Answer:
The fourth term of the expansion is -220 * x^9 * y^3
Step-by-step explanation:
Question:
Find the fourth term in (x-y)^12
Solution:
Notation: "n choose k", or combination of k objects from n objects,
C(n,k) = n! / ( k! (n-k)! )
For example, C(12,4) = 12! / (4! 8!) = 495
Using the binomial expansion formula
(a+b)^n
= C(n,0)a^n + C(n,1)a^(n-1)b + C(n,2)a^(n-2)b^2 + C(n,3)a^(n-3)b^3 + C(n,4)a^(n-4)b^4 +....+C(n,n)b^n
For (x-y)^12, n=12, k=3, a=x, b=-y, and the fourth term is
C(n,3)a^(n-3)b^3
=C(12,3) * x^(12-3) * (-y)^(3)
= 220*x^9*(-y)^3
= -220 * x^9 * y^3
Answer:
I= 84
Step-by-step explanation:
for
since D is the rectangle such that 0<x<3 , 0<y<3
Answer:
The x-intercept is at the point (5,0).
Step-by-step explanation:
-2x + 5y = -10
At the x intercept y = 0 so we substitute y = 0 into the given equation:
-2x + 5(0) = -10
-2x = -10
x = 5.
Answer: C
Step-by-step explanation:
450 is her initial value
225 is her rate of change or constant rate
