Answer:
f=2/3
Step-by-step explanation:
Let

. Then

, and so as

, you have

. The limit is then equivalent to
Answer:
y+5=-3/4(x+6)
or in slope intercept
y= -3/4x-38/4
Step-by-step explanation:
To write the equation of a line we must have a slope and a point. To find the slope we use the slope formula and substitute (x,y) points in it as shown below:

Now that we have the slope, plug in the slope and choose one point to plug into the point slope formula. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.
(y--5)=-3/4(x--6)
y+5=-3/4(x+6)
y+5=-3/4x-18/4
y=-3/4x-18/4-20/4
y= -3/4x-38/4
Answer:
a) -3 gallons per hour
b) y = -3x +14
Step-by-step explanation:
Rate of change is computed by dividing the amount of change by the interval over which it occurred.
<h3>a)</h3>
Here the amount of gas decreased from 14 to 2 gallons, so a decrease of 14-2 = 12 gallons. That occurred over a 4-hour period, so the rate of change is (-12 gallons)/(4 hours) = -3 gallons/hour.
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<h3>b)</h3>
The initial amount was 14 gallons, so the equation for the line describing remaining gas will be ...
y = -3x +14 . . . . gas in the tank after x hours