Expand completely using the Binomial Theorem
(3y - x)^4

Answers

Answer 1

Answer:

In standard form it is x^4 - 12x^3y + 54x^2y^2 - 108x y^3 + 81y^4.

Step-by-step explanation:

(3y)^4 + 4C1(3y)^3(-x) + 4C2(3y)^2(-x)^2 + 4C3(3y)(-x)^3  + (-x)^4

= 81y^4 - 108y^3x + 54y^2x^2 - 12yx^3 + x^4


Related Questions

What is the area of the triangle?
Been struggling for a minute please help

Answers

Answer:

4

Step-by-step explanation:

I used a calculator

Answer:

area of triangle=1/2×base×height

area of triangle =1/2×4×2

area lf triangle =4 unit²

1. −4n−8=4(−3n+2)
2. a−15=4a−3

what is the solution for 1 and what is the solution for 2

Answers

Answer:

n = 2 and a = - 4

Step-by-step explanation:

(1)

- 4n - 8 = 4(- 3n + 2) ← distribute parenthesis

- 4n - 8 = - 12n + 8 ( add 12n to both sides )

8n - 8 = 8 ( add 8 to both sides )

8n = 16 ( divide both sides by 8 )

n = 2

(2)

a - 15 = 4a - 3 ( subtract a from both sides )

- 15 = 3a - 3 ( add 3 to both sides )

- 12 = 3a ( divide both sides by 3 )

- 4 = a

Find the value of x.

Answers

Answer:

x=90°

Step-by-step explanation:

The inside angles in a triangle always add up to 180°.

So:

53°+37°=90°

180°-90°=90°

x=90°

Answer:

see below

Step-by-step explanation:

since the sum of angles in a triangle is 180 degrees

x + 53 + 37 = 180

x = 180 - 53 - 37

x = 90 degrees

hope this helps, please mark it brainliest

What is the solution to the equation 2(x + 3)2 = 98?

Answers

Answer: if you're solving by x it would be x=43/2

Step-by-step explanation:

What am I doing right

Answers

Although your -3 point is correct you need to graph the other point on (3,1) rather than (3,0)
so change that.

The function y = a · bx models ____ for a > 0 and 0 < b < 1.

Answers

Answer: I don't know

Step-by-step explanation:

Represent the following expressions in exponential form​

Answers

Answer:

You need to add the expressions. When you do I will edit my answer and give it to you.

Consider the enlargement of the triangle.

A small triangle has a base of 1.7 feet and height of 9.3 feet. A larger triangle has a base of 3.5 feet and height of x feet.
Not drawn to scale

Rounded to the nearest tenth, what is the value of x?
15.8 feet
19.1 feet
23.3 feet
32.6 feet

Answers

Given:

After enlargement of the triangle,

Base of small triangle = 1.7 feet

Height of small triangle = 9.3 feet.

Base of larger triangle = 3.5 feet

Height of larger triangle = x feet.

To find:

The value of x.

Solution:

After enlargement the figure is similar to original figure,

We know that the corresponding sides of similar triangles are proportional.

[tex]\dfrac{\text{Base of small triangle}}{\text{Base of larger triangle}}=\dfrac{\text{Height of small triangle}}{\text{Height of larger triangle}}[/tex]

[tex]\dfrac{1.7}{3.5}=\dfrac{9.3}{x}[/tex]

[tex]1.7\times x=9.3\times 3.5[/tex]

[tex]1.7x=33.55[/tex]

Divide both sides by 1.7.

[tex]x=\dfrac{32.55}{1.7}[/tex]

[tex]x=19.1470[/tex]

[tex]x\approx 19.1[/tex]

The value of x is 19.1 feet. Therefore, the correct option is B.

Answer:

sorry im late but the answer is B have a good day :)

Step-by-step explanation:

The state sales tax in one state is 5.5%, or 0.055. The state sales tax in a second state is 6%, or 0.06. How much greater was the sales tax in the second state than the first state?

Answers

Answer:

0.5 i think

Step-by-step explanation:

It will be 0.005.

Because it’s 0.06–0.055=0.005

Which fraction is equivalent to0.6?
A.1/16
B.1/6
C.1/3
D.2/3

Answers

Answer:

d. 2/3

Step-by-step explanation:

A Ferris-Wheel at an amusement park has a diameter of 40ft. How far would you travel in one revolution? Find the circumference

Answers

125.67 feet

C=2pi•r
C=2pi•20
125.67

If someone can help :)

Answers

Answer:

C

Step-by-step explanation:

(x-1)^2 + (y+6)^2 = 106
second option

Maria’s phone bills were $95, $67, $43, and $115. What was the mean, or average, of her phone bills?

Answers

Answer:

the mean is $80

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

Mean of Phone Bills =

[tex] \frac{phone \: bills \: total}{number \: of \: phone \: bills} \\ = \frac{95 + 67 + 43 + 115}{4} \\ = \frac{320}{4} \\ = 80[/tex]

A wooden building has the shape of a
rectangular pyramid. The building's
base is 100 meters long and 50
meters wide. The height of each
triangular face is 40 meters. How
much wood was used to make the
entire building?
A 33,000 m²
B 13,000 m2
C 11,000 m2
D 6,000 m2

Answers

Answer:

B: 13000 m²

Step-by-step explanation:

To find how much wood is used, we will have to find the surface area of the wooden building.

Formula for surface area of a rectangular pyramid is;

SA = lw + l√(h² + w²/4) + w√(h² + l²/4)

We are given;

l = 100 m

w = 50 m

h = 40 m

Thus;

SA = (100 × 50) + 100√(40² + 50²/4) + 50√(40² + 100²/4)

SA = 5000 + 4717 + 3201.56

SA = 12918.56

Approximating to 2 significant figures gives;

SA = 13000 m²

What is the value of the expression below when y=5
4y2-7y-6​

Answers

Answer and Step-by-step explanation:

Let's plug 5 in for y.

[tex]4(5)^{2} - 7(5) - 6\\\\\\\\4(25) - 35 - 6\\\\\\100 - 35 - 6 = 59\\\\\\[/tex]

The value of [tex]4y^{2} - 7y - 6[/tex] when y is equal to 5 is 59.

#teamtrees #PAW (Plant And Water)

Answer:

59

Step-by-step explanation:

You can just replace y with its value which is 5.

4y² - 7y - 6 = 4(5²) - 7(5) - 6

                  = 4 × 25 - 35 - 6

                  = 100 - 35 - 6

                  = 59

What is the solution of the system of equations below?
y + 2x = 2
y + 4x = 0
F. (1, -4) G. (-1,-4) H. (-1, 4) I. (1, 4)

Answers

G

Solution:

Here,

y+2x=2

y=2-2x

Now,

Putting the value of y

y+4x=0

2-2x+4x=0

2+2x=0

2(1+x)=0

1+x=0

x=-1

Then,

Putting the value of x

y=2x-2

=2×-1-2

=-2-2

=-4

Hence,the solution is (-1,-4)

4 + 2x − x = −3x − 4 what is the value of x?

Answers

Answer:

1,000,000

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

Hi,

4 + 2x - x = -3x - 4

4 + x = -3x - 4

x = -3x - 8

4x = -8

x = -2

Hope this helps :)

Identify the transformation from figure A to figure B in the image below.
glide reflection
reflection
translation
dilation

Answers

Answer:

Reflection

Step-by-step explanation:

Here, we want to get the transformation that yielded figure B from figure A

Looking at the plot, we can see that we have the origin as the center of transformation

The kind of transformation however is reflection

The shape A was reflected about the origin or the point (0,0) to give shape B

Answer:

glide reflection

Step-by-step explanation:

got it right on a quiz

Find the product: (6x+5)(2x−7)

Answers

-420 is your answer
your welcome make me the brainliest!!!

Can someone please help me answer my last math question asap thank you

Answers

Answer:

Joe

Step-by-step explanation:

Strat: Solve both for 1 hour. 48/3=16(Ron)

34/2=17(Joe)

7. On Saturday, a craft store had 150 visitors, and 80% of the visitors made a purchase. Of the customers who made a purchase, 39 customers bought one item, 57 customers bought two items, and the remaining customers bought three or more items. How many customers bought three or more items at the craft store?​

Answers

Answer:

24 customers bought 3+ items.

Step-by-step explanation:

80% of 150 = 120

39/120 bought 1 item

57/120 bought 2 items

39 + 57 = 96

120 - 96 = 24

24 customers bought 3+ items.

Hope this helps! :)

Plz HELP!!!!!! NO LINKS!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

The dot at A is an outlier because it is far outlying the skewed pattern of the data, and is basically isolated from the rest of the data.

for brainiest:):):)):)

Answers

Answer:

1)50.24 2) 254.34

Step-by-step explanation:

plss help i’ll give brainliest thank you!

Answers

Answer:

36

Step-by-step explanation:

The absolute value of a number is how far away the number is from zero. The absolute value is ALWAYS positive.

Answer:

36.

Step-by-step explanation:

absolute value is always zero or positive

there are 15 students in a guitar club. 40% of them bought a club t shirt. how many t shirts were purchased pls help me asapp

Answers

Answer:

37.5, 3/8

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

15 students x 0.4 (equivalent to 40%) = 6

OR

15/100% = 0.15 (to find one percent)

0.15 = 1%

0.15 x 40% = 6 (to find 40%)

Ayuda por favor, es de calculo diferencial Tema: optimización.

Se desea construir una caja sin tapa que contenga el máximo volumen a partir de una lámina cuadrada de 10 m de lado. Determina las dimensiones de la caja.

Answers

Answer:

dots dots tods jajtikalaj majc kala mo meroonnn anoo asa ka

Which quantity makes the equation true?
x + 3x + _______ = 7x

Answers

Answer:

Step-by-step explanation:

C)  3X

Answer: C. 3x

Step-by-step explanation:

Since x and 3x both have x, you can add them together to get 4x (if there is x by itself, it really means that there is one of it, so it would be 1x.)

Then, you subtract 7x by 4x, which gives you the answer, 3x. You could also solving it by asking yourself: What number plus 4x equals 7x, which would give you 3x.

Find the slope of the line of best fit shown below.

Answers

Answer:

the slope of the line is .5

Step-by-step explanation:

start at point a and rise 1 and run 2 to point d which makes the slope 1/2

triangle cde is reflected over the y axis. what are the vertices of triangle cde?

Answers

Answer:

just multiply the x coordinates by -1

Step-by-step explanation:

Answer:

Step-by-step explanation:

10!!POINTS “what is the range?”

Answers

Answer:

53

Step-by-step explanation:

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