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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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What is the compound interest on investing $600 for 3 years at 7% per annum? ​
Marysya12 [62]

Answer:

About $735.03

Step-by-step explanation:

The compound interest formula is A=P(1+r/n)^nt

P is the original amount (principal)

r is the rate

n is the number of times compounded (1 for this one since it is annual)

and t is the time compounded

5 0
3 years ago
Find the difference: (20x + 3) - (7x - 5) *
OlgaM077 [116]

Answer:

27x - 2

Step-by-step explanation:

First off, we use commutative property to get the like terms together.

(20x + 7x) - (3-5)

Now we can solve the equations inside the parenthesis.

27x - (-2)

Because these aren't like terms, this is as far as we can go. Meaning 27x - 2

is out answer.

3 0
2 years ago
Solve the compound inequality.<br> 5 &lt; 2x - 1 &lt; 9<br><br> Show your work
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Answer:

3<x<5

Step-by-step explanation:

5<2x-1<9

Add 1 on all the sides because of the inverse operation.

Which is 6<2x<10

The divide 2 on all sides to isolate x.

Which is 3<x<5.

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3 years ago
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the total cost is $86.40

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