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The miles previously covered by algae is 6 miles
let m represent the miles of the coastline covered by algae before the clean-up
fraction of miles covered after the clean-up = x m =
miles covered after the clean-up = 2 miles
= 2 miles
to determine the value of m, make m the subject of the formula.
To do this, take the following step :
multiply both sides of the equation by 2
m = 2 miles x 3
m = 6 miles
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Consider the expression 
To factorize the expression in the denominator we use difference of squares:
To factorize
we use the following method:
where a, b are 2 numbers such that a+b= -1, the coefficient of x,
and a*b= -6, the constant.
such 2 numbers can be easily checked to be -3 and 2
(-3*2=6, -3+2=-1)
So
for x>2
thus
for x>2,
Answer:
for x>2
, (but the expression is never 0)
To factorize the expression in the denominator we use difference of squares:
To factorize
where a, b are 2 numbers such that a+b= -1, the coefficient of x,
and a*b= -6, the constant.
such 2 numbers can be easily checked to be -3 and 2
(-3*2=6, -3+2=-1)
So
for x>2
thus
for x>2,
Answer:
for x>2