Answer:
Points on the Real number line correspond to Real numbers.The distance between two points is the absolute value of the difference of the corresponding numbers. ... The set of points on any line corresponds to the coordinate .
Step-by-step explanation:
Please mark brainliest and have a great day!
![\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:
Answer in the image below \/
Step-by-step explanation:
Answer:
(in a fraction format) 12/75=x/120
Step-by-step explanation:
The simplest way I can explain* is for these types of problems, all you do is make an equation like the one above and use an X as the numerator in the second equation over the denominator, which should be something like 120 in this problem. So after you find the information for the problem, which is the part where it states how much time a line of 48 people had to wait, make an equation using that information, which is 12/48. Then to finish the equation, use the 120 people in line part and make another equation that has an X as the numerator, or the number on top. It should look like this:
12/75 = x/120
I tried sorry*
Answer:
50% off
Step-by-step explanation:
