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barxatty [35]
3 years ago
15

What is the second term in the binomial expansion of (2r-3s)12?

Mathematics
2 answers:
elena-14-01-66 [18.8K]3 years ago
7 0

Answer:

Its A.

Step-by-step explanation:

Reptile [31]3 years ago
5 0
(a+b)^n=\displaystyle\sum_{k=0}^n\binom nka^{n-k}b^k

where \dbinom nk=\dfrac{n!}{k!(n-k)!}. The second term of the expansion occurs when k=1.

So the second term of the expansion of (2r-3s)^{12} is

\dbinom{12}1(2r)^{12-1}(-3s)^1=12(2r)^{11}(-3s)=-73728r^{11}s
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What is the root of -9 ? Thank you for help
stiks02 [169]
I don't think this is possible...

But if you mean 9 then the root is 3
7 0
3 years ago
JIMMMMMM
Vitek1552 [10]
>= means greater than or equal to
<= means less than or equal to

---------------------------------------------

Part A

The graph of y >= -3x+3 will have a solid boundary line and the shading will be above the boundary line.

The boundary line y = -3x+3 has a negative slope so it moves down as you read it from left to right. It goes through the points (0,3) and (1,0)

--------------

The graph of y < (3/2)x - 6 will have a dashed or dotted boundary line. The shading is below the boundary.

The graph y = (3/2)x-6 goes through the two points (0,-6) and (2,-3)

--------------

If you graph both y >= -3x+3 and y < (3/2)x - 6 together, you get what you see in the attached image. This solution shaded region is the result of the overlapping prior shaded regions. 

---------------------------------------------

Part B

Plug (x,y) = (-6,3) into each inequality to see if we get a true inequality or not

For the first inequality we have
y >= -3x+3
3 >= -3*(-6)+3
3 >= 18+3
3 >= 21
which is false. The value 3 is not larger or equal to 21. So right off the bat we know that (-6,3) is NOT a solution. It is NOT in the solution region.

Let's check the other inequality just for the sake of completeness
y < (3/2)x - 6
3 < (3/2)*(-6) - 6
3 < -9 - 6
3 < -15
this is also false. The value -15 is smaller than 3, since it is to the left of 3

We're given more evidence that (-6,3) is NOT in the solution area. It is outside of both shaded areas. 

7 0
3 years ago
Read 2 more answers
Simply: 200+(20-4)-2×3​
alexandr1967 [171]

Answer:

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Step-by-step explanation:

200+(20-4)-2x3

first you'd do 20-4= 16

then you'd do 2x3=6

next you'd 16-6=10

finally 200+10=210

5 0
3 years ago
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ANSWER :

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-x - 2 + 4

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8 0
3 years ago
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3/8 of the muffin is left
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