HELP PLEASE!Write the equation of the line parallel to y = –x + 5 passing through the point (9, –1).

1 answer:

5 0

Y=-x+8
gradient of the parallel line is the same as the gradient of the line given, which is -1
to find the y-intercept, sub the values (9,-1) into the equation we are finding which is y=-x+c

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Step-by-step explanation:

Volume of fluid in the tank =1000 gallons

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Incoming brine solution of concentration 2 pounds of salt per gallon is pumped in at a rate of 4 gallons per minute.

Rate In=(concentration of salt in inflow)(input rate of brine)

$=(2\frac{lbs}{gal})( 4\frac{gal}{min})=8\frac{lbs}{min}$

The resulting mixture is pumped out at the same rate, therefore:

Rate Out =(concentration of salt in outflow)(output rate of brine)

$=(\frac{A(t)}{1000})( 4\frac{gal}{min})=\frac{A}{250}$

Therefore:

The rate of change of amount of salt in the tank,

$\dfrac{dA}{dt}=$Rate In-Rate out\\\dfrac{dA}{dt}=8-\dfrac{A}{250}\\\dfrac{dA}{dt}=8-0.004A$

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