Answer:
Answer attached
Step-by-step explanation:
Given :
A bike path is 3 miles long. there are distance markers every path one fourth mile to the end of the path.
To Find :
Which number line correctly models this situation and the total number of distance markers.
Solution :
It is given that their are markers every 1/4 part of mile.
So, their are 4 markers per mile.
Numbers of markers in 3 miles long path is :

Therefore, the total number of distance markers in 3 mile path is 12.
Hence, this is the required solution.
You need to divide the 3 blocks of clay by the 4 friends. 3 goes in the dividend and the 4 is outside. 3 divided by 4 is equal to 0.75 or 3/4, so each friend gets 0.75 or 3/4 clay
Both expression have the same denominator: 9x²-1. Thus it must not be 0.
9x²-1=(3x-1)(3x+1)=0, resulting x=+-1/3.
Restrictions: x in R\{-1/3, 1/3}
Adding those expressions:
E=(-x-2)/(9x²-1 ) + (-5x+4)/(9x²-1)=
(-x-2-5x+4)/(9x²-1)=(-6x+2)/(9x²-1)=
(-2)(3x-1)/(9x²-1)=-2/(3x+1)
E=-2/(3x+1)