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madam [21]
2 years ago
6

What is the binomial expansion of (x+2y)^7

Mathematics
1 answer:
Sonja [21]2 years ago
3 0

Answer:

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Which pair shows equivalent expressions?
Dmitry_Shevchenko [17]

Which pair shows equivalent expressions?

A.2(2/5x + 2)=2 2/5x + 1

B.2(2/5x + 2)=4/5x + 4

C.2(2/5x + 4)=4/5x + 2

D.2(2/5x + 4)=2 2/5x + 8

Solution:

2(\frac{2}{5}x + 2)

Let us distribute 2 inside the parenthesis.

That is, we use distributive property:

a(b+c)=ab+ac

2(\frac{2}{5}x + 2) =\frac{2*2}{5}x+2*2

So, 2(\frac{2}{5}x + 2) =\frac{4}{5}x+4

Answer:Option (b)

2(\frac{2}{5}x+4)

Applying distributive property, a(b+c)=ab+ac

2(\frac{2}{5}x+4) =2*\frac{2}{5} x+2*4

2(\frac{2}{5}x+4) =\frac{2*2}{5} x+2*4

2(\frac{2}{5}x+4) =\frac{4}{5} x+8

So, Option (B) is correct.

8 0
3 years ago
Read 2 more answers
Tim is clearing brush from a large piece of land. The table shows how many acres he has cleared over time. Tim clears the same a
Elena-2011 [213]

Answer:

first box is 3 and second is 2 2/3

4 0
3 years ago
For each of the following sequences, • Give a formula for the nth term in the sequence, • Give a recursive definition for the se
Andrew [12]

Answer:

(a)n^{th} = n

f(1) = 1

f(n) = f(n-1) + 1

(b)n^{th} = 2^{n-1}

f(1) = 1

f(n) = f(n-1) * 2

(c)n^{th} = n!

f(1) = 1

f(n) = f(n-1) * n

Step-by-step explanation:

(a) This is a sequence of consecutive number

n^{th} = n

f(1) = 1

f(n) = f(n-1) + 1

(b) This is a sequence of 2 to the power of n - 1. The next number is twice time of this number

n^{th} = 2^{n-1}

f(1) = 1

f(n) = f(n-1) * 2

(c) This is factorial sequence. Where the next number is this number multiplied by n^{th}

n^{th} = n!

f(1) = 1

f(n) = f(n-1) * n

5 0
2 years ago
Can a line segment have two midpoints ?
zzz [600]
Actually, no they cannot. The midpoint is the single point at the very center of the line segment. Since no segment can have multiple centers, they cannot have more than a single midpoint. Sorry :3

Hope this helped!! :D
5 0
2 years ago
Read 2 more answers
How can Ari simplify the following expression? StartFraction 5 Over a minus 3 EndFraction minus 4 divided by 2 + StartFraction 1
Zielflug [23.3K]

Answer:

-\frac{8}{3}

Step-by-step explanation:

Given

\frac{5}{-3} - \frac{4}{2} + \frac{1}{-3}

Required

Simpify

The very first step is to take LCM of the given expression

\frac{-10 -4 - 2}{6}

Perform arithmetic operations o the numerator

-\frac{16}{6}

Divide the numerator and denominator by 2

-\frac{16/2}{6/2}

-\frac{8}{3}

The expression can't be further simplified;

Hence, \frac{5}{-3} - \frac{4}{2} + \frac{1}{-3} = -\frac{8}{3}

8 0
2 years ago
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