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:
Step-by-step explanation:
Split it into 2 inequalities:
-8 < y + 2x
y + 2x < 14
Isolate y , subtract 2x from first and then from second
-8 -2x < y
y < 14 -2x
Rewrite it so it looks pretty?
y > -2x-8
y < -2x +14
You can use the calculator to graph each inequality.
The solution or the system is the area where the 2 solutions for each line overlap.
Answer: 28
Step-by-step explanation:
Divide 700 by 25
Answer:
a
Step-by-step explanation:
Part A is accomplished by first factoring out the b^2 to get
. Factor that completely using the quadratic formula to get
. Part B is done entirely with the quadratic formula (only cuz that's the easiest way to factor a second degree polynomial!) to get (x-9)(x-9) or (x-9) multiplicity 2. Part C is done by taking roots. Keep in mind that since this is a second degree polynomial you will have 2 solutions.
, therefore,
and
which is +11 and -11. And you're done! Factoring is very important...make sure you learn it and learn it well!!!
