A carpenter needs three pieces of wood to complete a furniture. The longest piece must be twice the length of the middle-sized piece. The shortest piece must be 2 in. Shorter than the middle-sized piece. If a board 70 in. Long is to be used, then find the length of each piece.

Shortest piece = 16 in.

Middle piece = 18 in.

Longest pice = 36 in.

Step-by-step explanation:

Let x be the length of the shortest piece.

as per given, length of the middle piece = x+2

Length of the longest piece=2(x+2)

Total length = 70 in.

i.e.

Shortest piece = 16 in.

Middle piece = 18 in.

Longest pice = 2(18) in.

= 36 in.

b

step-by-step explanation:

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3