To expand (3 - 2x)^6 use the binomial theorem:
(x + y)^ n = C(n,0) x^ny^0 + C(n,1)x^(n-1) y + C(n,2)x^(n-2) y^2 + ...+ C(n,n+1)xy^(n-1) + C(n,n)x^0y^n
So, for x = 3, y = -2x , and n = 6 you get:
(3 - 2x) ^6 = C(6,0)(3)^6 + C(6,1)(3)^5 (-2x) + C(6,2) (3)^4 (-2x)^3 + C(6,3) (3^3) (-2x)^4 + C(6,4)(3)^2 (-2x)^4 + C(6,5) (3) (-2x)^5 + C(6,6) (-2x)^6
So, the sixth term is C(6,5)(3)(-2x)^5 = 6! / [5! (6-5)! ] * 3 * (-2)^5 x^5 = - 6*3*32 = - 576 x^5.
The coefficient of that term is - 576.
Answer: - 576
Answer: Jenny
Step-by-step explanation:
By subtitue Y = 0
0=(x-3)^2
And you get 3
Answer:
Kadeem will take 0.166 h more to complete the course.
Step-by-step explanation:
The speed is the rate at which the distance changes, when the speed goes up the distance changes more quickly, therefore if the distance is the same and the speed is higher the one who will take longer is the one that has less speed. In this case the one who will take longer to drive the 25 miles is Kadeem, since he's driving at 50 mph. In order to calculate how much longer we need to calculate the time at which each of them complete the course, this is shown below:
time = distance/speed
For Kadeem:
time = 25/50 = 0.5 h
For Quinn:
time = 25/75 = 0.334 h
The difference between the is 0.5 - 0.334 = 0.166 h.
From September 20 to January 20, there are 4 months only which is equivalent to 1/3 of a year. The interest earned by the investment, P, made is calculated
I = P x i x n
where I is the interest, P is the principal amount, i is the interest rate, and n is the number of years. Substituting the known values,
I = ($7000)(0.08)(1/3)
I = $186.67
Hence, the answer to this item is $186.67.
