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guajiro [1.7K]
3 years ago
7

Find the term indicated in the expansion. (x - 3y)11; 8th term

Mathematics
2 answers:
Alja [10]3 years ago
8 0
The term in the expansion:
T ( k+1) = n C k * A^(n-k) * B^k.
In this case: n = 11,  k + 1 = 8, so k = 7.
A = x, B = - 3 y
T 8 = 11 C 7 * x^(11-7) * ( - 3 y )^7 =
 =( 11 *10 * 9 * 8 * 7 * 6 * 5 ) / ( 7 * 6 * 5 * 4 * 3 * 2 * 1  )* x^4 * ( - 2,187 y^7 ) =
= 330 * ( - 2,187 ) x^4 y^7 = - 721,710 x^4 y^7
Answer: The 8th term in expansion is
 
aleksandrvk [35]3 years ago
6 0

Answer:

8th term = -721710x⁴y⁷

Step-by-step explanation:

Given Binomial is (x - 3y)¹¹

To find the particular term from expansion of binomial, The (a + 1)th  term of the binomial expansion of (x + y)ⁿ is:

(a + 1)th term = ⁿCₐ xⁿ⁻ᵃ yᵃ

We need to find 8th term.

So, a+1 = 8

a = 8-1 = 7th term

8th term = ¹¹C₇ x¹¹⁻⁷ (-3y)⁷

8th term = 330x⁴(-3)⁷y⁷

8th term = -721710x⁴y⁷

That's the final answer.

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Hi, please answer with proof how you got this answer.
Orlov [11]

Answer: you would do lxw and W=5 and L=2 so what u would do it 5x2=10 so your answer is 10

5 0
3 years ago
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Solve the system of equations
rewona [7]

Answer:

x = 1/4

y = -1/2

z = 9/4

Step-by-step explanation:

Here we have a system of 3 equations with 3 variables:

4*x + 2*y + 1 = 1

2*x - y = 1

x + 3*y + z = 1

The first step to solve this, is to isolate one of the variables in one of the equations, let's isolate "y" in the second equation:

2*x - y = 1

2*x - 1 = y

Now that we have an expression equivalent to "y", we can replace this in the other two equations:

4*x + 2*(2*x - 1) + 1 = 1

x + 3*(2*x - 1) + z = 1

Now let's simplify these two equations:

8*x - 1 = 1

7*x - 3 + z = 1

Now, in the first equation we have only the variable x, so we can solve that equation to find the value of x:

8*x - 1 = 1

8*x = 1 + 1 = 2

x = 2/8 = 1/4

Now that we know the value of x, we can replace this in the other equation to find the value of z.

7*(1/4) -3 + z = 1

7/4 - 3 + z = 1

z = 1 + 3 - 7/4

z = 4 - 7/4

z = 16/4 - 7/4 = 9/4

z = 9/4

Now we can use the equation y = 2*x - 1 and the value of x to find the value of y:

y = 2*(1/4) - 1

y = 2/4 - 1

y = 1/2 - 1

y = -1/2

Then the solution is:

x = 1/4

y = -1/2

z = 9/4

7 0
3 years ago
What is the answer to 1935 divided by 54
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35.833

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7 0
3 years ago
8x+4y=-2<br> -12x+5y=-8<br> What is the answer
tester [92]

Answer:

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7 0
3 years ago
What equation is parallel to the line 3x+y=5
Alex_Xolod [135]

Answer:

Any equation with the slope -3 and a y intercept that does not equal 5

Step-by-step explanation:

a line is parallel if the line have the same slope, and different y intercepts

3x+y=5  

in slope intercept form is

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slope : -3

y intercept 5

3 0
3 years ago
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