}{5}x[/tex]

                                   [tex]=\dfrac{3}{5}x[/tex]

Of the remaining ice sticks, [tex]\dfrac{1}{3}[/tex] are grape, and the rest are cherry.

Grape [tex]=\dfrac{1}{3}\times \dfrac{3}{5}x[/tex]

          [tex]=\dfrac{1}{5}x[/tex]

Cherry [tex]=\dfrac{3}{5}x-\dfrac{1}{5}x[/tex]

           [tex]=\dfrac{2}{5}x[/tex]

There are 48 blue raspberry and cherry flavored ice sticks altogether.

[tex]\dfrac{2}{5}x+\dfrac{2}{5}x=48[/tex]

[tex]\dfrac{4}{5}x=48[/tex]

[tex]x=48\times \dfrac{5}{4}[/tex]

[tex]x=60[/tex]

Therefore, the total number of ice sticks is 60.


Riley buys a swim pass for the pool in January. The first month costs $30. Each month after that, the cost is $20 per month.

Write the equation for finding the total cost of
a one-year swim pass.

Answers

Answer:

you pay 240 dollars a year

Step-by-step explanation:

y=20x

x is 12

20*12=

240

Answer: $250

Step-by-step explanation:

A 4-pack of museum tickets costs $30.28. What is the unit price?

Answers

Answer:

7.57

Step-by-step explanation:

30.28/4 = 7/57

What is an equation that is equivalent to -3/4x+1/8=-3/8?

Also the / is not a division symbol. The numbers with a / are fractions.

Answers

Hope this helps! Follow my Instagram trlamb822!

HELPP!!! I need help!

Answers

Answer: c.

Step-by-step explanation:

x^2 + 2x - 5 - (x - 3)

distribute the negative

x^2 + 2x - 5 - x + 3

combine like terms

x^2 + x - 2

Answer:

B

Step-by-step explanation:

You start by Figuring out the answer to each side of the equation by using PEMDAS (parenathes,exponets, mutiplacation, division,addition and subtractoin). then you add your varribles and exponets. Then simplify.

A washer and a dryer cost combined $664 The washer costs $36 less than the dryer. What is the cost of the dryer?

Answers

Answer: 350?

Step-by-step explanation:

664-36=628

628 divided by 2= 314 (cost of the washer)

314+36= 350

Hope this helps!

Please Help Me :(((((( I Really Dont Know How TO Do This :(((((((
which explicit formula describes the sequence −9, −3, 3, 9, 15, …?
Group of answer choices

an = 9n + 6

an = 6n + 15

an = 6n - 15

an = 9n – 6

Answers

Answer:  an = 6n - 15   (Choice C)

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

Explanation:

This sequence is arithmetic

The first term is a = -9

The common difference is d = 6 since we're adding 6 to each term to get the next one (eg: -3+6 = 3 or 3+6 = 9 or 9+6 = 15)

Plug those values into the arithmetic nth term formula below

an = a + d*(n-1)

an = -9 + 6*(n-1)

an = -9 + 6n-6

an = 6n - 15

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

As a check, let's plug in something like n = 1

an = 6n - 15

a1 = 6*1 - 15

a1 = 6 - 15

a1 = -9

We see that the 1st term is -9, which matches the sequence given

Now let's plug in n = 2

an = 6n - 15

a2 = 6*2 - 15

a2 = 12 - 15

a2 = -3

The 2nd term is -3. This also matches.

I'll let you check the other values of n to confirm the answer.

please help this is very urgent!!! :((((

Answers

Answer:

7

Step-by-step explanation:

x = 2

3x/2+4

3(2)/2 + 4

3+4

7

7 is the correct answer

helpp ill mark u as brainlist​

Answers

Answer:

Assuming you want slope formula for this, it's y= (5/9)x -1

I do not understand this ​

Answers

Answer:

It would be C. The hexagon.

Answer:It would be C because you have 3 sides for the triangle than 4 sides for the rectangle, 5 sides for the pentagon, and 6 sides for the hexagon

Step-by-step explanation:

The product of a number and is 3 Find the number.
Your answer​

Answers

the product of

-3 and -11/9 is 3(2/3)

Evaluate the equation for the indicated value, f(n)=5n+8 for f(4),

Answers

you would need to put 4 in for (n)so, 5(4)+8 then solve. 5 times 4=20 plus 8 is 28. I hope I could help!

The value of the function f(n)=5n+8 for f(4) will be 28.

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given function is f(n)=5n+8. The value of the function at equal to 4 will be calculated as below:-

f(n)=5n+8

f(4) = ( 5 x 4 + 8 )

f(4) = 20 + 8

f(4) = 28

Therefore, the value of the function f(n)=5n+8 for f(4) will be 28.

To know more about functions follow

https://brainly.com/question/17043948

#SPJ2

Please answer. Which is the graph of the solutions.

Answers

Answer:

x < -8, third from top option in the picture.

Step-by-step explanation:

5(2x - 4) < -100

10x - 20 < -100

10x < -80

x < -8

Answer:

3rd option from the top (open circle arrow going left)

Step-by-step explanation:

5(2x-4) is less than - 100

5 times 2x is 10x and 5 times - 4 is - 20 so,

10x - 20 is less than - 100

now do inverse operations to isolate x, add 20

- 20 plus 20 is 0 and -100 plus 20 is - 80

10x is less than -80

divide both sides by 10 and you get,

x is less than - 8

Five times the sum of a number n and seven
Hint- you need parenthesis

Answers

5(n + 7) is the equation

The equation of the problem is [tex]5(n+7)[/tex]

The sentence is asking 5 times the sum of n+7, so you are multiplying (n+7) by 5.

Part C: Create a graph that represents the solutions to the equation from Part A

Answers

Answer: Dear friend google

Step-by-step explanation: search it up

3.4 x 10^3 in standard notation

Answers

Answer:3400

Step-by-step explanation:

Answer:

3240

Step-by-step explanation:

3.24

×

10

3

=

3.24

×

1000

This means you move the decimal spot 3 digit spaces to the right.

Count 3 spaces:

3.2.4.0 →

3240

So then your number becomes

3240

another way to write 2 5/2×4

Answers

Answer:

4 1/2(4)

Step-by-step explanation:

djjdiebjeidjjexjjebej

What must 111,111,102 be divided by to get 9 as the quotient and 0 as the remainder?

Answers

ANSWER: 12,345,678

EXPLANATION:
we can work backwards by figuring out what 9(the answer) is multiplied by to get 111,111,102 (the starting number) we can do this by dividing by 9:

111,111,102/9 = 12,345,678

so: 9 * 12,345,678 = 111,111,102
which also means

111,111,102/12,345,678 = 9 (with 0 as a remainder)

what is the answer to 9/11 - 4/11

Answers

Answer:

the answer is approximately 0.4545

Step-by-step explanation:

I just searched it on google. i got you my guy

Answer: 5/11

The denominator (bottom number) stays the same when adding or subtracting fractions. In this case, you simply subtract 4 from 9 and get 5, which is your numerator (top number).

So: 9/11 - 4/11 = 5/11

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