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MrRissso [65]
3 years ago
7

What is the value of X

Mathematics
1 answer:
Minchanka [31]3 years ago
5 0

Answer:

1

Step-by-step explanation:

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The coefficient of x^ky^n-k in the expansion of (x+y)^n equals (nk). True or false.
AVprozaik [17]

Answer:

The correct option is;

False

Step-by-step explanation:

The coefficient of x^k·y^(n-k) is nk,   False

The kth coefficient of the binomial expansion, (x + y)ⁿ is  \dbinom{n}{k} = \dfrac{n!}{k!\cdot (n-k)!} = C(n,k)

Where;

k = r - 1

r = The term in the series

For an example the expansion of (x + y)⁵, we have;

(x + y)⁵ = x⁵ + 5·x⁴·y + 10·x³·y² + 10·x²·y³ + 5·x·y⁴ + y⁵

The third term, (k = 3) coefficient is 10 while n×k = 3×5 = 15

Therefore, the coefficient of x^k·y^(n-k) for the expansion  (x + y)ⁿ = C(n,k) not nk

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2 years ago
Teddy is staying in Canada. He wants to set the thermostat to around 79°F, but the thermostat is marked only in °C. Where should
fiasKO [112]
Answer B is correct.
7 0
3 years ago
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Quadrilateral ABCD is reflected over the x-axis to create A′B′C′D′. What are the coordinates of A' ?
Mashcka [7]
When you reflect the figure over the x-axis, you should have a new coordinate of (2,4) for A.
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Put this into Slope-Intercept Form<br> 5x – 2y = 10
Ronch [10]

Answer:

Step-by-step explanation:

Slope intercept form: y =mx +c

5x - 2y = 10

    -2y =  -5x + 10

\dfrac{-2y}{-2}=\dfrac{-5x}{-2}+\dfrac{10}{-2}\\\\\\y=\dfrac{5}{2}x-5

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2 years ago
In which choice is
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I think the answer is C
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