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Novosadov [1.4K]
2 years ago
12

Find the 5th term in the expansion of (a + b)º in simplest form.

Mathematics
1 answer:
Tamiku [17]2 years ago
7 0

Answer:

5^{th} term  = 126a^5b^4

Step-by-step explanation:

\left(a+b\right)^n=\sum _{i=0}^n\binom{n}{i}a^{\left(n-i\right)}b^i\\\\(a + b)^9 =\sum _{i=0}^9\binom{9}{i}a^{\left(9-i\right)}b^i\\\\

       =a^9 + 9a^8b + 36a^7b^2 + 84a^6 b^3 + 126a^5b^4+ 126a^4b^5+84a^3b^6+ 36a^2b^7+ 9ab^8+b^9

5^{th} term  = 126a^5b^4

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Need help -5(1+2k)-8(-4+5k)
Nataliya [291]

Answer:

27 - 50k

Simplify

1. Distribute

-5 ( 1 + 2k ) - 8 ( -4 + 5k )

-5 - 10k - 8 ( -4 + 5k )

2. Distribute

-5 - 10k - 8 ( -4 + 5k )

-5 - 10k + 32 - 40k

3. Add the numbers

-5 - 10k + 32 - 40k

27 - 10k - 40k

4. Add the same term to both sides of the equation

27 - 10k - 40k

27 - 50k

6 0
3 years ago
Please help I’ll mark you as brainliest if correct!
Darya [45]

Answer:

A is 4

Step-by-step explanation:

A _ 8 _ _ _ _ _ _ _ _ 8 _ 6

A _ 8 _ _ _ _ _ _ _ _ 8 4 6

A _ 8 _ _ _ _ _ _ _ 6 8 4 6

A _ 8 _ _ _ _ _ _ 4 6 8 4 6

A _ 8 _ _ _ _ _ 8 4 6 8 4 6

A _ 8 _ _ _ _ 6 8 4 6 8 4 6

A _ 8 _ _ _ 4 6 8 4 6 8 4 6

A _ 8 _ _ 8 4 6 8 4 6 8 4 6

A _ 8 _ 6 8 4 6 8 4 6 8 4 6

A _ 8 4 6 8 4 6 8 4 6 8 4 6

A 6 8 4 6 8 4 6 8 4 6 8 4 6

4 6 8 4 6 8 4 6 8 4 6 8 4 6

A is 4

Hope this helps!

4 0
2 years ago
Read 2 more answers
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2 years ago
How many terms are to be considered in the series with first term - 3 and common ratio r = -4 for the sum to exceed 1507​
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Step-by-step explanation:

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7 0
3 years ago
Kela wants to visit a friend who lives 8 kilometres away. She'll ride the Subway as she can before walking the rest of the way.
Alenkinab [10]

Answer:

Kela will be able to travel for 7 stops before her money runs out.

Step-by-step explanation:

Since Kela wants to visit a friend who lives 8 kilometers away, and she'll ride the subway as she can before walking the rest of the way, and she needs to buy an access pass that costs $ 5.50 and there is also a fee of $ 1.25 for each stop, if Kela doesn't want to spend more than $ 15 on the trip, to determine the largest number of stops she can afford, the following calculation must be performed:

(15 - 5.5) / 1.25 = X

9.5 / 1.25 = X

7.6 = X

Therefore, Kela will be able to travel for 7 stops before her money runs out.

4 0
3 years ago
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