Expand [tex](x-\frac{1}{x} )^{12}[/tex] , simplifying the coefficients

Answers

Answer 1
x/2

....................

Related Questions

If n - 72 = 36, then what is the value of n?

Answers

N - 72 = 36

To solve for n add 72 to both sides of the equation:

N = 108

Answer:

108

Step-by-step explanation:

Add 72+ 36 you will get your answer

The answer is 108

Therefore n= 108

How many times greater is the value of the 7 in 70,048 than the value of 7 in 17,992?

Answers

Answer:

10 times

Step-by-step explanation:

The value of the 7 in 70,048 is 70,000

The value of the 7 in 17,992 is 7,000.

If you divide 70,000 by 7,000, you get 10.

The first 7 is 10 times greater than the 2nd.

I hope this helps!

pls ❤ and mark brainliest pls!

Answer:10 times

Step-by-step explanation:

The value of 7 in 70,048 stands for 7 Ten thousand  which is equal to 70,000

Also 7 in 17,992 stands for 7 thousand which is equal to  7,000

So we divide to know how much the lesser value is in the grater vale giving us

70,000/7,000 =10

Therefore, the value of 7 in 70,048 is 10 times  than the value of 7 in 17,992

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x²-2xy+y² when x=3 and y=2​

Answers

Answer:

1

Step-by-step explanation:

First plug in x and y:

(3)^2 - 2(3)(2) + (2)^2

Use order of operations (PEMDAS). First, evaluate the exponents:

9 - 2(3)(2) + 4

Then multiplication:

9 - 12 + 4

Then addition and subtraction, which is done from left to right:

-3 + 4

1

Answer:

[tex] {x}^{2} - 2xy + {y}^{2} \\ x = 3 \\ y = 2 \\ then \: we \: can \: written \: as \\ {3}^{2} - 2 \times 3 \times 2 + {2}^{2} \\ = 9 - 12 + 4 \\ = - 3 + 4 \\ = 1 \\ or \: in \: another \: way \\ this \: is \: the \: expansion \: of \: {(x - y)}^{2} \\ so \: put \: x = 3and \: = 2in {(x - y)}^{2} \\ then \: {(3 - 2)}^{2} \\ = {1}^{2} = 1 \\ thank \: you[/tex]

02:23:02
A rectangle with an area of x2 - 4x - 12 square units is
represented by the model
What side lengths should be used to model the
rectangle?
O(x + 2) and (x-6)
0 (x + 6) and (x - 2)
0 (x + 2) and (x – 10)
o (x + 10) and (x - 2)
XX
-
-
X
Save and Exit
Next
Submit

Answers

Answer:

[tex](x + 2) \: \: and \: \: (x-6)[/tex]

Step-by-step explanation:

[tex] {x}^{2} −14−12 \\ = {x}^{2} + 2x - 6x - 12 \\ = x(x + 2) - 6(x + 2) \\ = (x + 2)(x - 6)[/tex]

Hope it is helpful....

(x + 2) and (x-6) are the side lengths which should be used to model the rectangle.

What is Area of Rectangle?

The area of Rectangle is length times of width.

Given that  rectangle with an area of x² - 4x - 12 square units.

We have to find the side lengths which should be used to model the

rectangle.

x² - 4x - 12

x square minus four times of x minus twelve.

x² -6x+2x-12

Now factorize the given expression.

x(x-6)+2(x-6)

(x+2)(x-6)

Hence, (x + 2) and (x-6) are the side lengths which should be used to model the rectangle.

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If two functions, f(x) and g(x), are inverse functions, what must the composition of f(g(x)) and g(f(x)) both equal?

A. 0
B. 1
C. f(x) = g(x)
D. x

Answers

Answer: Choice D)  x

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

Explanation:

The composition of the original function with its inverse will cancel out the operations to yield the input as the output.

Consider the example functions shown below

f(x) = x+5g(x) = x-5

The first function adds 5 while the second function does the complete opposite and subtract 5. The two functions are inverses of each other.

We see that,

f(x) = x+5

f(g(x)) = g(x)+5

f(g(x)) = x-5+5

f(g(x)) = x

and you should find that g(f(x)) = x for similar steps.

No matter what the x input is, the output will be identical to the input.

For instance, if we plug in x = 7, then adding 5 to it gets us 12. Then undoing that operation to subtract 5 gets us back to 7 again. This is one example showing why both f(g(x)) and g(f(x)) both equal x, where f and g are inverses of each other.

Jessica spent half of her allowance going to the movies. She washed the family
car and earned 9 dollars. What is her weekly allowance if she ended with
17 dollars ?

Answers

Answer:

16 dollars.

Step-by-step explanation:

She ended with 17 dollars after earning 9 dollars, so her amount of money before earning this was 17 - 9 = 8 dollars.  This is half of her weekly allowance, so her weekly allowance is double this or 16 dollars.

what is the rule division property of radicals?

Answers

Answer:

Divide the numbers from within the radicals.

2) Para realizar um campeonato de vôlei em uma escola o professor de educação física decidiu dividir os 96 alunos em grupos. Sabendo que cada equipe para esse esporte deve ser composta por 6 pessoas, quantas equipes o professor conseguiu formar?​

Answers

Answer:

Answer:

16

Step-by-step explanation:

96÷6=16


Carly spent more than 180 minutes this week on her computer. She
spent 45 minutes on Sunday and the same number of minutes each
of the other 6 days. What is the minimum number of minutes that
Carly spent on her computer each of the other 6 days? Write and
solve an inequality.

Answers

Answer:256

Step-by-step explanation:

Divide. Write your answer in simplest form. −8/9÷(−8/9)=

Answers

Answer:

[tex] - \frac{8}{9} \div ( - \frac{8}{9} ) \\ - \frac{8}{9} \times ( - \frac{9}{8} ) \\ = 1[/tex]

I hope I helped you^_^

(2x+y)^2- (y-2x)^2
pleaseee help me

Answers

Assuming you are asked to simplify the expression?

= (4x^2 + 4xy + y^2) - (y^2 - 4xy + 4x^2)
= 4x^2 - 4x^2 + 4xy + 4xy + y^2 - y^2
= 8xy

HELP WITH B, C, & D PLS: g(x) = 2x2 + 5x + 1, find: -3g(3)

Answers

B
Answer
24f+7g

Explanation

Multiply each number 4 time 6 equal 24 and 7 time one equal 7…

Factorise: (Using Algebraic Identities)
64x^3-(4x-3y)^3

Answers

Answer:

9y(16x2−12xy+3y2)

Step-by-step explanation:

Factor 64x3−(4x−3y)3

144x2y−108xy2+27y3

=9y(16x2−12xy+3y2)

Answer:

9y(16x2−12xy+3y2)

3. Determine the value of x if:
3.1. 75x -15 =5x + 125
3.2. 6(3x - 2) = 7(x + 3) +2
3.3.10/x-3= 8
3.4. x + 7 = 5x - 13
3.5. 20x +4 =4x - 46​

Answers

Step-by-step explanation:

3.1.

your question

75x-25=5x+125

collect like terms

70x=150

Divide both side by the coefficient of x

70x/70=150/70

70 ti cancel 70 on x side to leave x alone

:. x=150/70 or 2.14

3.2.

6×(3x-2)=7×(x+3)

multiply by the bracket

18x-12=7x+21

collect like terms

18x+7x=21+12

25x=33

divide by the coefficient of x

25x/25=33/25

x=33/25 or 1.32

3.3.

10/x-3=8

cross multiply(know that 8 is /1)

x‐3×8=10×1

8x-24=10

8x=10+24

8x=34

divide both sides by coefficient of x

8x/8=34/8

8x=34/8 or 4.25

3.4.

x+7=5x-13

collect like terms

7+13=5x-x

20=4x

divide both sides by the coefficient of x

20/4=4x/4

5=x

:.x=5

3.5.

20x+4=4x-46

collect like terms

20x-4x=-46-4

16x=-52

divide both sides by the coefficient of x

16x/16=-52/16

:.x=52/16 or 3.25

what is 6x^2+2x ?

please help will mark brainliest

Answers

Answer:

38x

Step-by-step explanation:

[tex]6x^{2}+2x\\=\\36x+2x\\=\\38x[/tex]

Chow,...!

Jonathon can jog 2 2/7 miles in 2/8 hour. Find his average speed of miles per hour.

Answers

Answer:

9.14 miles an hour

Step-by-step explanation:

For each line, determine whether the slope is positive, negative, zero, or undefined.
Line 1
Line 2
Line 3
Line 4
O Positive
O Negative
Zero
Undefined
Positive
O Negative
O Zero
O Undefined
O Positive
O Negative
O Zero
O Undefined
O Positive
O Negative
O Zero
O Undefined

Answers

As you move left to right on a line,
- a positive slope will be an increasing line (an uphill line)
- a negotiate slope will be a decreasing line (a downhill line)
- a zero slope will be a flat line (no incline or decline)
- an undefined slope fits with a line that doesn’t go left-to-right. It’ll be a vertical line.

For line 1 slope is negative, for line 2 slope is undefined, for line 3 slope is positive and for line 4 slope is zero.

What is the Linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

The slope of a line is a measure of its steepness and direction. To determine the sign of the slope, we need to look at the direction of the line:

If the line is slanting upwards from left to right, the slope is positive.If the line is slanting downwards from left to right, the slope is negative.If the line is vertical, the slope is undefined (since the denominator of the slope formula, which is the difference in x-coordinates, is zero).If the line is horizontal, the slope is zero (since the numerator of the slope formula, which is the difference in y-coordinates, is zero).

Therefore, Lines 1, 2, and 4 have negative slopes, undefinable slopes for lines 2 and 3, and positive slopes for lines 3 and zero for lines 4.

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6x + 3y - 9 when
x = 6, y = 9

Answers

Answer:

63

Step-by-step explanation:

6x + 3y - 9

x = 6

y = 9

6(6) + 3(9)

36 + 27

= 63

Which names are other ways to name _1? Select each correct answer.

y
pfy
pyf
p
yfp
ypf
f​

Answers

Answer:

your answer is F

I hope it's helps you

i need help with this question

Answers

Answer:

-14.50, -8/4, 4.2, 15/2, 12.072, 12.25

Identify whether or not the following features are represented in the above diagram for each feature that is represented write the name(s) denoted it in the diagram

Answers

The geometric features of objects are the objects features that are constructed by the aid of elements of geometry

The definition of the geometrical features are as follows

A ray is a line having a single starting point and a straight extension, having no end pointA vertex is the meeting point of two or more linesAn angle is formed by two rays that have a common vertexParallel lines are two lines that are always the same distance from each otherParallel planes are two planes that have equal distance from each otherCoplanar points are points on the same planeCollinear points are points on the same lineSegment addition postulate states that segment AC can include a third point B, when AB + BC = ACPerpendicular lines are two lines that intersect at 90°

Based on the above definitions, the values in the table are as follows;

[tex]\begin{array}{lcl} \mathbf{Feature}&& \mathbf{Denoted \ in \ diagram (s)}\\ \\Ray&&\\\\Vertex&&\\\\Angle&&\\\\Parallel \ lines &&\\\\Parallel \ planes &&\\\\Coplanar \ points&&\mathbf{C, \ F, A, N, B}\\\\Collinear \ points&&\mathbf{A, N, B}\\\\Segment \ addition \ postulate&&\mathbf{AN + NB} = AB\\\\Perpendicular \ lines&&\end{array}\right][/tex]

The features in the diagram are;

Coplanar points: C, F, A, N, B

Collinear points: A, N, B

Segment addition postulate: AN + NB = AB

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Factor this polynomial completely.
6x2 + 7x - 20

Answers

It’s the third answer
(2x + 5) x ( 3x -4)

0.125, 2/5, 65%, 0.5, 1/4, 80%, 0.232 in order from greatest to least

Answers

0.232 0.125 80 65 2/5 1/4 0.5

construct a quadrilateral KLMN in which KL=LM=KM=5cm,KM=8cm and LN =6 cm​

Answers

Answer:

Step-by-step explanation:

There are 2 possibilities.

1) Put a point L.

2) draw the circle of center L and radius 5 :C1

3) Put on point M on this circle

4) Draw the circle of center m and radius 8:C2

5) C1 and C2 intersect in K

is 5 (10) the same as 5 (3+7)

Answers

Answer:

[tex]yes \\ because \\ 5 \times (10) = 50 \\ and \: 5(3 + 7) = 5(10) = 50 \\ than k\: you[/tex]

Answer:

yes, because 3+7 is equal to 10

Step-by-step explanation:

multiply (x+8) (x-5)

Answers

Step-by-step explanation:

(x+8) (x-5)

multiply

x×x=x

8×-5=-40

How would I graph y = 5/3 x -9

Answers

-9 would be the y intercept and 5/3 is the slope/gradient.

The y intercept shows there should be a point at (0, -9) on the y axis.

From that point you can use the slope and go up 5 and over to the right 3 before plotting the next point. You can keep doing that in that direction and you can also go in the reverse by going down 5 and to the left 3 if necessary in the graph.

In the end it would look like this.

Find the median and mode of 14 ,25, 14, 28, 18, 17, 18, 14, 23 22, 14 and 18

Answers

Answer:

Ascending order - 14, 14, 14, 14, 17, 18, 18, 22,

23, 25, 28

Median = ( n+1/2)

= ( 11+1/2)

= 12/2 = 6th term

Here, in order 6th term is 18, so 18 is median.

Mode is frequently occurring number.

Here frequently occurring number is 14 i,e 4 times.

Hence, 14 is mode.

Answer:

mode ; 14

median; 18

Step-by-step explanation:

Ans; 14, 14 , 14 ,14, 17 , 18 , 18 , 18 ,22, 23 , 25 , 28

mode ; 14

[tex]median = \frac{n}{2} = \frac{18 + 18}{2} = \frac{36}{2} \\ \\ median = 18[/tex]

I hope I helped you^_^

PLEASE HELP :( WORTH 20 PIONTS I WILL MARK BRAINLIEST please answer honestly :)
here is the table of values for y = f(x)

x -2 , -1 , 0, 1, 2 , 3, 4 , 5, 6
f(x) 5, 6, 7, 8, 9, 10, 11, 12, 13
mark the statements that are true
A. f (-1) =6
B. f (5) = - 2
C. The domain for (x) is the set (-2, -1, 0, 1 , 2, 3, 4, 5, 6
D. the range for f(x) is all real numbers

Answers

wait. i’ll send it to my friends

[tex]Hello[/tex] [tex]There![/tex]

The answer is...

A. f (-1) = 6.

C. The domain for (x) is the set (-2, -1, 0, 1, 2, 3, 4, 5, 6).

Hopefully, this helps you!!

[tex]JesusLoveMeAlways[/tex]

:)

The total bill (parts and labor) for the repair of a car was $458. The cost of parts was $339. The cost of labor was $34 per hour. How many hours of labor did it take to fix the car?​

Answers

Answer:

3.5 Hours MARK ME AS BRAINLIEST PLEASE

Step-by-step explanation:

Take 458, and subtract 339 from it. Then, divide that by 34.

Answer:

3 and a half hours

Step-by-step explanation:

Subtract 399 from both sides

119 = 34h

Divide both sides by 34

3.5 = h

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