Answer:
x = 
Step-by-step explanation:
Given
5xy + a = c ( isolate 5xy by subtracting a from both sides )
5xy = c - a ( isolate x by dividing both sides by 5y )
x =
Answer:
10
Step-by-step explanation:
This is a right triangle, so we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
9^2 + (sqrt(19))^2=c^2
81+19 = c^2
100 = c^2
Take the square root of each side
sqrt(100) = sqrt(c^2)
10 = c
The hypotenuse is 10
Answer:
A) Justin walked through the gift shop, looking for a souvenir for himself.
Step-by-step explanation:
Answer:
The correct answer is 0.5 pounds of pollutant.
Step-by-step explanation:
According to the problem the cost of controlling emissions at a firm is given by:
C(q) = 1,260 + 100 × 
, where q is the reduction in emissions (in pounds of pollution per day) and C is the daily cost to the firm (in dollars) of this reduction.
Government clean-air subsidies amount to $100 per pound of pollutant removed per day.
Net cost = C(q) - Subsidy
⇒ Net Cost = 1,260 + 100 × - 100 × q.
In order to minimize net cost we calculate, 
(Net cost) = 0.
⇒ 200 × q - 100 = 0
⇒ q = 0.5
We can see that the second order derivative is positive and thus the net cost minimizes.
Thus the firm should remove 0.5 pounds of pollutant each day in order to minimize net cost.
Step-by-step explanation:
first we need to find the slope of the line.
the slope is the ratio of "y coordinate change / x coordinate change" when going from one point to the other.
we see here
x changes by -4 (from -4 to -8).
y changes by +3 (from -5 to -2).
so, the slope is +3/-4 = -3/4
there are two main forms for the equation of a line :
the slope-intercept form
y = ax + b
and the point-slope form
y - y1 = a(x - x1)
where "a" is the slope, and (x1, y1) is a point on the line.
we can pick any point, and I would pick (-4, -5).
so we get as point-slope form
y + 5 = -3/4 × (x + 4)
or for the slope intercept form we simplify the point-slope form
y + 5 = -3/4 x + -3/4 × 4 = -3/4 x - 3
y = -3/4 x - 8
