178.50 = 11.90y + 10.50x ⇒ equation in standard form.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Starting population = 4000
Addition per month = 170
decline on population per month = 70
Increase rate in population per month (dt) :
Starting population = 4000
Number of births per month = 170
However, the population declines by 70 individuals each month
Hence,
Number of births - number of deaths(d) = 70
170 - d = - 70 ( decline?
170 + 70 = d
240 = d
d = number of deaths
Per capita death :
Total number of deaths per. Month / starting population
= 240 / 4000
= 0.06
She initially had 17 dollars.
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
