Answer:
and
Step-by-step explanation:
The equation of curve is
We need to find the equation of the tangent line to the curve at the point (-3, 1).
Differentiate with respect to x.
The point of tangency is (-3,1). It means the slope of tangent is .
Substitute x=-3 and y=1 in the above equation.
Divide both sides by 130.
If a line passes through a points with slope m, then the point slope form of the line is
The slope of tangent line is and it passes through the point (-3,1). So, the equation of tangent is
Add 1 on both sides.
Therefore, and .
Yes your answer is correct
Well just substitute y (the first equation) into the second equation.
So
5x-4(5-3x)=-3
Then just solve the equation from there.
5x-20+12x=-3
17x=17
x=1
and if you need y, y=2
44 per minute. 44 x 5 minutes = 220 copies. But you have have 30 seconds left, 30 is half a minute so you also split what the machine does in half which is 22. 220 +22= 242.
242 copies is my answer.