How do you factor x³-9?

Answers

Answer 1

Answer:

(x² + 3)(x-3)

Step-by-step explanation:

Since the exponent is uneven you can take 2 and 1 and add them to the x's multiply to get 3 and since 9 is a perfect square you can square root it and get 3 which you put on both sides. Since the 9 is negative one of the symbols have to be negative, usually put in the second parenthesis.

Hope this helps!

Answer 2
Remember SOAP. Same, opposite, always positive.
(X-3)(x^2+3x+9)
The formula is (a+b)(a^2+ab+b^2) but the pluses and minuses follow SOAP

Related Questions

What’s the answer?? I need asap!

Answers

Answer:

120°

Step-by-step explanation:

Opposite angles in a cross of 2 lines like this are equal;

A = 120 and B = D = 60°

Answer:

∠ A = 120°

Step-by-step explanation:

∠ A and 120° are vertically opposite angles and are congruent , so

∠ A = 120°

can someone please help me with this, thank you (picture attached)

Answers

Answer:

I can help you with it

Step-by-step explanation:

Will someone like please help me on my math ;(
What is the recursive formula for this sequence?
10, 14, 18, 22, 26....?!!?!

Answers

Answer:

option A

Step-by-step explanation:

The given Series:

10,14,18,22,26... is an Arithmetic Progression.

Concept:

The difference between consecutive numbers always remains the same.

For instance:

14 - 10 = 18 - 14 = 22 - 18 = 4

This difference is known as the common difference.

In an A.P., the nth (an) term of a series can be found out by:

[tex] \boxed{ \sf{a _{n} = a + (n - 1)d}}[/tex]

Here,

an is the nth terma is the first term of the series = 10n is the number of termsd is the common difference = 4

[Don't get confused by (n- 1), it's simply the number of terms - 1. If the number of terms, somehow, is (n - 1) itself, your formula will be an = a + ((n - 1) -1)d]

Soltution:

The first term of the given Series is 10.

==> a1 = 10

Finding an:

the nth term will be:

an = 10 + (n - 1)4

==> 10 + 4n - 4

==> 6 + 4n

Strategy:

All the given options have an and a(n-1). So we have to deduce a relation between an and a(n- 1).

Finding a(n-1):

==> a(n-1) = 10 + ((n - 1) -1)4

= 10 + (n- 2)4

= 10 + 4n - 8

= 4n + 2

Subtracting a(n-1) from an:

==> an - a(n-1) = 6 + 4n - (4n + 2)

==> an - a(n-1) = 6 + 4n - 4n - 2

==> an - a(n-1) = 4

==> an = 4 + a(n-1)

Hence, option A is the answer.

Find the solutions to x2 = 24.
A. x = 16.2
X
B. X= 14,6
C. X= +6.14
D. X = +216

Answers

I think it’s c, am not shuree tho

Help pretty please it’s 4:30 rn and I’m trying to get this done

Answers

Answer:

8b is 1.5*10^4=1.5*10000=15000

9. is 100*1.1=110meters to 100 yards

Hope This Helps!!!

Answer:

91

Step-by-step explanation:

Help me please with this!…………………

Answers

Answer:

x = 2

Step-by-step explanation:

The two angles are congruent because they are alternative interior angles.

9x + 4 = 3x + 16

9x - 3x + 4 = 3x - 3x + 16

6x + 4 = 16

6x + 4 - 4 = 16 - 4

6x = 12

x = 2

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After a power fallure, the temperature in a freezer increasettat an average rate of 3.5°F per hour. The total
Increase was 17.5°F. Enter and solve an equation to find the number of hours until the power was
restored. Let x represent the number of hours it takes for the temperature to increase to 17.5°F.
Step-by-step
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The equation to find the number of hours until the power was restored is
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is
hours
Turn it in
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✓ Check Answer

Answers

Answer:

a b c d e f g h i j k l m n o p q r s t u v w x y z

Step-by-step explanation:

yoooooooooooooooooooooooooooo

box and whisker plots please help!

Answers

The correct answer is D. 100%
Each tick counts as 8 so the beginning of the plot would be at 28 which is only 2 from 30 and everything else is on the plot is greater than 30 so the answer would have to be D since 75% would be too little coverage of the plot

I don't understand raitos please help solve math problems

Answers

1st is to make the numbers into ratios. Basically taking the two numbers and putting them in the middle. I’ll do the 1st 15:36.
Next you put it into a fraction: 15/36
Put in the comments if you want me to do all or if you have any questions!

i don't know the answer to log4(x+6)=2

Answers

Answer:

10

Step-by-step explanation:

log4(x+6)=2

x+6=4²

x=4²-6

x=10

Answer:

[tex]x=10[/tex]

Step-by-step explanation:

[tex]log_4(x+6)=2[/tex]

[tex]4^{log_4(x+6)}=4^2[/tex]

[tex]x+6=16[/tex]

[tex]x=10[/tex]

Remember that logarithmic functions are the inverses of exponential functions. Therefore, we raise the base of the logarithm to the logarithm to undo the operation.

Can someone help me solve this problem? I’m not sure how to solve this type of expression

Answers

Answer:

(2x+3)square+2

Step-by-step explanation:

(2x) square +2 (2x)(3)+(3)square

2x square +12x+9

I think so.

pls give me brainliest

merry christmas! my teachers gave me work. ill be happy if u help

Answers

heyy merry christmas !
area of a triangle = base * height : 2
4 * 5 = 20 : 2 = 10
10 * 12triangles = 120cm^3

X + y = 3
X + y = -3

Answers

Answer:

no solution hsjsjsjsjsjsjsnsnwnsnsnsnskwk

no solution. hope this helped :)

BRO SOMEONE PLSS HELP ME

Write the inequality that represents the possible values for x

Answers

Answer:

6x + 12 < 10

Step-by-step explanation:

The side 10 is greater than 6x+12

Casey's grandmother sent her an $80 bookstore gift card for her birthday last year. This year, she sent her a $110 bookstore gift card. Which proportion can be used to find the percent of last year's gift that this year's gift is, if n represents the unknown percent?
A 100/110 = 80/n
B 80/110 = n/100
C 110/80 = n/100
D 101/100 = 80/n

Answers

The answer is to this question is B

consider the equation n=2/5m-30 for what value of m is n equal to 50?

Answers

Answer:

m = 200

Step-by-step explanation:

Substitute n = 50 in the equation

         n = 2/5m - 30

       50 = 2/5m - 30

50 + 30 = 2/5m

       80 = 2/5m

         m = 80 ÷ 2/5

         m = 200

Triangle BAD is a rotation of triangle DCB around point E by 180 degrees.





Which angle is congruent to angle DBA?


A. BCD

B. CBD

C. DBC

D. BDC

Answers

Taking point Z as the origin, the coordinates of the points on ΔBAD are

given by changing the sign of the coordinates of points in ΔDCB.

The angle that is congruent to ∠DBA is; D. ∠BDC

Reasons:

The given parameters are;

Triangle ΔBAD is the image of ΔDCB following a rotation of 180°.

Required:

The angle congruent to ∠DBA.

Solution:

Given that the rotation of triangle DCB is 180°, we have that the

coordinates of a point (x, y) in ΔDCB is (-x, -y) in ΔDBA.

Therefore, side DC is parallel to side AB

Which gives;

∠DBA is congruent to ∠BDC by alternate interior angles theorem.

∠DBA ∠BDC

The angle that is congruent to ∠DBA is; option D. ∠BDC

Learn more about rotation transformation here:

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Over six months, a family's electric bills averaged $55 per month. The bills for
the first five months were $57.60, $60, $53.25, $50.75, and $54.05. What was
the electric bill in the sixth month? Find the median, mode, and range of the
six electric bills.

Answers

Answer:

$54.35

Step-by-step explanation:

The differences from the average value are;

2.60, 5.00, -1.75, -4.25, -0.95
The total of these differences is +0.65, so the final bill must have a value that is $0.65 lower than the average.

The bill for the 6th month is $54.35.
_____
Check
The average of the bills for 6 months is;

(57.60 +60 +53.25 +50.75 +54.05 +54.35)/6 = 330/6 = 55

On September 1, you own 12.5 shares of stock that are worth $149.87. On
December 1, the shares are worth $94.87. What was the change in the price per
share of stock?

Answers

Divide $149.87 by 3 which = $49.95
From September 1 to December 1 is three months apart so meaning the price dropped $49.95 for the months of Oct to Dec.

The required change in the price of the share of stock is $4.4.

Given that,
On September 1, you own 12.5 shares of stock that are worth $149.87. On December 1, the shares are worth $94.87, and the change in the price per share of stock is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Initial total cost shares of stock = $149.87
A total number of shares = 12.5
The initial cost of single share = 149.87/ 12.5 = $11.98
Now final cost of the total share = $94.87
The final cost of the single share is = 94.87 / 12.5 = $7.58
Change in price of shares of stock = 11.98 - 7.58 = $4.4

Thus, the required change in the price of the share of stock is $4.4.

Learn more about simplification here: https://brainly.com/question/12501526

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PLS SOMEONE HELP I WILL GIVE U 28 POINT

Answers

Answer:

z=37

x=105

y=68?

Step-by-step explanation:

Leave a brainliest if this helped!

Joseph is going to paint the panels of a fence. He is going to use the same repeating pattern for the entire fence. The rule is "orange, yellow, pink, green, purple." If there are 98 panels in the fence, how many will be painted green?

Answers

Answer:

19 panels are painted green

Step-by-step explanation:

95/5=19 and because there are 3 colors before green again we don't have to worry about the other 3 panels

if I’m wrong, I’m sorry. If I’m right, mark me brainlest!

: Use ratio language to describe the relationship of any two things you can think of. Example: For every 5 minutes of jogging, I ran 500 yards. Be creative and come up with your own idea.

Answers

For every 5 minutes of jogging, I ran 500 yards

To Find : Use ratio language to describe the relationship of any two things

Determine the unit rate

Solution:

every 5 minutes of jogging, I ran 500 yards

=> 500/5 = 100 yards/ minute

For every 20 minutes ,  I can type 1000 words in

unit rate = 1000/20  = 50 words per minute

For every 1 hr (60 minutes)  I can solve 10 Questions

unit rate = 10/60     = 1/6 Question per minute  

For every 10 minutes , i can read 5 pages

unit rate = 5/10   = 1/2 pages per minute

Learn More:

Selma uses a jogging trail that runs through a park near her home ...

brainly.in/question/21297587

Keith is saving money for a car. He has saved the same amount ...

brainly.in/question/14056417

there were 8000 people at a festival. people bought their tickets online, by phone, or in person.based on a random sample of people at the festival, 60% bought their tickets online, 15% bought their tickets by phone, and the rest bought their tickets in person

Answers

Answer:

People who bought tickets = 100%

                                             = 8000

People who bought their tickets in person = (100%-60%-15%) × 8000

                                                                       = 2000

The number of tickets sold online is 4800, by phone is 1200, and in person is 2000.

What is the percentage?

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that there were 8000 people at the festival. people bought their tickets online, by phone, or in person. based on a random sample of people at the festival, 60% bought their tickets online, and 15% bought their tickets by phone.

The number of the tickets will be calculated as below:-

Total tickets = 8000

Online tickets = 60% of 8000 = 8000 x 0.6 = 4800

By phone = 15% of 8000 = 8000 x 0.15 = 1200

In-person = 25% x 8000 = 0.25 x 89000 = 2000

Therefore, the number of tickets sold online is 4800, by phone is 1200, and in person is 2000.

To know more about percentages follow

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309,303,297 find the 33rd term

Answers

Answer:

111

Step-by-step explanation:

multiply 33 by 6 because 6 is being subtracted every time and then subtract 198 from 309

Answer:

117

Step-by-step explanation:

Hope this helps!

2. What is the x-intercept for the equation -2x + 5y = -10?

Answers

Answer:

Step-by-step explanation:

X intercept occurs when y = 0

-2x + 5(0) = -10

x = -10/-2

x = 5

Logan spent $42 to buy 4 basketballs. What was the price per basketball

Answers

Answer:

$10.5

Step-by-step explanation:

$42 for 4 basketballs

price of 1 basketball = 42/4

42/4 = 10.5

-Chetan K

Answer:

10.5 dollars

Step-by-step explanation:

42÷4=10.5

Solve the system of equations -x+ 2y = –11 and 5x – 8y = 39 by
combining the equations.

Answers

Answer:

x=-5, y=-8. (-5, -8).

Step-by-step explanation:

-x+2y=-11

5x-8y=39

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

5(-x+2y)=5(-11)

5x-8y=39

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

-5x+10y=-55

5x-8y=39

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

2y=-16

y=-16/2

y=-8

-x+2(-8)=-11

-x-16=-11

-x=-11+16

-x=5

x=-5

Felicia jumped 14 times every 28 minutes. At that rate, how many would she jump in 8 minutes?

Answers

She can jump 4 times in 8 minutes

The high school soccer booster club sells tickets to the varsity matches for $4 for students and $8
for adults. The booster club hopes to earn $200 at each match. Let x be the number of student
tickets and y be the number of adult tickets.
List some of the possible combinations of number of tickets they can sell to make $200.

Answers

Set up an equation:

4x + 8y = 200

200/4 = 50

200/8 = 25

They callus sell 50 student tickets and 0 adult tickets

They could sell 0 student tickets and 25 adult tickets.

They could sell 10 student tickets and 20 adult tickets

They could sell 10 adult tickets and 30 student tickets

Read the word problem below.

Chan rows at a rate of eight miles per hour in still water. On Wednesday, it takes him three hours to row upstream from his house to the park. He rows back home, and it takes him two hours. What is the speed of the current?

Answers

Answer:

1 3/5 miles/hr

Step-by-step explanation:

Let C be the speed of the current

Let D be the distance between Chan's house and the park

We know that Distance, D, is = Speed x Time

-----

Chan's speed going upstream is (8 - C)mph.

That gives us:

D = (8-C)(3 hr)

Chan's speed going downstream is (8+C)mph

So we have:

D = (8+C)(2 hr)

We know that the d is the same for these two equations, so:

(8-C)(3 hr)  = (8+C)(2 hr)

24 - 3C = 16 + 2C

5C = 8

C = (8/5) or 1 3/5 mph

Answer:

  1.6 mph

Step-by-step explanation:

Distance, speed, and time are related by ...

  distance = speed × time

We assume that the distances up and back are the same, so for a current speed of c, we have ...

  3(8 -c) = 2(8 +c)

  24 -3c = 16 +2c . . . eliminate parentheses

  8 = 5c . . . . . . . . . . add 3c-16 to both sides

  c = 8/5 = 1.6 . . . . . divide by 5

The speed of the current is 1.6 miles per hour.

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