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

can anyone help me plz

Answers

Answer:

x = 24

Step-by-step explanation:

x/4 + 10 =16

      -10    -10

x/4 = 6

*4     *4

x=24

hope this helps! :)

A bouncy ball is dropped such that the height of its first bounce is 2.75 feet and each successive bounce is 80% of the previous bounce's height. What would be the height of the 12th bounce of the ball? Round to the nearest tenth (if necessary).

Answers

Answer:

0.3 feet

Step-by-step explanation:

2.75(0.8)^x

in which x is the number of bounces after the firts bouce

bouce 12 would mean x=11

2.75(0.8)^11 = 0.2

Two similar triangles are shown on the coordinate grid:

A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A triangle ABC is shown with vertex A on ordered pair negative 2, negative 1, vertex B on ordered pair 0, 0, and vertex C on ordered pair 1, negative 3. A triangle A prime B prime C prime is also shown with vertex A prime on ordered pair negative 4, 2 , vertex B prime on ordered pair 0, 0 and vertex C prime on ordered pair 2, 6.
Which set of transformations has been performed on triangle ABC to form triangle A′B′C′? (5 points)

Dilation by a scale factor of 4 followed by reflection about the x-axis
Dilation by a scale factor of 2 followed by reflection about the x-axis
Dilation by a scale factor of 4 followed by reflection about the y-axis
Dilation by a scale factor of 2 followed by reflection about the y-axis

Answers

The set of transformation is: (b) dilation by a scale factor of 2 followed by reflection about the x-axis

The coordinates of the triangles are given as:

Triangle ABC

[tex]A =(-2, -1)\\[/tex]

[tex]B =(0, 0)[/tex]

[tex]C =(1, -3)[/tex]

Triangle A'B'C'

[tex]A' = (-4, 2)[/tex]

[tex]B '=(0, 0)[/tex]

[tex]C '=(2, 6)[/tex]

Start by dilating triangle ABC by a scale factor of 2.

The rule of this transformation is [tex](x,y) \to (2x,2y)[/tex]

So, we have:

[tex]A' =(-4,-2)[/tex]

[tex]B' =(0,0)[/tex]

[tex]C' = (2,-6)[/tex]

Next, we reflect the triangle across the x-axis.

The rule of this transformation is [tex](x,y) \to (x,-y)[/tex]

So, we have:

[tex]A' = (-4, 2)[/tex]

[tex]B '=(0, 0)[/tex]

[tex]C '=(2, 6)[/tex]

Hence, the set of transformation is: (b) dilation by a scale factor of 2 followed by reflection about the x-axis

Read more about transformation at:

https://brainly.com/question/4057530

please help I’ll give 60 points

Answers

1/4 = 3/12

5/12 = 5/12

1/4 + 5/12 = 8/12 = 2/3

Answer:

See image

Step-by-step explanation:

You need to use a common denominator in order to add fractions. The first fraction can be changed by multiplying by 3/3. The second fraction remains the same. The sum in the third line uses the two fractions with common denominators (both now have a 12 on the bottom). 8/12 can be reduced by dividing 8 and 12 by 4 to get 2/3 see image

6c = 2p – 10. write the equation in function notation, where c is the independent variable.

Answers

Answer:

  p(c) = 3c +5

Step-by-step explanation:

Effectively, you want to solve for p.

  6c = 2p -10

  6c +10 = 2p

  3c +5 = p

  p(c) = 3c +5 . . . . function notation (p is a function of c)

Which is the best estimate of StartRoot 0. 96 EndRoot to the nearest hundredth? 0. 96 0. 97 0. 98 1. 0.

Answers

The best estimate for [tex]\sqrt{0.96}[/tex] is 0.98. The correct option is C. 0.98.

Given expression is [tex]\sqrt{0.96}[/tex].

We have to estimate the nearest hundredth value of [tex]\sqrt{0.96}[/tex].

Now we have to first calculate the square root of 0.96 after that we can estimate the nearest hundredth value of it.

For calculating the square root of 0.96 we have various method, but here we use the 'Babylonian Method' to get the square root of any positive number.

We must set an error for the final result.

Say, smaller than 0.01. In other words we will try to find the square root value with at least 1 correct decimal places.

Babylonian MethodStep 1:

Divide the number (0.96) by 2 to get the first guess for the square root . First guess will be [tex]\frac{0.96}{2} =0.48[/tex]

Step 2:

Divide 0.96 by the previous result, [tex]\frac{0.96}{0.48} = 2.[/tex]

Average the value of step 2) with that of step 1:

[tex]\frac{0+0.48}{2} = 1.24[/tex] (new guess).

Now,

[tex]error= new\ guess-previous \ value[/tex]

[tex]error= 1.24-0.48\\error=0.76[/tex]

0.76 > 0.01.

As error > accuracy, we repeat this step again.

Step 3:

Divide 0.96 by the previous result.

[tex]\frac{0.96}{1.24} =0.7741935484[/tex]

Average the above value with that of step 2:

[tex]\frac{(0.7741935484 + 1.24)}{2} = 1.0070967742\ (new \ guess).[/tex]

[tex]Error = new \ guess - previous \ value \\Error=1.24-1.0070967742\\Error= 0.2329032258[/tex]

0.2329032258 > 0.01.

As error > accuracy, we repeat this step again.

Step 4:

Divide 0.96 by the previous result.

[tex]\frac{0.96}{1.0070967742} = 0.9532351057.[/tex]

Average the above value with that of step 3:

[tex]\frac{(0.9532351057 + 1.0070967742)}{2} = 0.98016594\ (new\ guess).[/tex] [tex]Error = 1.0070967742 - 0.98016594 \\Error= 0.0269308342.[/tex]

0.0269308342 > 0.01.

As error > accuracy, we repeat the step again.

Step 5:

Divide 0.96 by the previous result.

[tex]\frac{0.96}{0.98016594} = 0.9794259939.[/tex]

Average the above value with that of step 4:

[tex])\frac{(0.9794259939 + 0.98016594)}{2} = 0.979795967 (\ new \ guess).[/tex] [tex]Error = 0.98016594 - 0.979795967\\Error = 0.000369973.[/tex]

0.000369973 < 0.01.

As error < accuracy, we stop the iterations and use 0.979795967 as the square root of 0.96.

So, we can say that the square root of 0.96 is 0.979 with an error smaller than 0.01 (in fact the error is 0.000369973). this means that the first 3 decimal places are correct.

Since the value of the right side from the hundredth place is greater than 4 so for rounding off we add 1 to the hundredth place.

So the nearest hundredth value of [tex]\sqrt{0.96}[/tex] is 0.98.

Hence the correct option is C. 0.98.

For more details on square root follow the link:

https://brainly.com/question/1527773

What is the solution set for the given inequality if the replacement set for r is {5, 6, 7, 8, 9, 10}? 16-r> 8

Answers

Answer:

  {5, 6, 7}

Step-by-step explanation:

The solution to the inequality is ...

  16 -r > 8 . . . . . given

  16 -8 > r . . . . . add r-8

  8 > r . . . . . . . simplify

The values in the replacement set that are less than 8 are {5, 6, 7}.

FACTORIZE :-
3x³y( x-3y ) - 7x²y² ( x-3y )​

Answers

3x³y(x - 3y) - 7x²y² (x - 3y)= (x - 3y)(3x³y - 7x²y²)= (x - 3y)[x²y(3x - 7)]= x²y(3x - 7)(x - 3y)

Answer:

x²y(3x - 7)(x - 3y)

Hope you could get an idea from here.

Doubt clarification - use comment section.

Shirt Circuit Graphic Tees has fixed expenses of $25,560 for the production of their
t-shirts. They have a variable expense of $4.50 for each t-shirt that they
produce, and they sell their t-shirts for $22.50 each.
How many t-shirts does Shirt Circuit Graphic Tees have to sell to reach their
breakeven point?

Answers

Answer:

Step-by-step explanation:

Cost price = fixed expenses + variable expenses× number of products (x)

Selling price = total cost price + profit

At break even point,

Profit = 0

Therefore, total selling price = total cost price

X(22.50)= 25560 + x(4.50)

(22.50 - 4.50)x = 25560

18x= 25560

X = 1420

I need help lololololololololololololololol

Answers

Answer:

bestie so do i

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

Twelve is sixteen less than four times a number.

Answers

4x-16=12 is the equation
To solve it add 16 to both sides
4x=28
Then divide by 4
X=7

some one plz help!!! due in 10 min

Answers

Step-by-step explanation:

since f'(x) = 2f(x) and f(3) has no term of x (so, there must be a constant that eliminates x for x = 3), we get

f(x) = x²/9 × c

c = m×e^n

f(1) = 1/9 × m×e^n = 5

=> m×e^n = 45

f(3) = 9/9 × m×e^n = 45

m = 45

n = 0

Lena was playing a card game. She placed the cards in 2 rows of 26 cards each. In which other way can Lena place all of the cards?

Answers

Answer:

4 raws of 13 each

Step-by-step explanation:

The total number of cards =2×26=52we can divide 52 by 4 which is 13

Given g(r) = 3 – 8r, find g (–3).

Answers

Answer: R = 3/5

Step-by-step explanation:

i think

PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS

Answers

Answer: y= (1/4)x

Step-by-step explanation: Best guess given screenshot, matched with desmos.

8 less than the sum of u and 2

Answers

Answer:

(u+2)-8

Step-by-step explanation:

sum is addition, less than is subtraction

How do I find a solution in an equation

Answers

Answer:

How to find a solution in an equation:

(1) Substitute the number for the variable in your equation,

(2) Simplify the expressions on both sides of your equation and

(3) Determine whether the resulting equation is true. If it is true, the number is a solution. If it is not true, the number is not a solution.

Step-by-step explanation:

If any questions, please ask them below.

If you have no questions, please have a great rest of your day/night!

We have 4 ways of solving one-step equations: Adding, Substracting, multiplication and division. If we add the same number to both sides of an equation, both sides will remain equal. If we subtract the same number from both sides of an equation, both sides will remain equal.

EASY 25 POINTS

IF YOU GET IT WRONG I WILL NOT MARK BRAINLYEST

Answers

Answer: minimum: free

maximum: infinite

write 2³ in simplified form​

Answers

Answer:

8

Step-by-step explanation:

2^1 = 2×1 = 2

2^2= 2×2= 4

2^3= 2×2×2= 8

The answer is: 8
The 3 will represent how many times you need to multiple 2.
Example: 2x2x2=
First multiple 2x2=4
Then multiple 4x2= 8

It is 8 a.m. and the animals are waking up. In exactly 5 minutes. Sarah will chirp. Sarah will then chirp every 5 minutes until 10 a.m.! To make matters worse, in exactly 13 minutes, Alex will chirp. Alex will then chirp every 13 minutes until 10 a.m.! How many times will both of them be making noise at exactly the same time? Explain how you solved it

Answers

Answer:

Once.

Step-by-step explanation:

To find when they chirp together, we must find the LCM of the two numbers. The LCM, or least common multiple of 13 and 5 is 65. Therefore, after 65 minutes is the first time they chirp together. Then we can multiply 65 by 2 to see if they chirp a second time. 65x2 is 130, but 8AM-10AM is only 120 minutes, therefore they do not chirp together more than 1 time.

what the top guy said was right

hoped that helped:P

hat equation represents this sentence?


7 less than a number is 16.



7−n=16


n−7=16


7=16−n

like you cut g

7=n−16

Answers

Answer:

2nd option

Step-by-step explanation:

let the number be n then 7 less than this number is n - 7 , so

n - 7 = 16

Enter a number in the box so that the equation will have no solution.

Answers

Answer:

156

Step-by-step explanation:

Find the gradient of the line segment between the points (-6,2) and (4,10).
Give your answer in its simplest form.

Answers

Answer:

3

Step-by-step explanation:

gradient/slope/m formula:-

(-6,2) (4,10).

m=(10-4)/(-4-6)

m=6/2

m=3

The answer is 4/5. Use the gradient formula y2-y1/x2-x1

what are dependent and independent variables in a function

Answers

Answer:

An independent variable is a variable that represents a quantity that is being manipulated in an experiment. ... In the context of a function, the independent variables are the inputs to the function and the dependent variables are the outputs of the function.

can yallll help pls . ………

Answers

Step-by-step explanation:

so, what is the problem with the first one ?

you only need to put the specified values into the places of the variables and then simply calculate :

2×-5 + 8×6 = -10 + 48 = 38

that is how expressions, equations and functions work.

for the second, I am counting only the squares with their clear "majority" inside the line. any small parts of squares I ignore.

so,

first row : 3

second row : 5

third row : 5

fourth row : 6

fifth row : 7

sixth row : 7

seventh row : 4

eighth row : 2

total : 39

The African elephant can weigh eight tons. A ton is two thousand
pounds. How many pounds can an African elephant weigh?

Answers

If
1 ton = 2,000 points

8 tons = (2,000) 8 pounds

= 16,000 pounds

Hope you find this helpful!
Brainliest and a like is much appreciated!

PLEASE HELP!!!!
ILL MARK AS BRAINIEST!!!!
ANSWER HOW MUCH U CAN!!!

Answers

Answer:

1) C

2) B

3) D

4) A

5) B

Step-by-step explanation:

Hope this helps

MAy I get braineist pls???????????

Answer:

MARK ME AS BRAINLIEST!!!

Step-by-step explanation:

1. A

2. B

3. D

4. A

5. B

HAVE A NICE DAY!!!

:)

PLEASE ANSWER ASAP!! WORTH 20 POINTS

A cab company charges a $4 boarding rate in addition to its meter which is $1.50 for every mile. Write a linear equation which models this. Use the equation to determine the total fare for a trip that is 2 miles, 3 miles and 5 miles.

Answers

Answer:

y = 1.50x+4

if x = 2

y = 7

if x = 3

y = 8.5

if x = 5

y = 11.5

Step-by-step explanation:

every mile(x) add 1.50 dollars to 4 dollars

Angelo has to pack 7 books in boxes he can pack 7 books in each box how many boxes are need to pack all the books

Answers

1 box?

I'm confused whether you made a mistake writing the question or of this is what the actual question is like.

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