expand the square of a binomial (y^7-11)^2​

Answers

Answer 1

Answer:

[tex]y^{14} -22y^7+121[/tex]

Step-by-step explanation:

This equation should help:

[tex](a+b)^2=a^2+2ab+b^2[/tex]

[tex](y^{7}-11)^2\\\\=y^{14} +2*y^7*-11+11^2\\\\=y^{14} -22y^7+121[/tex]

Answer 2

Answer:

[tex] {y}^{14} - 22 {y}^{7} + 121[/tex]

Step-by-step explanation:

[tex](y {}^{7 } - 11)( {y}^{7} - 11)[/tex]

First terms,

[tex]{y}^{14} [/tex]

Outer,

[tex] {y}^{7} \times - 11 = - 11 {y}^{7} [/tex]

Inner,

[tex] {y}^{7} \times - 11 = - 11 {y}^{7} [/tex]

Last,

[tex] - 11 \times - 11 = 121[/tex]

Add all terms up

[tex] {y}^{14} - 22 {y}^{7} + 121[/tex]


Related Questions

determine which of the following pairs of fractions are equivalent.
1)4/5 and 16/20
no links or photo​

Answers

You only wrote one option, but luckily, those two fractions ARE equivalent!

We know that because if you multiply the denominator AND numerator by 4, you get 16/20.

Answer:

explanation

Step-by-step explanation:

just multiply the numerator and the detonator by 4 and u get 16/20

PLEASE HELP!
In 2-3 sentences describe why the only way an infinite geometric series has a sum is if |r| < 1.

Answers

the term r^n will equal to zero because and number < 1 that is raise to the power infinity the answer is zero that is why in a infinite geometric series, sum = a / 1 - r.
hope this helps

Can someone please help me find the area of the figure.

Answers

Answer:

area = 41 ft²

Step-by-step explanation:

area = (3x3) + (4x8) = 41 ft²

True or False: When conducting a survey of a group of people, you must interview every person in that population.

Answers

The answer to this is true

Please help very urgent

Answers

Answer:

330 degrees

Step-by-step explanation:

look at 4th quadrant of unit circle

(cos,sin)

(sqrt3/2,-1/2)=330

.15 x (4.3 - 2.417 )

Answers

Answer: .15 x 1.883 = 0.28245

Answer:

28.24500

Step-by-step explanation:

How are you today? Have you had anything to eat? What's ur fav color? I'm just here to talk. I hope everyone has been staying safe! ​

Answers

Good. What about you, bro? Actually am fasting cuz it’s Ramadan

Answer:

How are you today?

im good

Have you had anything to eat?

hot pocket

What's ur fav color?

Blue and Black

I'm just here to talk. I hope everyone has been staying safe! ​

Step-by-step explanation:

diameter 32 inches what is the raidus

Answers

Radius equals to diameter dived by 2

a lorry is travelling at 13.5m/s along a stretch of road​

Answers

Answer:

Proved

Step-by-step explanation:

This question is incomplete. The complete details are:

[tex]v = 13.5m/s[/tex] --- speed of the lorry

[tex]v_2 =50km/h[/tex] --- speed limit on the road

Required

Prove that the lorry is within the speed limit

To do this, we simply convert the speed of the lorry to km/h.

So, we have:

[tex]v = 13.5m/s[/tex]

[tex]1m = 0.001km[/tex]

and

[tex]1s = \frac{1}{3600}h[/tex]

So, the expression becomes:

[tex]v = \frac{13.5 * 0.001km}{1/3600h}[/tex]

[tex]v = \frac{0.0135km}{1/3600h}[/tex]

Rewrite as:

[tex]v = 0.0135km/h * 3600[/tex]

[tex]v = 48.6km/h[/tex]

48.6km/h is less than 50km/h (the speed limit).

Hence, the lorry is within the speed limit.

A florist uses 7 red roses for every 4 white roses in her bouquets. Select the ratio of white roses to red roses. Please select 3 answers. 4 : 7
4 to 7
7 to 4
4/7
7/4
7 : 4

Answers

Answer:

Step-by-step explanation:

7 red roses

4 white roses

the answer would be 4 to 7, 4/7, and 4:7

I hope this helps!

A rectangle has a perimeter of 66 inches. The length is 5 inches longer than the width. What is the length of the rectangle?
A.19 in
B.14 in
C.30.5 in
D.28 in

Answers

Answer:

I think that it is A. 19

Step-by-step explanation:

I think it is A. because 19x2=38. 19-5=14, 14x2=28. 28+38=66.

P=66

L=19

W=14

Sorry if I'm wrong.

please help me out, im taking a test. ill give brainliest

Answers

Answer: you are cheating :(?

So I won't help u sorry

Step-by-step explanation:

Which choice is equivalent to the fraction below?
5/16

O A. 5.16
O B. 5 divided 16
O C. 5-16
O D. 16 divided 5

Answers

Answer:

I think A

Step-by-step explanation:

   But im not sure

Which of the following ordered pairs does not lie on the graph of y=log_(2)^x? (1/2, -1) (0, 1) (1, 0)

Answers

Answer:

(0,1)

Step-by-step explanation:

I put it in desmos :)

Answer:

0,1

Step-by-step explanation:

4) If the area of a triangle is
72 square feet and the base is 12 feet, what is the height?
Help ASAP

Answers

Answer:

The height is 12 feet.

Step-by-step explanation:

The formula for area of a triangle is 1/2 ⋅ b (base) ⋅ h (height).

Now let's plug in the numbers.

According to the word problem, the base is 12 feet.

As of now, our equation is: 1/2 ⋅ 12 ⋅ h

The only number times 1/2 that would give you an answer of 72 is 144.

12⋅12 = 144.

This means the height is 12.

And, 1/2 ⋅ 12 ⋅ 12 ⋅ = 72.

Because the area of the triangle is 72, 72 is the number we are looking for.

Therefore, the height is 12.

I really hope this made sense, it was a bit rushed.

When you solve x^2 - 8x + 7 = 0 what is the last step of the equation
before you simplify to get the two answers? *
O x = -4 13
O x = 3 + 4
O x = 4 + 3

Answers

Answer:

x = 1 and x = 7

Step-by-step explanation:

The given equation is [tex]x^2 - 8x + 7 = 0[/tex].

We need to solve the equation.

It is a quadratic equation whose solution is given by :

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

Here, a = 1, b = -8 and c = 7

Put values,

[tex]x=\dfrac{-(-8)\pm \sqrt{(-8)^2-4(1)(7)} }{2(1)}\\\\=\dfrac{8\pm \sqrt{64-28}}{2}\\\\=\dfrac{8\pm 6}{2}\\\\=\dfrac{8+6}{2},\dfrac{8-6}{2}\\\\=7,1[/tex]

So, the values of x are x = 1 and x = 7.

What is 0.36 written as a rational number?

Answers

Answer:

If you mean what is the square root of 36, then the answer is 6.

6 × 6 = 36.

Remeber sqaure root means what two numbers multplied together equal another number. It is irrational when the number doesn't repeat or terminate.

Hope this helps!!

What percent of 315 of 126.

Answers

Answer:

396.9

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

126/315

126/315×100/100=40/100

40

NEED HELP FAST‼️‼️

What are the vertices of Triangle A'B'C' after Triangle ABC is reflected across the y-axis?
A (-5,3), B(-1,-3) and C(2,0)

Answers

Answer:

Step-by-step explanation:

A ' = (-2, -3)

B ' = (0, -3)

C ' = (-1, 1)

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

Explanation:

To apply an x axis reflection, we simply change the sign of the y coordinate from positive to negative, or vice versa. The x coordinate stays as is.

Algebraically, the reflection rule used can be written as

Applying this rule to the three given points will mean....

Point A = (-2, 3) becomes A ' = (-2, -3)

Point B = (0, 3) becomes B ' = (0, -3)

Point C = (-1, -1) becomes C ' = (-1, 1)

The diagram is provided below.

Side note: Any points on the x axis will stay where they are. That isn't the case here, but its for any future problem where it may come up. This only applies to x axis reflections.

The histogram below shows the number of push-ups the students in Hayley's class can do.



Select all of the true statements about the data.

The majority of students can do more than 15 push-ups.
The data distribution is skewed to the right.
More students did 6-10 push-ups than 11-15 push-ups.
The students in Hayley's class can do between 1 and 25 push-ups.
The data distribution is skewed to the left.

Answers

Statements 1, 4, and 5 are true.

You have 15 bottles of coke , you drink 2 bottles a day after a certain amount of days there are 3 bottles left. Which of the following represents the day when you had 3 borrows left

Answers

Answer:

15 - 2x = 3

Step-by-step explanation:

Let x be the amount of days that have passed.

15 - 2x gives the amount at any day number x.

15 - 2x = 3 represents the day when you had 3 bottles left.

The 6th day because 14 bottles is 7 days with 1 left over. So get rid of a day and it will be 6 days

The answer is the 6th day

A chord that is 24 cm long is 4 cm closer to the center of a circle than a chord that is 20 cm long. What is the radius of the circle?

Answers

Answer:

(mkkwkskskwkwskskwkwi

Convert the angle 2π/3 radians to degrees.

Answers

Answer:

2π/3 radians is equal to 120°.

Step-by-step explanation:

In this problem, we need to convert the angle 2π/3 radians to degrees.

The relation radian and degree is given by :

[tex]D=\dfrac{180}{\pi}\times R[/tex]

Substitute all the values,

[tex]D=\dfrac{180}{\pi}\times \dfrac{2\pi }{3}\\\\D=120^{\circ}[/tex]

So, 2π/3 radians is equal to 120°.

For large parties, a restaurant charges a reservation fee of $30, plus $20 per person. The total charge for a party of x people is f(x) = 20x + 30. How will the graph of this function change if the reservation fee is raised to $65 and the per-person charge is lowered to $12?

Answers

30 20$ minutes later I was going there and then go back and forth with the kids to go back and forth and 65$12$ to go back and get a table for

17% off a $35 dresser

Answers

Answer:

Sale Price = $29.05 (answer). This means the cost of the item to you is $29.05. You will pay $29.05 for a item with original price of $35 when discounted 17%. In this example, if you buy an item at $35 with 17% discount, you will pay 35 - 5.95 = 29.05 dollars

Discount of $5.95. You would be paying $29.05

Many freeways have service (or logo) signs that give information on attractions, camping, lodging, food, and gas services prior to off-ramps. These signs typically do not provide information on distances. The article Evaluation of Adding Distance Information to Freeway-Specific Service (Logo) Signs (J. of Transp. Engr., 2011; 78-888) reported that in one investigation, six sites along Virginia interstate high ways where service signs are posted were selected. For each site, crash data was obtained for a three-year period before distance information was added to the service signs and for a one-year period afterward. The number of crashes per year before and after the sign changes were as follows:
Before: 15 26 66 115 62 64
After: 16 24 42 80 78 73
The cited article included the statement A paired t test was performed to determine whether there was any change in the mean number of crashes before and after the addition of distance information on the signs. Carry out such a test. [Note: The relevant normal probability plot shows a substantial linear pattern.] a seventh site were to be randomly selected among bearing service signs, between what values predict the difference in number of crashes to lie?

Answers

Answer:

H0 : μd = 0

H1 : μd ≠ 0

Test statistic = 0.6687 ;

Pvalue = 0.7482 ;

Fail to reject H0.

Step-by-step explanation:

H0 : μd = 0

H1 : μd ≠ 0

Given the data:

Before: 15 26 66 115 62 64

After: 16 24 42 80 78 73

Difference = -1 2 24 35 -18 -9

Mean difference, d ; Σd / n

d = Σx / n = ((-1) + 2 + 24 + 35 + (-18) + (-9))

d = Σx / n = 33 / 6 = 5.5

Test statistic = (d / std / sqrt(n))

std = sample standard deviation = 20.146

Test statistic = 5.5 ÷ (20.146/sqrt(6))

Test statistic = 0.6687

The Pvalue :

P(Z < 0.6687) = 0.7482

At α = 0.05

Pvalue > α ; Hence we fail to reject H0

The data does not suggest a significant mean difference in the average number of accidents after information was added to road signs.

Find the median for the numbers Below
20 22 24 26

Answers

The median is going to be 23.

The median to this answer would be 23

I have been stuck on the problem for so long. please help me:
What is the value of y in the solution set of the system of linear equations shown below?
y= -x + 12
4x - 2y = 36

A- 10
B- 8
C- 6
D- 2

Answers

Answer:

D-2

Step-by-step explanation:

You can use elimination to get the value of y. Move numbers to one side and x and ys to the other side. To use elimination, multiply the first equation with 2. You will get 2x+2y=24. add it with the equation below. y will be eliminated and you will get the value of x. X=10. Plug in x and get the y value. Y=2

Somebody please help me!!!

Answers

Answer:

(-1,6) is where the point would be.

Just a reflection across the y axis.

Answer:

(-6, 1)

Step-by-step explanation:

I rotate 270 degrees means to turn 90 degrees clockwise 3 times, If You rotate once it is in the +x, -y rotate again -x, -y, and the last time is -x +y. Please give brainliest if this is helpful. Sorry if this is confusing :)

The other person did a 180 degrees rotation instead of 270

Question Help
Fund A sells for $15 a share and has a 3-year average annual return of $0.25 a share. The beta value is 1.07.
Fund B sells for $17 a share and has a 3-year average annual return of $0.91 a share. The beta value is 0.77.
Jonquin wants to spend no more than $3600 investing in these two funds, but he wants to obtain at least $80
in annual revenue. Jonquin also wants to minimize the risk. Determine the number of shares of each fund that
Jonquin should buy.
Set up the linear programming problem. Let a represent the number of shares in Fund A, b represent the
number of shares in Fund B, and z represent the total beta value.
Minimize
z=0
subject to
15a + 17b
0.25a +0.91b
a 20, b20.
(Use integers or decimals for any numbers in the expressions. Do not include the $ symbol in your answers.)

Answers

Answer:

sana all may jowa jowain na kita

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