Answer:
False
Step-by-step explanation:
The given statement is:
The coefficient of x^ky^n-k in the expression of (x+y)^n equals (n-k/k)
This is a false statement
Reason:
When we do expansion of (x+y)^n by binomial theorem we get the following solution:
(x+y)^n = nCk x^k y^n-k
This shows that the coefficient of x^ky^n-k is nCk which is equivalent to n!/(n-k)! k!
Therefore it is a false statement....
Answer:
popcorn=4$
soft drink=4.5$
Step-by-step explanation:
- if we used omitting method:
1-we multiply (p+s=8.5) by (-2) so we could get rid of (s) and be leftover with (p)
so: (-2p-2s= -17)
2- we subtract this equation from (p+2s=13) and the result will be (-p= -4)
3- divide them by (-1) and the result is (p=4)
4-(p+s=8.5) ,substitute (p) with (4) and make it go to the other side with negative sign and the result of (s) is (8.5-4=4.5)
- if we used substituting method:
1-(p+s=8.50), we will make (s) go to the other side with negative sign so the result is (p=8.50-s)
2-(p+2s=13.00), substitute (p) with (8.50-s):
(8.50-s+2s=13)
3- make (8.50) go to the other side with negative sign:
(s=13-8.50=4.5) and then you could get (p)
That depends. If it is a fraction, can you cancel out some numbers? If it is an expression, can you combine like terms? Or do you need to factor?
Answer:
Lilly only needed to cut off 15 feet.
Step-by-step explanation:
1 yard = 3 feet. Luna cut 5 yards, so she cut 15 feet off. Lilly, on the other hand, cut off 17 feet.
