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9966 [12]
3 years ago
9

Coefficient of x^2 in expansion of the binomial theorem (2x-1)^4 show your work

Mathematics
1 answer:
tekilochka [14]3 years ago
4 0

Answer:

24

Step-by-step explanation:

If you use Pascal's triangle, which I did, you will look at the 5th row of the triangle which contains the numbers 1, 4, 6, 4, 1

If we expand using a = 2x and b = -1, then the expansion looks like this:

1(2x)^4(-1)^0+4(2x)^3(-1)^1+6(2x)^2(-1)^2+4(2x)^1(-1)^3+1(2x)^0(-1)^4

If you simplify all that down by multiplying, you'll get

16x^4-32x^3+24x^2-8x+1

If you don't know how to use Pascal's triangle, you need to learn.  It's so very cool!

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Ms.beatly Is trying to get healthy and starts running in the morning.She is able to run 5 miles in 45 minutes how many how many
ElenaW [278]

Answer:

1. 9 minutes

Step-by-step explanation:

1. If she runs 5 miles in 45 minutes, you have 5 miles = 45 minutes. If you divide both sides of this ratio by 5, you get 1 miles = 9 minutes

2. Find out how many each person sells per week:

Emily: 4 boxes = 2 weeks

divide both sides by 2

2 boxes = 1 week

Jose: 9 boxes = 3 weeks

divide both sides by 3

3 boxes = 1 week

This means that jose sells more, because 3 boxes > 2 boxes

6 0
3 years ago
If UV = 21 and UX = 13, what Is UW?​
Nimfa-mama [501]

Answer:

17

Step-by-step explanation:

3 0
3 years ago
Write the coordinates of the vertices after a reflection across the x-axis.
Stells [14]

Answer:

S' (-6, 6)

T' (2, 6)

U' (2, 0)

V' (-6, 0)

Step-by-step explanation:

To reflect the rectangle over the x-axis, think of it as flipping it over the x-axis. On the graph, count the units from V to S, it's 6 units. So, from the x-axis, count 6 units up from V. S would lie on -6, 6. Do the same for W to T. T would lie on (2, 6). The remaining coordinates U and V don't change because it is <em>already </em>on the x-axis. <em> </em>

6 0
3 years ago
What is the ratio of the number of sides of a quadrilateral to the number of sides of a pentagon?
IgorC [24]
4:5 because a quadrilateral has 4 sides and a pentagon has 5 sides
3 0
3 years ago
No is divisible by 7 if n is divided by 2 3 4 5 the remainder is 1 what is the smallest value that n could b
kvv77 [185]

Answer: 301

Step-by-step explanation:

Since, The LCM of numbers given numbers 2 ,3,  4 and 5 is 60.

Thus, the number that gives 1 as reminder and is the multiple of 7 is  60 n + 1

Where n is any positive integer,

Since, For n = 5,

The number is, 60\times 5 + 1 = 300 + 1 = 301

Which is divisible by 7.

Thus, the required number is 301.

Note : For n = 1, 2 3 and 4, numbers are 61, 121, 181 and 241

But they are not the multiple of 7.

7 0
3 years ago
Read 2 more answers
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