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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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A ferry is travelling at a constant speed back to the dock, as shown in the graph. Which
mario62 [17]

Answer:

c. y = -35*x + 105

Step-by-step explanation:

Lo que demos hacer es calcular los puntos cuando x = 0 y cuando x = 3, es decir el inicio y el fin del recorrido.

Cuando x es igual 0, y = 105, por lo tanto, la función sería:

y = A*x + 105

Cuando x = 3, y = 0, por lo tanto:

0 =  3*A +  105

resolvemos para A:

3*A =  -105

A = -105/3

A =  -35

Por lo tanto la función es:

y = -35*x + 105

es decir, la opción c.

7 0
3 years ago
Help me please please
Alecsey [184]

Answer:

it is 50

Step-by-step explanation:

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6 0
3 years ago
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Answer:

i cant even see properly

Step-by-step explanation:

6 0
3 years ago
If a + b = -5 and x + y = -5, what is 6y + 6x - b - a
Novay_Z [31]
6(x +y) -(a +b) = 6(-5) -(-5)
= -25
5 0
3 years ago
A square is made up of an L-shaped region and three transformations of the region. If the perimeter of the square is 40 units, w
Mila [183]

Answer:

20 units

Step-by-step explanation:

This implies that the square can be divided into four equal L-shaped regions. These regions with respect to transformation forms a square.

Perimeter of the square is 40 units. Since a square has equal length of sides, thus each side of the square is 10 units.

Thus, each L-shape region has dimensions; 8 units, 5 units, 5 units and 2 units.

Perimeter of each L-shape region = the addition of the length of each side of the shape

Perimeter of each L-shape region = 8 + 5 + 5 + 2

                                                         = 20 units

3 0
3 years ago
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