Answer:
We want to rewrite:
q^2 = a*(p^2 - b^2)/p
as a linear equation, in the form:
y = m*x + c
So we start with:
q^2 = a*(p^2 - b^2)/p
we can expand the left side to get:
q^2 = (a/p)*p^2 - (a/p)*b^2
q^2 = a*p - (a/p)*b^2
Now we can ust define:
a*p = c
Then we can replace that to get:
q^2 = -(a/p)*b^2 + c
now we can replace:
q^2 = y
b^2 = x
Replacing these, we get:
y = -(a/p)*x + c
finally, we can replace:
-(a/p) = m
then we got the equation:
y = m*x + c
where:
y = q^2
x = b^2
c = a*p
m = -(a/p)
18 = 2x +4
Subtract 4 from each side:
14 = 2x
divide both sides by 2:
X = 14/2 = 7 dollars per hour
Answer:
20%
Step-by-step explanation:
To find out the percent decrease of the price of the lotion, the first step is to get the amount of the decrease in price.
The lotion is normally $3.00 for the bottle.
This week, it's at $2.40 for the same bottle.
The difference is then of $0.60 per bottle.
Now, we take that $0.60 and we divide it by the original price of $3, we get:
$0.60 / $3.00 = 0.20
So the special is a reduction of 20% from the original price of $3.00 per bottle.