I need help with these anyone I’ll give 25 points
1 answer:
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Answer:
The correct option is;
False
Step-by-step explanation:
The coefficient of x^k·y^(n-k) is nk, False
The kth coefficient of the binomial expansion, (x + y)ⁿ is
Where;
k = r - 1
r = The term in the series
For an example the expansion of (x + y)⁵, we have;
(x + y)⁵ = x⁵ + 5·x⁴·y + 10·x³·y² + 10·x²·y³ + 5·x·y⁴ + y⁵
The third term, (k = 3) coefficient is 10 while n×k = 3×5 = 15
Therefore, the coefficient of x^k·y^(n-k) for the expansion (x + y)ⁿ = not nk
Answer:
The population of the town is 0.983 times the population of the town in the previous year.
B is correct.
Step-by-step explanation:
We are given a function which represent population of a town after t years.
It is an exponential function. Exponential function wither decease or increase it depends on factor.
b is factor which decides factor of exponential function decrease or increase.
- If b >1 then function increase
- If 0<b<1 then function decrease.
If we see our problem
Here, b=0.983<1
Function would be decrease by factor of 0.983
Thus, The population of the town is 0.983 times the population of the town in the previous year.