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Nitella [24]
3 years ago
9

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

Mathematics
1 answer:
tatiyna3 years ago
8 0

Answer:

Choose the 8th row of Pascal's triangle to get the sequence:

1

,

7

,

21

,

35

,

35

,

21

,

7

,

1

Write the powers of

2

in ascending order up to

2

7

as a sequence:

1

,

2

,

4

,

8

,

16

,

32

,

64

,

128

Multiply the two sequences together to get:

1

,

14

,

84

,

280

,

560

,

672

,

448

,

128

Then:

(

x

+

2

y

)

7

=

x

7

+

14

x

6

y

+

84

x

5

y

2

+

280

x

4

y

3

+

560

x

3

y

4

+

672

x

2

y

5

+

448

x

y

6

+

128

y

7

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Answer:

B.

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Answer:

-5

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First, distribute the 2 to the 3, -9, and 5. You will get 6 + 6 - 18 + 10 + (-9). Then, you can start from the beginning and work through combining the terms. The original equation is in bold after every step.

6 + 6 - 18 + 10 + (-9)

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6 0
3 years ago
The y-intercept of the function f(x) = x2+3x+2
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Question

The y-intercept of the function f(x) = x2+3x+2

Answer:

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5 0
2 years ago
5 a. 32% of 881
ira [324]

Answer:

Hope these helps

Step-by-step explanation:

5 a. 32% of 881 = 281.92

5 b. 39% of 719 = 280.41

6 a. 35% of 441 = 154.35

6 b. 67% of 429 = 287.43

7 a. 21% of 358 = 75.18

7 b. 47% of 6 =2.82

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8 b.

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4 0
3 years ago
If |AB| / |DE|=7/5 then what is |AD| / |CD|?DE is parallel to AB
Dmitriy789 [7]

Answer: AD/CD = 2/5

Explanation:

Triangle ABC is similar to triangle DEC on the basis of AA(Angle angle)

Recall, if 2 triangles are similar, it means that the ratio of their corresponding sides are equal. Thus,

AB/DE = BC/EC = AC/DC

From the information given,

AB/DE = 7/5

Thus,

AC/DC = 7/5

AD + CD = AC

(AD + CD)/DC = 7/5

AD/DC + CD/DC = 7/5

AD/DC + 1 = 7/5

AD/DC = 7/5 - 1

AD/DC = 2/5

AD/CD = 2/5

4 0
9 months ago
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