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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

Step-by-step explanation:

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3 years ago
0.5, 1 1/ 4, 0.25, 3/ 8
Natalka [10]

Answer:

Are you supposed to change decimals to fractions and fractions to decimals?

If yes,

0.5 = 1/2

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6 0
3 years ago
What is the solution of -83=b/4? (with work please)
Dvinal [7]

Hi!

<h3>We need to isolate b on one side. </h3>

<em>Multiply by 4 on both sides. </em>

-83 * 4 = b/4 * 4

<u>-332 = b</u>

<h2>The answer is b = -332</h2>

<em>To check your answer, put in the value of b. </em>

-83 = -332/4

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<u>This equation is correct. </u>

Hope this helps! :)

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8 0
3 years ago
Read 2 more answers
Kaylin bought a soda and two bags of popcorn for $3.00 . HER brother bought three sodas and a bag of popcorn for $6.50
Veseljchak [2.6K]

Answer: price of soda (a) = $2 and price of popcorn (b) = $0.5

Step-by-step explanation:

Let's denote soda = a and popcorn = b

Kaylin bought a soda and two popcorn, writing out an equation for this would be

a + 2b = $3...........equation (i)

And her brother bought 3 sodas and 1 popcorn.

3a + b = $6.50..........equation (ii)

From equation (i),

a + 2b = 3

Making a the subject of formula,

a = 3 - 2b......equation (iii)

Using substitution reaction, put equation (iii) into equation (ii)

3(3 - 2b) + b = $6.50

9 - 6b + b = 6.50

9 - 5b = 6.50

Collecting like terms,

5b = 9 - 6.50

Divide both sides by 5,

b = 5.

Put b = 5 into equation (i)

a + 2(0.5) = 3

a + 1 = 3

a = 2

Therefore, the price of soda is $2 per one and $0.5 for each popcorn.

4 0
3 years ago
A rectangle has an area of 24 square units and a side length of 2 3/4 units. Find the other side length of the rectangle. Show y
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