<span>The result is 2x^2 - 3x + 2 .</span>
Answer:
The graph of g(x) is a vertical translation of f(x). Although both have the same x coordinates but different y coordinates.
The graph of g is a <u>vertical</u><em> </em>translation of the graph of f <u>12</u> units <u>downward</u>.
Step-by-step explanation:
The equation y=f(x)+k represents that when k is negative, the graph moves downward.
Answer: 18 1/5 + 22 2/5 + 40 1/5
Step-by-step explanation:
To get equivalent expression we need to remove the parenthesis multiply negative sign inside the parenthesis when we multiply negative and negative it becomes positive. So the expression becomes 18 1/5 + 22 2/5 + 40 1/5
If you do in fact mean
(as opposed to one of these being the derivative of
at some point), then integrating twice gives



From the initial conditions, we find


Eliminating
, we get


![C_1 = -\dfrac{\ln(6)}5 = -\ln\left(\sqrt[5]{6}\right) \implies C_2 = \ln\left(\sqrt[5]{6}\right)](https://tex.z-dn.net/?f=C_1%20%3D%20-%5Cdfrac%7B%5Cln%286%29%7D5%20%3D%20-%5Cln%5Cleft%28%5Csqrt%5B5%5D%7B6%7D%5Cright%29%20%5Cimplies%20C_2%20%3D%20%5Cln%5Cleft%28%5Csqrt%5B5%5D%7B6%7D%5Cright%29)
Then
![\boxed{f(x) = \ln|x| - \ln\left(\sqrt[5]{6}\right)\,x + \ln\left(\sqrt[5]{6}\right)}](https://tex.z-dn.net/?f=%5Cboxed%7Bf%28x%29%20%3D%20%5Cln%7Cx%7C%20-%20%5Cln%5Cleft%28%5Csqrt%5B5%5D%7B6%7D%5Cright%29%5C%2Cx%20%2B%20%5Cln%5Cleft%28%5Csqrt%5B5%5D%7B6%7D%5Cright%29%7D)
Y=5x-3
the slope is plus 5
so if 1 = 2
simply subtract 5 from two and you get -3