Answer:
y =
Step-by-step explanation:
The equation used to find the equation for a line with two intercepts is called point slope form. , where
and
are the intercept points and m is the slope.
However, we need the slope to use this formula.
Use
m = \frac{y_{1} - y_{2} }{x_{1} - x_{2}}
y - ( -7 ) = m ( x - ( 4 ) )
y - ( -7 ) = -7/4 ( x - ( 4 ) )
y + 7 = -7/4 ( x + 4 )
y + 7 =
y + 7 =
y + 7 =
y + 7 = - 7
y =
Answer:
Step-by-step explanation:
Given that a large mixing tank initially holds 400 gallons of water in which 70 pounds of salt have been dissolved. Pure water is pumped into the tank at a rate of 4 gal/min, and when the solution is well stirred, it is then pumped out at the same rate.
Let Q(t) be the quantity of salt at time t.
Q(0) = 70 pounds
Inflow of water = outflow = 4 gal/min
So resulting volume of tank at time t = 400 gallons
Rate of change of salt = inflow - outflow
= 0 -
i.e.
This is a variable separable equation
Use when t =0 Q = 70
A =70
So A(t) = Q(t) = and
A(0) = Q(0) = 70 lbs.