What is the binomial expansion of (2x – 3)5? (2x)5 – 15(2x)4 + 90(2x)3 – 270(2x)2 + 405(2x) – 243 (2x)5 + 15(2x)4 – 90(2x)3 + 270(2x)2 – 405(2x) + 243 (2x)5 + 15(2x)4 + 90(2x)3 + 270(2x)2 + 405(2x) + 243 2(x)5 – 30(x)4 + 180(x)3 – 540(2x)2 + 810(x) – 243

Answers

Answer 1

Answer:

c

Step-by-step explanation:

just got it correct

Answer 2

The value of binomial expansion of expression (2x - 3)⁵ is,

⇒ (2x)⁵ – 15(2x)⁴ + 90(2x)³ – 270(2x)² + 405(2x) – 243

We have to given that;

The expression is,

⇒ (2x - 3)⁵

Now, We know that;

The formula of binomial expansion is,

⇒ (x + y)ⁿ = (ⁿ₀) xⁿy⁰ + (ⁿ₁) xⁿ⁻¹y¹ + (ⁿ₂) xⁿ⁻²y² + ...... + yⁿx⁰

Hence, The value of binomial expansion of (2x - 3)⁵ is,

⇒ (2x - 3)⁵

⇒ (2x + (- 3))⁵

⇒ (2x)⁵ – 15(2x)⁴ + 90(2x)³ – 270(2x)² + 405(2x) – 243

Thus, The value of binomial expansion of expression (2x - 3)⁵ is,

⇒ (2x)⁵ – 15(2x)⁴ + 90(2x)³ – 270(2x)² + 405(2x) – 243

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Related Questions


Naomi has earned $63 mowing lawns the past two days. She worked 1 hours yesterday and 3 hours
2
today: If Naomi is paid the same amount for every hour she works, how much does she earn per hour to
mow lawns?
Naomi earns S
per hour

Answers

Answer:

15.75 per hour

Step-by-step explanation:

$63/4 Hours = 15.75

Deductive reasoning uses all of the following to draw logical conclusions except:

A.) Rules
B.) Laws
C.) Patterns
D.) Facts

Answers

Answer:

Patterns

Step-by-step explanation:

Deductive reasoning is used to prove conjectures to be true

Answer:

patterns

Step-by-step explanation:

Deductive reasoning is a simple form of arriving at a conclusion by joining two or more pieces of information. Deductive reasoning is used to prove conjectures to be true.

Teresa is making sock puppets just like the one in the photo. If she has 53 buttons and how many puppets can she make?

Answers

Answer:

How much buttons is on it.

Step-by-step explanation:

If three you can make 17 puppets.

Show the check. 3B -12/3B + 12 = -2 + 1B + 6
The solution to this problem is B=4
But I don’t know how to check the answer, please help and explain, PLEASE!

Answers

Answer:

i got 4

Step-by-step explanation:

thats all i could tell u i don't know how to explain it nor check it but i got 4 so thats all i can tell u bestie sorry

Please help me, I really need help

Answers

Answer:

23

Step-by-step explanation:

Answer:

23 games.

Step-by-step explanation:

According to the graph, there are 17 whistles, where each whistle counts as 2 games.

17 * 2 = 34 games in Kylie's first 6 months.

She worked a total of 45 games in the entire year.

45 - 34 = 11 games.

Therefore, Kylie worked 11 games for the rest of the year.

They are asking how many MORE games did she work in the first 6 months than she did during the rest of the year.

34(first 6 months) - 11(rest of the year) = 23 games more.

Find the x- and y-intercepts of the graph of the linear equation 2x+3y=12

Answers

Answer:

x-intercept= 6

y-intercept= 4

Step-by-step explanation:

Solve for x first then solve for y.

If you can make my answer brainliest that would be much appreciated. Thanks!

The x- and y-intercepts of the linear equation

2x + 3y = 12 are (6, 0) and (0, 4).

What is a linear equation?

A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.

Given, A linear equation 2x + 3y = 12.

To obtain the x-intercept we'll make y = 0 in the equation which is,

2x + 3(0) = 12.

2x = 12.

x = 6.

So, The x-intercept is (6, 0).

To obtain the y-intercept we'll make x = 0 in the equation which is.

2(0) + 3y = 12.

3y = 12.

y = 4.

So, The y-intercept is (0, 4).

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What is the length of BC?
A) 9 units
B) 11 units
C )15 units
D) 16 units

Answers

Answer:it’s a or c

Step-by-step explanation:

Hope this helped have a good day stay safe

Answer:

C. 15 units

Step-by-step explanation:

I'm sorry if this is a late answer but I hope other people can find this helpful :)


Which inequality represent the statement: John is at least 5 feet tall.

Answers

Answer:

[tex]h\geq 5 \text{ feet}[/tex]

Step-by-step explanation:

Considering John's height as [tex]h[/tex], saying that his height is at least 5 feet tall, it implies that the lowest height for John is [tex]h=5[/tex]

So, inequality is

[tex]h\geq 5 \text{ feet}[/tex]

Yes sirrrrrrrrrrrrrrrrrrrr

9x - 60 = 18 + бх
What value of x makes this equation true?

Answers

Answer: x=26

Step-by-step explanation: first you would subtract 6 from both sides.

Next, you would add 60.

Lastly, you would divide both sides by 3.

So your answer is 26.

Answer:

x=26

Step-by-step explanation:

step 1: simplify both sides of the equation

step 2:subtract 6x from both sides

step3:add 60 to both sides

step4:divide both sides by 3

In circle C what is angle 2

Answers

Answer:

33 degrees.

Step-by-step explanation: Half of a circle is 180 degrees. If we view the half of circle with angle C on it we can see the other part of the half of circle is 147 degrees. Since we know half a circle is 180 degrees, we subtract our known variable from 180 to get our unknown angle C, 33 degrees.

Which one is right *Will make BRAINLEST*

Answers

pretty sure it’s the first one

Help me or give me answer key plz I’m doing Desmos Quadratic Transformations – Part 1 I’m dum

Answers

Answer:

While the slider moves to the right the point change also. You can see that the points will decrease and increase again.

WILL’s girls’ basketball team played lost 12 games which is 25% of the games they played for the season. How many games did they play in all?

Answers

Answer: 48 games
Explanation:
If the girls only play 25% in total it would be 12.5 as a decimal

I need this answer ASAP!!

Answers

Answer:

It is either 7.62m or 10m

Step-by-step explanation:

Eduphoria

Answer:

7.62 m

Step-by-step explanation:

Pythagorean theorem, 3^2+7^2=58

√58 is 7.62

URGENT!!! WILL MARK BRAINLIEST!
Find the measure of Angle DBE then find the measure of ∠ABD?

Answers

Answer:

m<DBE =50°

m<ABD=150°

Step-by-step explanation:

Because of Straight Angles, All the angles will add up to 180 degrees

Let x be m<DBE

40+x+70+20=180

x+130=180

x=50

m<DBE will be 50 degrees

To find the m<ABD, we add m<FBA, m<FBE, m<DBE.

70+50+30=150

m<ABD = 150

Answer:

angle DBE=

Step-by-step explanation:

We know that angle ABE is a right angle because 70+20=90. Therefore angle CBE is also a right angle.

Now, 90-40=50 (angle DBE's measure)

Based on this, we can know that 20+70+50=140. Angle ABD is 140 degrees.

HTH :)

Please show your work for this question

Answers

Answer:

22.4

Step-by-step explanation:

A car is driving down the road and goes 500 miles in 10 hours.

So,

d = 500 miles = 804672 metres

t = 10 hours = 36000 minutes

∴ v = d ÷ t

v = 804672 ÷ 36000

v = 22.352

∴ v = 22.4 m/s

Thus, His Velociy was 22.4 m/s

-TheUnknownScientist

please help, thanks. hdjsiejebehejsjdhdhdbdbdbdhdhdhhdndbdjdjdjdjdnd sorry have to get 20 characters to ask the question

Answers

Answer:

Angles E and G are CONGRUENT to each other because they are VERTICAL angles

Find the missing length in the image below. Will give brainliest!!!

Answers

Answer:

I think the answer is 169

evaluate 60.81 - (-57.6)​

Answers

118.41 that is the answer

Find the Valué of X when lines W and V are parallel.



A. 15.5


B. 17


C. 23.25


D. 29.5

Answers

The answer is C. 23.25

In the figure, PR = 15x – 11 and PQ = 3x + 6. Find QR in terms of x.

Answers

Answer: 12x - 17

Step-by-step explanation:

To find QR subtract PQ from PR

15x-11 -(3x+6) ---> 15x - 11 - 3x -6 = 12x -17

While mining, Nancy found a large metal bar that contained 38 pounds of gold. Nancy also determined that the bar was 95% gold. What was the total weight of the metal bar in pounds?

Answers

Answer:

56%

Step-by-step explanation:

alright guys last one for today :))) plzz help

Answers

Answer:

o noooo why

Step-by-step explanation:

Identify each angle as an inscribed angle or a central angle.

Answers

Answer:

∠AFE is an inscribed angle because the vertex lies on the edge of the circle

∠DOB is a central angle because the vertex lies at the center of the circle

∠HJG is an inscribed angle because the vertex lies on the edge of the circle

Can someone please help me with all the questions?

Answers

Answer:

Here you go. It was much simpler than it looked.

Explanation:

[tex]Start\\ a^{2}+b^{2}=c^{2}\\ 9^{2}+12^{2}=c^{2}\\ 81+144=c^{2} \\ 225 = c^{2} \\ \sqrt{225} = \sqrt{c}^{2}\\ 15 = c\\ c = 15[/tex]

Consider Brainliest! Hope I helped!

Graph the linear equation 7x - 3y = -21.

Answers

Answer:-21

Step-by-step explanation:

Answer: ok...

Step-by-step explanation:

Rhian sat a Maths test and an English test. In the Maths test she scored 14/17. In the English test she scored 31/39

Answers

what is the question?
MATH- 14x100/17= 82.3%
LA- 31x100/39 = 79%

82.3%>79%
She did better in the math class.

Which of the tables is a function?
PLEASE HELP
15 POINTS
or Brainlist answer!!!

Answers

Answer:

I say C is your best answer because it might be a typo

What is the value of x in the figure below?





Answers

Answer:

hi I don't know the answer of this question but I hope anyone will answer your this question as fast as possible and iam taking free points because I needed to ask one question from someone that's why I really sorry and thank you so much for free points

Can I get help finshing all these qustions 1. -4(6) 2. -21-8) 3. 121-4) 4. -6(5) 5. -10(-9) 6. -(5) 7. (-5) 8. -30(5) 9. 20(-6) 10. -14(-6) 11. (-13)2 12. –7(15) 13. -3(4) 14. 7(-3) 15. 3(-3) 16. -2(-10) 17. (-5)(-3)(4) 18. -3(-3)(4) 19. -3(-5) 20. 5(-3) 21. 7(-5)(4) 22. -2(-5)(-3) 23. – 10(-3) 24. -21-3)

Answers

Answer:

1. -4(6)= -24

2.-21-8= -29

3. 121-4 =117

4. -6(5) =-30

5. -10(-9)= 90

6. (-5)7= -35

7. (-5)8= -40

8. -30(5)= -150

9. 20(-6)= -120

10. -14(6)= -84

11. (-13)2 = -26

12. –7(15) = -105

13. -3(4) = -12

14. 7(-3) = -21

15. 3(-3) = -9

16. -2(-10) = 20

17. (-5)(-3)(4) = 60

18. -3(-3)(4)= 36

19. -3(-5) = 15

20. 5(-3) = -15

21. 7(-5)(4) = -140

22. -2(-5)(-3)= -30

23. – 10(-3)=30

24. -21-3= -24

Explanation:

We have followed the rules in adding and subtracting negative as well as positive values on the number line.

When adding two negative values, the result is a negative value.

When adding a negative and positive value, the result is either a positive or negative value depending on if the negative value is bigger or smaller than the positive value

When multiplying two negative values, the result is a positive value

When multiplying one negative and one positive value, the result is a negative value

To make you understand addition and subtraction of negative and positive numbers better, let us use a simple analogy. Assuming you are owing five oranges(-5) and you are only able to give two oranges(+2), you will still be owing 3 oranges(-3). Assuming also that you are owing 6 oranges(-6) and you are able to give 8 oranges(+8), you would have given excess oranges and would be owed two oranges(+2). Hence the results above.

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