(-4,15),(-7,10)
slope = (10 - 15) / (-7 - (-4) = -5 / (-7 + 4) = -5 / -3 = 5/3
there can be 2 answers to this...depending on the point u use...
y - y1 = m(x - x1)
slope(m) = 5/3
using point (-4,15)...x1 = -4 and y1 = 15
now we sub
y - 15 = 5/3(x - (-4)..not done yet
y - 15 = 5/3(x + 4) <=== this is one answer
y - y1 = m(x - x1)
slope(m) = 5/3
using point (-7,10)....x1 = -7 and y1 = 10
now we sub
y - 10 = 5/3(x - (-7)...not done yet
y - 10 = 5/3(x + 7) <=== and here is the other answer
![\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:
im the middle of six kids three older brothers and two little brothers and one little sister. im not sure its a talent but i can sing draw game and i can edit videos and i plan on being a lawyer. i get all the attention tbh i dont like with any of my siblings. yaa. yesh uwu, and yea people are just rude and fake bc they dont care smh. ive had a relationship with someone way older then me and he didnt rlly are abt me he broke up with me bc my friends hurt his feelings m friend is like twelve and he is 16 . then a month or so later he wanted to get back together we did he broke up with me again and i sat thre crynig bc he didnt like me, he called me the simp and stuff. etc one of my relations ships ended so i could be with him it last 2days and i found someone who truly likes me but i dont want to fully commit bc im scared he will hurt me
Step-by-step explanation:
srry for all the typos btw im shaking. ello btw uwu
The answer to this question is “J”, y=4x+1
Answer:
(16/3,-4)
Step-by-step explanation:
- y=-3/4x & y=3/2x -12
- then solve for x which means -3/4x=3/2x-12
- then the value of x=16/3
- put the x value in one equation
- y=3/4(16/3)
- then the value of y=-4
