1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.

You might be interested in
(5ab - 10b^2 + 15bc) ÷ 5b
Brilliant_brown [7]

Answer:

Final answer: a-2b+3c

Step-by-step explanation:

5ab/5b= a

-10b^2/5b= -2b

15bc/5b= 3c  

7 0
3 years ago
Read 2 more answers
How do you solve this problem? I’m needing help
Romashka-Z-Leto [24]

F(6) means f times 6 so f6

6 0
3 years ago
Read 2 more answers
The cost of 11 dvds and 7 cds is 172.50 and the cost of 10 dvds and 7 cds is 155.80. How much does a cd and dvd cost?
AleksandrR [38]

Answer:

The question has a mistake

Step-by-step explanation:

11d+7c= 172.5

10d+7c= 155.8

By subtraction;

1d+ 0c = 16.7

1d = 16.7

11×16.7+7c=172.5

7c = 172.5-11*16.7

You will get a negative answer yet the cost cannot be negative.

5 0
3 years ago
A neighborhood child is selling lemonade and cookies in front of his house. He has up to 20 cookies available and enough lemonad
prohojiy [21]

Answer:

The child can sell 15 cookies and 30 lemonade glasses, or 10 cookies and 40 glasses of lemonade, etc

Step-by-step explanation:

If the child wants to make $30 and gets $1 per cookie and $0.50 per lemonade glass, he could sell 15 cookies and 30 glasses, 10 cookies and 40 glasses, etc. He has to sell at least 5 cookies, though, as the lemonade is only worth $25.

7 0
3 years ago
Examine the intersection of these lines:
Leto [7]

Answer:

∠B and ∠F

∠F and ∠E . . . already listed in the problem statement, so may not be considered an "other pair"

Step-by-step explanation:

∠C and ∠F are vertical angles, so are congruent. Then any angle complementary to one of those will also be complementary to the other.

Likewise, ∠B and ∠E are vertical angles and congruent. Any angle complementary to one of them will also be complementary to the other. Here, ∠E and ∠F are listed as complementary, so we know ∠B and ∠F will be also.

3 0
2 years ago
Other questions:
  • My dividend is 50. my remainder is 1 I am an odd number what divisor am I
    9·1 answer
  • Solve for g. 9+3.5g=11-0.5g
    5·2 answers
  • Solve for x.<br> 2x+5=3-7x
    12·1 answer
  • 5 ones 3 tenths - 0.53​
    5·1 answer
  • The product of a number and 2 is 20 less than the product of the number and -3. What is the number?
    12·1 answer
  • The senior classes at High School A and High School B planned separate trips to New York City. The senior class at High School A
    9·1 answer
  • Helpppp plzzzzz asapppppppppppppppppp
    6·2 answers
  • V -10= -9<br> v= _____<br><br> explain how you do it.
    5·1 answer
  • Find the area of each show work please answer do no<br> t just skip please
    10·1 answer
  • A coaster is designed to hold 2 different drinks. Find the are of the coaster. Round your answer to the nearest hundredth.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!