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
Given,
Mass of bag = 6 Kg
Area covered by the bag = 2.5 x 5 = 12.5 m²
a) Bags required to cover area = 7.5 x 10.2
= 76.5 m²
Number of bags, N = 
N = 6.12 = 7 (approx.)
7 Bags of 6 Kg fertilizers will be needed to cover the area.
b) Cost of 6 Kg fertilizers = $15.50
Cost of 7 bags of 6 Kg fertilizers = 7 x $15.50
= $108.50.
These should help!! The corresponding vertices make a rectangular prism:)
Answer:
The area of the bulletin board is 30 square foot.
Step-by-step explanation:
A bulletin board can be covered completely by 30 square pieces of paper without any gaps or overlaps.
If each piece of paper has side length of 1 foot so the area of each paper is 1 ft x 1 ft = 1 square foot.
There are 30 pieces of paper needed to completely cover the bulletin board, so 30 pcs of paper with an area of 1 square foot is equal to 30 square feet. The area of the bulletin board is 30 square foot.
The answer is A. 4(n 3) - 6n
