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Sergeu [11.5K]
3 years ago
10

The coefficients corresponding to k = 0, 1, 2, ..., 6 in the expansion of (x + y)^6 are _____.

Mathematics
2 answers:
Kryger [21]3 years ago
5 0
Using the triangle of pascal we have that the expression equivalent to (x + y) ^ 6 is given by:
 x ^ 6 + 6x ^ 5y + 15x ^ 4y ^ 2 + 20x ^ 3y ^ 3 + 15x ^ 2y ^ 4 + 6xy ^ 5 + y ^ 6
 Therefore, the coefficients of the expansion are given by:
 1, 6, 15, 20, 15, 6, 1
 Answer:
 
The coefficients corresponding to k = 0, 1, 2, ..., 6 in the expansion of (x + y) ^ 6 are 1, 6, 15, 20, 15, 6, 1
Ksivusya [100]3 years ago
5 0

Answer:

1, 6, 15, 20, 15, 6, 1

Step-by-step explanation:

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If 112 people attend a concert and tickets for adults cost $2.25 while tickets for children cost $and total receipts for the con
Brut [27]

Answer:

42 child and 70 adult

Step-by-step explanation:

Let a = number of adult tickets

c = number of child tickets

a+c = 112

2.25a + 1.75c = 231

Solve the first equation for a

a = 112-c

Substitute this into the second equation

2.25(112-c) + 1.75c = 231

Distribute

252 - 2.25c +1.75c = 231

Combine like terms

252 -.5c = 231

Subtract 252 from each side

252-252 -.5c = 231-252

-.5c = -21

Divide each side by -.5

-.5c/-.5 = -21/ -.5

c = 42

Now can find a

a = 112-c

a = 112-42

a = 70

4 0
3 years ago
Read 2 more answers
A group of winning ticket holders share equally 90,000,000 lottery. Before the money is divided, three more winning ticket holde
Kruka [31]

Let's assume

people were in the original group of winners as x

A group of winning ticket holders share equally 90,000,000 lottery

Before the money is divided, three more winning ticket holders are declared

so, total number of winning tickes =x+3

each persons share is reduced to 5,000,000

so, total money =5,000,000*(x+3)

and this must be equal to total money

5000000(x+3)=90,000,000

now, we can solve for x

and we get

x+3=18

Subtrac both sides by 3

x+3-3=18-3

x=15

so,

number of people were in the original group of winners is 15 ...........Answer

6 0
3 years ago
Pam’s grandfather has a garden that measures 4 feet by 6 feet. How much will the area be increased if he doubles the length and
ExtremeBDS [4]

Answer:

The area will be increased by 72 feet.

Step-by-step explanation:

4 x 6 = 24

Now we have to double those lengths.

We know that 4 x 2 is 8 and 6 x 2 is 12.

So the new equation would be: 8 x 12 = 96

Now we take the original area and subtract it by the new area.

96 - 24 = 72

Hope this helps:)

7 0
2 years ago
Consider the plane, T, and three collinear points (but not coplanar) points P, Q, and W.
Montano1993 [528]

Answer:

vvv dvw

Step-by-step explanation:

dnbvfv nb f

5 0
3 years ago
-3/5*1/8 as fraction as the anwers
ahrayia [7]

How to get answer:

\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}\\=-\frac{3\cdot \:1}{5\cdot \:8}\\\mathrm{Multiply\:the\:numbers:}\:3\cdot \:1=3\\=-\frac{3}{5\cdot \:8}\\\mathrm{Multiply\:the\:numbers:}\:5\cdot \:8=40\\=-\frac{3}{40}

4 0
3 years ago
Read 2 more answers
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