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Kobotan [32]
3 years ago
8

Please help with numbers 6,7,8 will brainlist

Mathematics
1 answer:
Naily [24]3 years ago
3 0

Answer:

6. -3

7. 16

8. -39

Step-by-step explanation:

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Calculate the coefficient of x4y18 in the expansion of (x − y)22
Oksana_A [137]
Binomial theorem:

(x-y)^n=\displaystyle\sum_{k=0}^n\binom nkx^k(-y)^{n-k}

The term with x^4y^{18} corresponds to n=18+4=22 and k=4 (or k=18, since \dbinom nk=\dbinom n{n-k}).

So, the coefficient of this term is

\dbinom{22}4(-1)^{18}=\dbinom{22}4=\dfrac{22!}{4!(22-4)!}=7315
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Step-by-step explanation:

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2 years ago
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Draw a factor tree the prime factorization of 45 and 90 in the space provided below
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 /  \                                       /  \
5  9                                     45  2
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 5x3x3                                   / \  
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3 0
3 years ago
How do i do this?????????
Gnom [1K]

Answer:

x≥5

Step-by-step explanation:

-1 ≥ x/-5

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I'm not sure but I tried.

For the graph: you can draw a line about 15cm, put 0 at the start then after 5cm put 5 then 10 at 10cm and 15 at the end. At 5 put • that's the starting and go all the way to 15 and add > to show that the line continues. I'm not good at explaining but I hope it helps.

8 0
3 years ago
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