Answer:
1
Step-by-step explanation:
-3x+9=3(2x+3)+3(x-4)+1
Distributive property in the parenthesis
-3x+9=6x+9+3x-12+1
Combine Like Terms
-3x+9=9x-2
Get the x’s on one side
-3x+9=9x-2
+3. +2 +3. +2
11=11x
Divide by 11 on both sides
11/11=1
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Judging by the question I noticed that the two both share x^3 in common. You can divide x^4 by x^3 and get x as a result, and x^3 can still divide into itself.
Thus your answer should be C, x^3
The point (2, 5) is not on the curve; probably you meant to say (2, -5)?
Consider an arbitrary point Q on the curve to the right of P, 
, where 
. The slope of the secant line through P and Q is given by the difference quotient,
where we are allowed to simplify because 
.
Then the equation of the secant line is
Taking the limit as 
, we have
so the slope of the line tangent to the curve at P as slope 2.
- - -
We can verify this with differentiation. Taking the derivative, we get
and at 
, we get a slope of 
, as expected.
