expand and simplify (x-2)³

Answers

Answer 1

Step-by-step explanation:

(x-2)³ = (x-2) × (x-2) × (x-2)

(x-2) × (x-2) = x²-2x-2x + 4 = x² -4x + 4

(x² -4x + 4) (x-2) = x³ -2x² -4x² +8x +4x -8

x³ -6x² +12x - 8


Related Questions

May I please receive help?

Answers

Step-by-step explanation:

28^2+x^2=32^2

784+x^2=1024

x^2=240

x=15.49

x=~15.5

Ok done. Thank to me:>

The half life of a radioactive substance is 10 years. If 64 grams are placed in a
container, how much will remain after 50 years?

Answers

Answer:

2 grams

Step-by-step explanation:

50 years is 5 half lives as 1 half life is 10 years.

64 divide 2 = 32-1 half life

32 divide 2 =16-2nd half life

16 divide 2 = 8-3rd half life

8 divide 2 = 4-4th half life

4 divide 2 = 2-5th half life

This means we will have 2 grams left of the radioactive substance after 50 years.

Which answer best describes the system of equations shown in the graph?



A. Consistent and dependent

B. Inconsistent

C. Not enough information

D. Consistent and independent

Thanks.

Answers

Answer:

A. Consistent and dependent

Answer:

D. Consistent and independent

Step-by-step explanation:

A. Consistent and dependent = two lines that overlap with each other so they have infinite solutions (ex. y = 4x and 4y = 16x equal the same thing)

B. Inconsistent = parallel lines that will NEVER meet each other, so no solution (y = 4x and y = 4x + 1 have the same slope so the steepness of the two lines is the same - they will NEVER have at least 1 point intersecting)

C. Not enough information - incorrect because there are two lines on a graph, and that is enough info to solve

D. Consistent and independent = two lines with EXACTLY ONE SOLUTION (ex. y = 4x + 3 and y = 2x + 2 have exactly one point that overlaps)

Pearl is 54 5/6 inches tall. Lucas is 1 1/3 inches shorter than Pearl and Jane is 1 1/4
inches shorter than Lucas. How tall is Jane?

Answers

Answer:

52 1/4

Step-by-step explanation:

help me 20 pts pls and brainliest

Answers

Answer:

elaboration

Step-by-step explanation:

tthe definition of elaboration is the addition of more detail concerning what has already been said. so out of these options, elaboration best fits answers the question

C :Elaboration



To elaborate means to give more clarification about something

i have 9 animals 3 are girls what percent is girls?

Answers

Answer:

33  1/3%

Step-by-step explanation:

Because there are 3 girls and 9 total animals, you do: 3/9, which is 1/3. You divide to find the percent. 1/3=33.333333..... Because you have a repeating decimal, you do 33 and 1/3, because the repeating decimal is .33333.....

100 POINTS + WILL MARK YOU BRAINLY PLEASE HELP

a) Create a scatter plot displaying the data in the table. Be sure to include a linear trend line.


(only answer if you know the answer)​

Answers

Answer:

The scatter plot is in the picture attached

Plzzzz help meeeeee plzzzzz

Answers

Answer:

i need points sorry

Step-by-step explanation:

How is the key event in this paragraph illustrated?

Answers

I think C because it dose seem to be showing sometime of an historical event. But of course I could be wrong.

Casey makes a grape salad using green grapes and red
grapes. She adds 5 green grapes for every 3 red
grapes. What is the ratio of all grapes to green grapes in the
grape salad?

Answers

Answer:

the answer is 8:5

Step-by-step explanation:

A tank is 5 metre long 3 metre wide and 1 m high. how many litre of water can it hold?

Answers

Answer:

15,000 liters

Step-by-step explanation:

First, find the volume in meters. 5*3*1=15 meters

1 meter = 1000 liters

(x15)

15 meters = 15000 liters

Hope this helped :D

Solve the following system: y = x 3 3x y = 19 (7, 4) (â’4, 7) (4, 7) (4, â’7).

Answers

The correct option is C. (4,7).

Given equations,

[tex]y=x+3....(1)\\3x+y=19....(2)[/tex]

We have to solve the equations.

From equation 1 put the value of y in equation 2 we get,

[tex]3x+x+3=19\\4x=16\\x=4\\[/tex]

Now putting the value of x in equation 1 we get,

[tex]y=4+3\\y=7[/tex]

Hence the required solution of the above equations is (4,7).

For more details on equation in two variables follow the link:

https://brainly.com/question/10824691

Shelly sleeps for 7 hours 30 minutes in a day. For how many hours did she sleep in the month of January?

Answers

Answer:

Shelly slept 232 hours and 30 minutes in the month of January

Step-by-step explanation:

31 days in January, so the equation will be

31 x 7.5  ( I wrote 0.5 because 30 minutes is half a day)

= 232.5 hours

Shelly slept 232 hours and 30 minutes in the month of January

Answer:

232.5 hours

Step-by-step explanation:

Well, the month of January has 31 days.

If shelly sleeps for 7.5 hours a day, and she sleeps 31 days, we need to do multiplication!

7.5*31=232.5 hours!

I need help and I can’t find any sadly. Help!!

Answers

Answer:

  D, A, E, C, B   or   2, 5, 4, 1, 3

Step-by-step explanation:

In general, you compare each line to the one before, and figure out what step was taken. Anything involving an arithmetic operation is allowed by the <Operation> Property of Order.

1. Matches the equation you're solving. This equation is Given.

2. The parentheses have been eliminated by multiplying their insides by the factor outside. The Distributive Property says you can do that.

3. The term 7x has been subtracted from both sides. The Subtraction Property of Order says you can do that.

4. The term -20 has been eliminated by adding 20 to both sides. The Addition Property of Order says you can do that.

5. Both sides have been divided by 18. The Division Property of Order says you can do that.

answer please!!!!!!!​

Answers

Answer:

1) 8/10 or 4/5

2) 1/4

3) 7/8

4) 13/10 or 1  3/10

5) 1/6

Step-by-step explanation:

1) If the denominators are different numbers, you need to find the common denominator. 3/5 + 2/10: Since /5 is a factor of /10, then you can multiply /5 by 2. But if you change the denominator, the numerator needs to change too. 3/5 * 2 = 6/10. Now simply add both fractions. 6/10 + 2/10 = 8/10 or if you reduce; 4/5!

2) Now that you know that method, do the same with the next problem. 3/4 - 1/2: /2 *2=/4. 1/2*2=2/4. 3/4-2/4 = 1/4!

3) 3/4 + 1/8 = (3/4*2) + 1/8. 3/4*2= 6/8. 6/8+1/8=7/8

4) Now, you cannot multiply 2 by any number to get 5. So you need to find the lowest common denominator. You find this by adding each number that is the denominator by itself until you get the same sum. Example: /5+/5=/10.  /2+/2+/2+/2+/2=/10. Remember, whatever is done to the denominator is done to the numerator. /5*2 = /10, 4/*2=8/. And /2*5=/10, 1/*5=5. So now it would be 5/10+8/10= 13/10 which could be changed to 1  3/10

5) Use the same technique you used last time on this problem. 2/3-1/2= (2/3*2) - (1/2*3) =4/6 - 3/6= 1/6!

Can someone help me :

Answers

E is the answer I am pretty sure.

There are 100 students in the sixth grade. The ratio of boys to girls is 2:3. How many more girls than boys are in the sixth grade?​

Answers

Answer: I Think you will make 100 time 2 divide 3

Step-by-step explanation:

i'm not sure, have a nice day

25*10to the power of 6 in standard form

Answers

Answer:

2.5 x 10^7

Step-by-step explanation:

Building For safety, the angle a wheelchair ramp makes with the horizontal should
be no more than 3.5º. What is the maximum height of a ramp of length 30 ft? What
distance along the ground would this ramp cover? Round to the nearest tenth of
a foot.

Answers

Answer:  8.6

Step-by-step explanation:

8.57142857143 -->     8.6

Describe the type of correlation each scatter plot shows. Draw a trend line that

models each data set and find the equation of that trend line.

Answers

The correlation is positive, negative and no correlation.

The correlation coefficients off both the scatter plots are mentioned above.

What is correlation?Correlation is a statistical measure that expresses the extent to which two variables are linearly related.The sample correlation coefficient is defined as

        [tex]${\displaystyle {\begin{aligned}r_{xy}&={\frac {\sum x_{i}y_{i}-n{\bar {x}}{\bar {y}}}{ns'_{x}s'_{y}}}\\[5pt]&={\frac {n\sum x_{i}y_{i}-\sum x_{i}\sum y_{i}}{{\sqrt {n\sum x_{i}^{2}-(\sum x_{i})^{2}}}~{\sqrt {n\sum y_{i}^{2}-(\sum y_{i})^{2}}}}}.\end{aligned}}}[/tex]

       where [tex]{\displaystyle s'_{x}}[/tex] and [tex]{\displaystyle s'_{y}}[/tex] are the uncorrected sample standard deviations of        

       X and Y.

Given are the scatter plot graphs as shown.

For the graph {1}, the correlation coefficient is positive and is in range of between 0.7 to 0.8

For the graph {2}, the correlation coefficient is negative and is in range of between -0.4 to 0.45

Therefore, the correlation coefficients off both the scatter plots are mentioned above.

To solve more questions on correlation, visit the link below -

https://brainly.com/question/28898177

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How many extraneous solutions does the equation below have? StartFraction 9 Over n squared 1 EndFraction = StartFraction n 3 Over 4 EndFraction.

Answers

The equation has one extraneous solution which is n 2.38450287.

Given that,

The equation;

[tex]\dfrac{9}{n^2+1} =\dfrac{n+3}{4}[/tex]

We have to find,

How many extraneous solutions does the equation?

According to the question,

An extraneous solution is a solution value of the variable in the equations, that is found by solving the given equation algebraically but it is not a solution of the given equation.

To solve the equation cross multiplication process is applied following all the steps given below.

[tex]\rm \dfrac{9}{n^2+1} =\dfrac{n+3}{4}\\\\9 (4) = (n+3) (n^2+1)\\\\36 = n(n^2+1) + 3 (n^2+1)\\\\36 = n^3+ n + 3n^2+3\\\\n^3+ n + 3n^2+3 - 36=0\\\\n^3+ 3n^2+n -33=0\\[/tex]

The roots (zeros) are the  x  values where the graph intersects the x-axis. To find the roots (zeros), replace  y

with  0  and solve for  x. The graph of the equation is attached.

n  ≈  2.38450287

Hence, The equation has one extraneous solution which is n  ≈  2.38450287

For more information refer to the link.

https://brainly.com/question/15070282

G and F are supplementary angles. If F is fifteen less then four times the measure of G find the measure of both angles

Answers

Answer:

G=39, F=141

Step-by-step explanation:

Let us set up equations, with G and F as variables.

Since G and F are supplementary, they must add up to 180.

G+F=180

Given the equation, we can set it up too

F = 4 * G - 15

Here, we can solve for this equation by plugging the second equation into the first one with substitution

G+4*G-15=180

simplify and solve

5G=195

G=39

Plug this into the first equation to solve for F:

39+F=180

F=141

We can plug both answers into the second equation to check and find that we are indeed right.

I need help. What is the slope?

Answers

The slope is : -1
Ok done. Thank to me :>

The area of a regular pentagon is 600 cm². Calculate the length of one side of the pentagon.

Answers

Answer:

18.675cm

just search it

HELPPPP please help for brainlist !!!!!!!!!!!!!!

Answers

Answer:

a(x) and d(x)

hope it helps, have a good day!

dont forget my brainliest!

Step-by-step explanation:

There are 3 times as many books in the town library as there are in the school library. The town library has 2,676 books.

How many books are in the school library?

Answers

Answer: First we know the Town Library has 3 times as many books as there are in the School Library. The Town Library has 2,676 books.

Divide 2,676 by 3. 2676÷3= 892

So your answer is: 892 books.

Hope I helped. :)

The number of books in the library will be 892.


What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

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 that there are 3 times as many books in the town library as there are in the school library. The town library has 2,676 books.

The number of books will be calculated as,

Number = 2676 / 3

Number = 892

Hence, the number of books will be 892.

To know more about an expression follow

https://brainly.com/question/27999047

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A retailer plans to sell two models of earbuds at costs of $250 and 5400.
The $250 model yields a profit of $45 and the $400 model yields a profit of
$50. The retailer estimates that the total monthly demand will not exceed
250 units. Find the number of units each model that should be stocked in
order to maximize profit, given that the retailer is not investing more than
$70,000 in inventory

Answers

200 $ 250 earbuds and 50 $ 400 earbuds should be stocked.

Given that a retailer plans to sell two models of earbuds at costs of $ 250 and $ 400, and the $ 250 model yields a profit of $ 45 and the $ 400 model yields a profit of $ 50, and the retailer estimates that the total monthly demand will not exceed 250 units, to find the number of units each model that should be stocked in order to maximize profit, given that the retailer is not investing more than $ 70,000 in inventory, the following calculation should be performed:

250 x 250 + 0 x 400 = 62,500 200 x 250 + 50 x 400 = 70,000

Therefore, 200 $ 250 earbuds and 50 $ 400 earbuds should be stocked.

Learn more about maths in https://brainly.com/question/25865591

ALGEBRA​ Find ​x and ​y so that each quadrilateral is a parallelogram.
(Please do at least 2, but doing all 4 would be greatly appreciated, and i will mark u brainliest.)

Answers

7) 2y=y+19
y=19
2x-8=x+16
2x=x+24
x=24
8) y=14
x=3
9) x=44
y=20
10) x=17
y=9

What sentence represents this equation? 4 1/3=11−x

Answers

Answer:

4 1/3 is the same as 11 decreased by a number.

Step-by-step explanation:

Use the figure to find the measure of

Answers

Answer:

m∠URV = 124°

Step-by-step explanation:

hope this helps

Answer:

what is the work to figure out the anwser?

Step-by-step explanation:

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