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: 8
Step-by-step explanation:
Given: Pedro cut a sheet of poster board into 10 equal parts.
let x be the total sheet.
then, one part of sheet= 
of the sheet
Now, His brother used some of the poster board and now 8/10 is left.
Therefore, if Pedro wants to make a sign from each remaining part of the poster board.
then, The number of signs he can make= 
Hence, Pedro can make 8 signs.
Answer:
9.90 inches
Step-by-step explanation:
Area of a triangle is equal to base times height divided by 2.
Base and height is x.
Solve for x.
Money borrowed by Anthony from his friend for a sandwich and drink at lunch = $6.50
Money borrowed by Anthony from his sister to pay a library fine = $3.75
Hence, the equation to express Anthony's total debt that day will be =
Let T be the total debt , so the equations becomes,
6.50 + 3.75 = T
Answer:
Answer is x=328 .
Step-by-step explanation:
solution= (4x-16)^1/2=36
squaring both sides we get
4x-16=129
4x=1296+16
x=(1296+16)/4
x=328 .
