Answer:
The sale price is 
The expression is 
Step-by-step explanation:
we know that
The sale price is equal to subtract the discount price from the original price
The discount price is equal to multiply the original price by the percent discount in decimal form
Let
x ----> the sale price
y ---> discount price
----> percent discount in decimal form


substitute

therefore
the expression is

Combine like terms to get
Answer:
a₆ = 13x + 31
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
Here a₁ = 3x + 1 and d = 2x + 6 , then
a₆ = 3x + 1 + 5(2x + 6)
= 3x + 1 + 10x + 30
= 13x + 31
A geometric series like

Converges if and only if
. If this is the case, the sum equals

So, in your case, you have convergence if and only if

And if this is the case, the sum equals

Answer:
Piece one would equal to 14" and piece two would be 42" because 42 is three times the length of 14