![\bf y=ax^2+bx\implies \cfrac{dy}{dx}=2ax+b](https://tex.z-dn.net/?f=%5Cbf%20y%3Dax%5E2%2Bbx%5Cimplies%20%5Ccfrac%7Bdy%7D%7Bdx%7D%3D2ax%2Bb)
now, we know the tangent line at (2,4) is y = 8x - 12, now, that's already in slope-intercept form, so, the slope of that tangent at (2,4) is "8" then.
now, that means when x = 2, the slope is 8, so let's use that.
Answer:
-u+5
Step-by-step explanation:
plz mark as brainliest
Answer:
She tipped $25.50 and paid a total of $110.50
Step-by-step explanation:
hope this helps you out
Solve the equation:
3e^(2x + 1) = 12
e^(2x + 1) = 12/3
e^(2x + 1) = 4
2x + 1 = ln(4)
2x + 1 = ln(2^2)
2x + 1 = 2 ln(2)
2x = 2 ln(2) - 1
x = [ 2 ln(2) - 1 ] / 2 <----- this is the answer.
________
Checking:
2x + 1 = 2 ln(2)
2x + 1 = ln(4)
e^(2x + 1) = e^[ ln(4) ]
e^(2x + 1) = 4
3e^(2x + 1) = 3 * 4
3e^(2x + 1) = 12 (checked)
I hope this helps. :-)
Answer:
y = 25
Step-by-step explanation:
![30=\frac{6}{5} y\\\\\frac{6}{5} y=30\\\\(\frac{6}{5} y)5=30*5\\\\6y=150\\\\\frac{6y=150}{6}\\\\\boxed{y=25}](https://tex.z-dn.net/?f=30%3D%5Cfrac%7B6%7D%7B5%7D%20y%5C%5C%5C%5C%5Cfrac%7B6%7D%7B5%7D%20y%3D30%5C%5C%5C%5C%28%5Cfrac%7B6%7D%7B5%7D%20y%295%3D30%2A5%5C%5C%5C%5C6y%3D150%5C%5C%5C%5C%5Cfrac%7B6y%3D150%7D%7B6%7D%5C%5C%5C%5C%5Cboxed%7By%3D25%7D)
Hope this helps!