For binomials of the form (x - y) ^ n explain how to determine the sign of a term without writing out the entire expansion

Answers

Answer 1

Answer:

When raising an expression of that format to any power, after grouping like terms, you'll always find that the odd numbered terms are positive, and the even numbered terms are negative.

For example:

(x - y)² = x² − 2xy + y²

(x - y)³ = x³ − 3x²y + 3xy² − y³

(x - y)⁴ =x⁴ − 4x³y + 6x²y² − 4xy³ + y⁴

etc.


Related Questions

A school band is buying new jackets and hats. A jacket
costs $100 and a hat costs $40. The expression 100j + 40h
represents the cost of į jackets and h hats. How much will 5
new jackets and 8 new hats cost?

Answers

Answer:

it will cost 1820

Step-by-step explanation:

add 100 + 40=140 x 13=1820

Hoped it helps

Molly is currently one third the age of her mother. In 12 years, Molly will be half the age that her mother will be. How old is Molly's mother now?

Answers

Answer

Molly's mother is 36 years old now.

Step-by-step explanation:

Answer:

Molly's mother is 36 now.

Step-by-step explanation:

(I could go the algabraic way, but I'd prefer not to. I'd rather guess. )

If Molly would be 24 in 12 years and her mother would be 48 at that time, then Molly is 12 now. Her mother would be 36 now.

Well, that didn't take too long! I hope this helps!

graph y < - 4/3x + 3

Answers

Answer: if you see my picture you will see my answer

Step-by-step explanation: hope this help

BRAINLEST ANSWER!!

Find the coordinates of midpoint E.

(Enter answer in simplified form.)

Answers

Answer: -2a,-2b

Step-by-step explanation:

FIND TWO NUMBERS WHOSE SUM IS 21 AND DIFFERENCE IS 17

11 , 10
2 ,23
19 ,2​

Answers

Answer:

19, 2

Step-by-step explanation:

let the 2 numbers be x and y with x > y , then

x + y = 21 → (1)

x - y = 17 → (2)

Add the 2 equations term by term to eliminate y , that is

2x = 38 ( divide both sides by 2 )

x = 19

substitute x = 19 into (1) for value of y

19 + y = 21 ( subtract 19 from both sides )

y = 2

The 2 numbers are 19 and 2

HELPPPPPPPPPP this is due soon!

If (x – 3)2 = 5, what values of x make the quadratic equation TRUE?

A. 3+√5


B. -3+√5


C. +√5/3


D. -√5+3

Answers

Answer: Its a

Step-by-step explanation:

The value of [tex]x=3+\sqrt{5}[/tex] make the quadratic equation true.

Quadratic equation :

Given equation is,

                     [tex](x-3)^{2}=5[/tex]

We have to solve above quadratic equation.

Expand above equation first,

                 [tex](x-3)^{2}=5\\\\x^{2} +9-6x=5\\\\x^{2} -6x+4=0\\\\x=\frac{6\pm \sqrt{36-16} }{2} \\\\x=3\pm\sqrt{5}[/tex]

Thus, the value of [tex]x=3+\sqrt{5}[/tex] make the quadratic equation true.

Learn more about the quadratic equation here:

https://brainly.com/question/1214333

The sum of 3 consecutive numbers is 21. Write and solve an equation that represents the situation.​

Answers

Answer:

I don't know if you want it with variables or the actual #s but here ya go...

a+b+c=21

6+7+8=21

Divide £ 45 among 3 person so that their share are in the ratio 4:5:6

Answers

Answer:

12, 15, 18

Step-by-step explanation:

4x+5x+6x=45

15x=45

x=3

4x=12, 5x=15, 6x= 18

consider the function y 2x+3. which is true

Answers

Answer:

True

Step-by-step explanation:

if you really think about it you can use y for anything an dy is the most replaceable to have so i agree with your think hope it help man

Following are the solution to the given graph equation:

Given:

[tex]y<2x+3[/tex]

To find:

true points

Solution:

The shade appears below a broken (dashed) line inside the supplied graph equation because the value is less than (<).With shade above, the line will not be smudged.With shade above, the line will not be dashed.With shade below, this line would not be solid.

Therefore, the final answer is "None of these".

Learn more:

brainly.com/question/20050244

Complete the table below.

Answers

Answer:

column 1, (2 and 2)

column 2, (8 and 4)

Step-by-step explanation:

For the first one, y = 2[tex]x^{2}[/tex]. You would plug in 1 into x and since one times itself is one, you would end up with 2. For the next question, you would plug in one and find that two times one is two. For the next column, by plugging in 2, you would find that you would end up with 2 times 4 and thus, you would find the answer which is 8. Lastly, two to the power of two is 4. Hope this helped!

Make x the subject of the
formula x + 1 = ax + 3

Answers

Answer:

X=ax+2

x+ax=2

X=2/(a+1)

Marijah wants to start saving money as a
New Year’s resolution. She starts with $125
and decides to save $15 per week from her
part-time job. Write an equation to represent
the total money saved, T after w weeks.

Answers

use a calculator and u should get whatever 125/15 is

Cece's dog loses 11b. Then her dog loses another 1.16. Finally, it
gains Ib. What is the total change in her dog's weight? Show your work.
PLEASE help it for math and it due today please help

Answers

Answer:

The total change in her dog's weight is 11.16 pounds lost.

Step-by-step explanation:

11+1.16=12.16

12.16-1=11.16

An electrician charges an $80 flat fee, plus $60 per hour to work on a house.
a. Complete the table that shows the cost of hiring the electrician for 3 hours.

Answers

Answer:

260

Step-by-step explanation:

60 X 3 = 180

180+80 = 260

Some ppl might think this is easy

Answers

point-slope form: y - 5 = (-1/5)(x - 7)

standard form: x + 5y = 7

slope-intercept form: y = (-1/5)x + (7/5)
***note: (-1/5) = -0.2 and (7/5) = 1.4
y-7=-10(x-5) is point slope form.
y=-10x+43 is slope-intercept form.
10x+y=57 is standard form.

Riley wanted to paint a picture that was 8 inches long and 4 inches wide what's the area of her picture and the unit of it.

Answers

Answer: Riley's picture has an area of 32 inches

8*4=32

If a triangle has 2 sides of 8 and 11 what could the third side be

Answers

Answer:

Any value between 3 and 19 may be the measure of third side.

Step-by-step explanation:

If three sides of a triangle are a, b, and c, possible measures of the sides of a triangle will be.

1). a + b > c

2). b + c > a

3). a + c > b

If a = 8, b = 11,

1). 8 + 11 > c

   c < 19

2). 11 + c > 8

    c > 8 - 11

    c > (-3)

3). 8 + c > 11

    c > 11 - 8

    c > 3

Therefore, by combining the given inequalities,

3 < c < 19

Any value between 3 and 19 may be the measure of third side.

it takes 25 min to cook 10 egg how long does it take to cook 20​

Answers

Answer:

50 minutes

Step-by-step explanation:

so it takes 25 minutes to boil 10 egggs so right now we have to find out the how Long one egg cooks for so it’s 25/10 and the answer is 2.5 and 2.5 times 20 is 50 so it takes 50 mins to cook 20 eggs

Help me!!! PLEASE (I only have 13 points)

Answers

Answer:

0.6 ÷ 0.3 - Option 2.

0.2 × 0.9 - Option 3.

1.) Ivan made a scale drawing of his cell phone using the scale factor 1 mm = 2 in. How long is the drawing of his phone if the actual phones is 8 inches? 21 A recine for rice pudding calls for 2 y cuns of​

Answers

Answer:

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Step-by-step explanation:

45k+34=979 i need help

Answers

Answer:

I think its 21 because 45x21= 945+34= 979

Step-by-step explanation:

Solve for the unknown quantity in each proportion.
Question: K over three equals three over nine
A. 1
B. 3
C. 9
D. 27

Answers

Answer:

D

Step-by-step explanation:

27÷3=9

Oh yeah lol I did it on the one

Need help ASAP
Question 3 of 10
The graph below could be the graph of which exponential function?
A. FX) = 2 (7)
O B. FX) = 2
C. F(X) = 2 · (0.5)
D. FX) = 2(16)

Answers

A. 6(a+8)

B.4(1+ 9x)

C.(9m + 10) x 2

D. 3 (2x + 4y - 15z

To distinguish it from other exponential functions, the exponential function f(x)=e^x is frequently referred to as the natural exponential function.

What is exponential function?

The mathematical symbol again for exponential function is e^x. The word, unless specifically stated differently, typically refers to the optimistic functional of a real variable, but it may be extended towards the complex numbers or adapted to other mathematical like matrices and Lie algebras.

The idea of exponentiation, or repeated multiplication, is where the exponential function got its start, but more recent definitions—there are several that are equivalent—allow for it to be rigorously expanded to everyone real arguments, especially irrational values.

A. FX) = 2 (7)→ 6(a+8)

O B. FX) = 2→4(1+ 9x)

C. F(X) = 2 · (0.5)→(9m + 10) x 2

D. FX) = 2(16)→ 3 (2x + 4y - 15z)

Therefore, to distinguish it from other exponential functions, the exponential function f(x)=e^x is frequently referred to as the natural exponential function.

To know more about exponential function, here:

https://brainly.com/question/17246770

#SPJ7

help please i’ll give brainliest.

ΔABC is similar to ΔFED. Answer the questions to find the length of DF .


1. Which side in ΔFED does AB in ΔABC correspond to?
Write your answer in the space below.


2. Which side in ΔFED does CB in ΔABC correspond to?

Answers

Answer:

1.AB are the first 2 letters in ΔABC. Similarly, FE are the first 2 letters in ΔFED.

Hence side AB corresponds to side FE.

2.CB are the last 2 letters in ΔABC. Similarly, DE are the last 2 letters in ΔFED.

3.AC corresponds to FD

4.The scale factor is 2 because you would take the sides in ABC and multiply by 2 to get the sides in FED

5.6 because it corresponds to CB  and you would multiply the side of CB (3) by 2 and you would get 6

6.A^2+B^2=C^2   =    FE^2+ED^2=FD^2    =    8^2+6^2=100^2   = square root of 100=   10

The side length of FD is 10

Answer:

Your welcome no need to thank me

Step-by-step explanation:

Please help!!! I need help asap!!!

Answers

Answer:

-5

Step-by-step explanation:

A negative times a negative always equals a positive.  5 x 9 = 45

Consider the function f(x) = x(x – 4). If the point (2 + cy) is on the graph of f(x), the following point will also be on the graph of f(x): Select a Value Select a Value (C - 2,y) (2-cy)​

Answers

Answer:

(2-cy) is the correct answer for the problem

Solve for q.
3
19
= 2
2/3
O 8/3
O 6/3
O 2

Answers

Answer:

3/4q=2 ÷3/4

q=8/3

Step-by-step explanation:

prove me wrong

solve for x each figure is a parallelogram please help

Answers

Answer:

UW = EW+UE=2×EW because, EW=UE

7x-2=2×6= 12

7x=14

x=14/7

x=2

2 is the right answer.

4 ^-2 x 4 ^ 5 help ty

Answers

Answer:

The answer is c

Help ASAP don't spam please, its about exponents

Answers

Answer:

A. FALSE

Step-by-step explanation:

pls mark me as brainliest

Answer: True

Step-by-step explanation:

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