12. (y + 1)^8
How to expand this binomial?

Answers

Answer 1

Answer:

[tex] {y}^{8} + 8 {y}^{7} + 28 {y}^{6} + 56 {y}^{5} + 70 {y}^{4} + 56 {y}^{3} + 28 {y}^{2} + 8y + 1[/tex]

Answer 2

Answer:

Step-by-step explanation:

This is an ugly binomial expansion, which you should try to remember

These are the coefficients for the power

1,2,1 for power two

1,3,3,1 for p=3

1,4,6,4,1 for p=4

1,5,10,10,5,1 for p=5

you should see a pattern here :)

1,8,28,56,70,56,28,8,1

In general the terms are ordered for the expansion of (a+b) that has the form

a^n(b^0)+a^(n-1)b^1+...a^0(b^n) since we have (y+1)^8 we wind up with

y^8+8y^7+28y^6+56y^5+70y^4+56y^3+28y^2+8y+1


Related Questions

If 4y + 4x = 12, what is y in terms of x?

Answers

Answer:

Y=-x+3

Step-by-step explanation:

First move the the x term to one side. Isolate the y term. Then because the coefficient is 4 in the y term divide the whole equation by 4. Then you get your answer.

The two dot plots compare ages of girls and boys in a pottery class.
Which group has a greater median?

Answers

Girls should be correct

Which of the following functions shows the absolute value parent function
F(x) = [xl, vertically compressed?
O A. G(x) = 14x1
B. G(x) = 12.5x1
C. G(x) = x1
D. G(x) = 10x1

Answers

B maybe.... if not sorry

The function which represent the absolute value is G ( x ) = a|x| , where the value of a < 1

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = | x |

This function is symmetric with respect to the y-axis and has a V-shape, with the vertex at (0,0).

To vertically compress the function, we can multiply the function by a constant value less than 1.

And , the function that shows the absolute value parent function f(x) vertically compressed is:

G ( x ) = a| x |, where 0 < a < 1

The value of "a" determines the degree of compression of the function. The smaller the value of "a", the greater the degree of compression.

To learn more about transformation of functions click :

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Perform the indicated operations:



4−1−4
05−2
0810
−7
−11
22





4−1−4
0ab
0cd
−7
88
110


a =
, b =
, c =
, d =

Answers

Answer:

A= -40

B= 16

C= 40

D= 50

Step-by-step explanation:

The values of the matrix is a = -40, b = 16, c = 40, d = 50.

What is a matrix?

A matrix is an arrangement of numbers, expressions or symbols arranged in rows and columns as a rectangular array. These rows and columns define the size or dimension of a matrix.

For the given situation,

The matrix is

[tex]\left[\begin{array}{ccc}4&-1&-4\\0&5&-2\\0&8&10\end{array}\right] = \left[\begin{array}{c}-7&-11&22\end{array}\right][/tex]

The operation on matrix is

[tex]-8R2- > R2[/tex] and

[tex]5R3- > R3[/tex]

⇒ [tex]\left[\begin{array}{ccc}4&-1&-4\\0&-40&16\\0&40&50\end{array}\right] = \left[\begin{array}{c}-7&88&110\end{array}\right][/tex]

On comparing this equation with the given equation,

[tex]a=-40, b=16, c=40, d=50[/tex]

Hence we can conclude that the values of the matrix is a = -40, b = 16,     c = 40, d = 50.

Learn more about matrices here

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help me asap ill give brainliest

Answers

Answer:

-6, -2, 1, 8

Step-by-step explanation:

Answer:

-6, -2, 1, 8

Step-by-step explanation:

Negatives have less value than positives, so that's why the negatives go first in the answer.

The food bill came to 22$. If you wanted to leave a 20% tip, how much money would you leave for the tip? (Very urgent!)

Answers

Answer:

it would come out to $4.40

Answer:

$4.40

Step-by-step explanation:

(GIVING BRAINLIEST!!!)

0.5 g of salt is equal to how many milligrams?

Show all of your calculations.

Answers

Answer:

500 mg

Step-by-step explanation:

K H D B D C M (Kilo, Hecto, Deka, Base [meters, grams, etc.] Deci, Centi, Milli)

since you're using grams substitute G for B

K H D G D C M

you have 0.5 grams of salt, which will be G for grams. you want to convert it to milligrams, which is M. you will move the decimal over 3 spots in order to get from G to M, therefore you go from 0.5 grams to 500 milligrams. I hope this is helpful!

a bakery sold 123 chocolate cupcakes in a day, which was 41% of the total number of cupcakes sold that day. how many total cupcakes did the bakery sell that day?​

Answers

Answer:

300

Step-by-step explanation:

took the test adn this is right now PLEASE MARK BRAINLIEST

Answer:

they sold 300 cupcakes

Step-by-step explanation:

please mark brainliest

PLEASE HELP WITHIN 1 hr

Answers

Hey I can’t do everything cause I need to help my mum so I’ll do as much as I can so 1). -16
2). -25
3). 1
4). 4
All you need to do is get a calculator and find out how fast they can run by putting the equation given

3.
Is this relation a function?
A.
Yes
B.
No

Answers

Answer:

Yes

Step-by-step explanation:

There are not multiple of the same Y-values so it is a function.

Last week, Naomi set a new personal record for running the mile. She beat her previous record by 14 seconds. The time change from her previous record can be represented by.____
zero
a positive rational number
a negative rational number


brainlyist for the correct answer

.

Answers

Answer:

a negative rational number

Step-by-step explanation:

I'm pretty positive this is the answer, but its worded strange in my opinion

Can someone explain step by step how they would solve this.
2(3x-1)-x =2x-11

Answers

2(3x-1)-x=2x-11

6x-2-x=2x-11

5x-2=2x-11

3x-2=-11

3x=-9

Divide -9 by 3

Answer: x=-3

Hope this helped!

Answer:

x = - 3

Step-by-step explanation:

Given

2(3x - 1) - x = 2x - 11 ← distribute parenthesis on the left side and simplify

6x - 2 - x = 2x - 11

5x - 2 = 2x - 11 ( subtract 2x from both sides )

3x - 2 = - 11 ( add 2 to both sides )

3x = - 9 ( divide both sides by 3 )

x = - 3

two parallel roads, Elm Street and Oak Street, are crossed by a third, Walnut Street, as shown in diagram. The value of X is​

Answers

Answer:

x=16

Step-by-step explanation:

2x + 33 = 5x - 15 (Alternate Interior Angles)

33 + 15 = 5x - 2x

48 = 3x

x= 48/3 = 16

(5x-15)°+ (2x+33)°= 180°
+15° +15°
5x + 2x+ 48°= 180°
-2x -2x
3x+48°=180°
-48° -48°
3x = 132°
divide by 3
x= 44

In a chemistry lab, you have two vinegars. One is 8% acetic acid, and one is 9.5% acetic acid. You want to make 300mL of a vinegar with 9% acetic acid. How many milliliters of each vinegar do you need to mix together?

Answers

Answer:

4.5

Step-by-step explanation: there

Do you have to add both of the bases in a triangular prism to find the volume?​ Someone please help!

Answers

Answer:

Yes,you have to add both of the bases in a triangle  prism to find the volume.

Step-by-step explanation:

took the test.

Answer:

No, you need it once

Step-by-step explanation:

Volume of the prism:

V = bh

You use the area of the base once, multiply it by the height to find the volume

The answer is no.

Can someone please help me?:)


i dont know how to do this question can you please explain how to

Answers

Answer:

84

Step-by-step explanation:

the perimeter is basically all the way round a shape

P=2l+2d2﹣l2 for the diagnol

Texas is home to about 70% of the 47 species of bats in the United States. About how many species of bats live in Texas?​

Answers

Answer:

33

Step-by-step explanation:

70% of 47 is 33 species

Answer:

32.9

Step-by-step explanation:

In ΔSTU, the measure of ∠U=90°, TS = 41, UT = 9, and SU = 40. What is the value of the sine of ∠S to the nearest hundredth?

Answers

Answer:

Step-by-step explanation:

sinS = 9/41 ≅ 0.22°

Select the true statement(s):

Answers

Answer:

The true statement is C because between -4 and 14 is 10

Step-by-step explanation:

Plz mark brainliest

Answer:

b

Step-by-step explanation:

(-5)-12=17

6-(-3)=9

(-4)-14=18

hope this helps have a great day :)

An airplane on autopilot took 9 hours to travel 6552 kilometers. What is the unit rate for kilometers per​ hour?

Answers

Answer:

695 km and hour

Step-by-step explanation:

I WILL MARK YOU BRANLIEST IF YOU ANSWER THIS QUESTION

Answers

The answer for this question is B

find the measure of the missing angle

Answers

Answer:

? ≈ 25.8°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan? = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{14}{29}[/tex] , then

? = [tex]tan^{-1}[/tex] ( [tex]\frac{14}{29}[/tex] ) ≈ 25.8° ( to 1 dec. place )

A shoe store owner uses a 15 percent markup on the merchandise. At what price will she sell shoes that were purchased for $35?

Answers

Answer:

$40.25

Step-by-step explanation:

35 increase 15% =

35 × (1 + 15%) = 35 × (1 + 0.15) = 40.25

Write an algebraic expression for each situation for 22 divided by s

Answers

Answer:

s/22? i think thats one way

Step-by-step explanation:

Someone help me (10 points each)

Answers

Answer:

132

Step-by-step explanation:

Answer:

132

Step-by-step explanation:

Directions: Calculate the volume of the box in the diagram.

Answers

Answer:

6cm^3

Step-by-step explanation:

V = l*w*h

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

Answer:

6

Step-by-step explanation:

3 times 2 =6

6 times 1 =6cm3 (cubed)

divide 72 pens between Sarah and Amina is the ratio 4:5.

Answers

Answer:

Sarah gets 32 pens and Amina gets 40 pens

Step-by-step explanation:

72 pens

4/9×72 = 4×8 =32

Sarah gets 32 pens

5/9×72=5×8=49

Amina gets 40 pens

hope it helped

ZOOM IN IF YOU CANT SEE THE PIC I NEED HELP ASAP

Answers

Answer:

5/9

Step-by-step explanation:

Answer:

i think 5/9

Step-by-step explanation:

hey i need that special someone, 7th grade, 13, somewhat a lil older could be fine,also imma a girl, but yk yeah hmu...

Answers

Answer:

mf you are asking this in high school.

Step-by-step explanation:

value of -2 ( x + 5 )

Answers

(-2x - 10)

i am smart
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