![\bf f(x)=(x-6)e^{-3x}\\\\ -----------------------------\\\\ \cfrac{dy}{dx}=1\cdot e^{-3x}+(x-6)-3e^{-3x}\implies \cfrac{dy}{dx}=e^{-3x}[1-3(x-6)] \\\\\\ \cfrac{dy}{dx}=e^{-3x}(19-3x)\implies \cfrac{dy}{dx}=\cfrac{19-3x}{e^{3x}}](https://tex.z-dn.net/?f=%5Cbf%20f%28x%29%3D%28x-6%29e%5E%7B-3x%7D%5C%5C%5C%5C%0A-----------------------------%5C%5C%5C%5C%0A%5Ccfrac%7Bdy%7D%7Bdx%7D%3D1%5Ccdot%20e%5E%7B-3x%7D%2B%28x-6%29-3e%5E%7B-3x%7D%5Cimplies%20%5Ccfrac%7Bdy%7D%7Bdx%7D%3De%5E%7B-3x%7D%5B1-3%28x-6%29%5D%0A%5C%5C%5C%5C%5C%5C%0A%5Ccfrac%7Bdy%7D%7Bdx%7D%3De%5E%7B-3x%7D%2819-3x%29%5Cimplies%20%5Ccfrac%7Bdy%7D%7Bdx%7D%3D%5Ccfrac%7B19-3x%7D%7Be%5E%7B3x%7D%7D)
set the derivative to 0, solve for "x" to get any critical points
keep in mind, setting the denominator to 0, also gives us critical points, however, in this case, the denominator will never be 0, so... no critical points from there
there's only 1 critical point anyway, and do a first-derivative test on it, check a number before it and after it, to see what sign the derivative has, and thus, whether the graph is going up or down, to check for any extrema
Answer:
Addition
Step-by-step explanation:
if you just add 32 to both sides you'll get h=3+g
Answer:
The win percentage decreased by 10%
Step-by-step explanation:
First you need to fin the total games played right before Melissa got Injured
41+23=64
Then you need to find the win percentage by making a fraction of wins over total games
wins/total games = 41/64 = 64%
Then you need to find the number of games played after Melissa got injured
54-41 = 13 wins
34-23 = 11 losses
13+11 = 24 total games played without Melissa
You find that win percentage similarly to the first time
wins/total games = 13/24 = 54%
Then you find the difference in the percentages and there you have it!!
64% - 54% = 10%
It decreased as well therefore the answer is...
It decreased by 10%
Lets quickly run through the prime numbers and see what it is not divisible by
39 is not divisible by 2
39 IS divisible by 3
So lets stop right here.
What is 39 divided by 3? 13 !
And 13 is a prime number too!
So that is all we can do.
So prime factorization of 39 is <u>3 x 13</u><u><em /></u>
