Given
![f(x)=\frac{1}{5x-6}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B1%7D%7B5x-6%7D)
To find the derivative of the give function,we apply below exponent rule first:
![\frac{1}{a}=a^{-1}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Ba%7D%3Da%5E%7B-1%7D)
So,
Next, we apply the chain rule:
So,
We substitute back u=(5x-6):
Simplify:
Therefore, the answer is:
To find the answer for the second question, add £114.00 to £150. This adds up to £264.00.
Then, divide £264.00 by 96 slices.
Your answer is £2.75 per slice.
If you have any further questions feel free to ask.
Hope this helps.
The slope of a line who is perpendicular to another, is the negative reciprocal slope of that line, that is, if a line has slope say a/b, then
![\bf \textit{perpendicular, negative-reciprocal slope for slope}\quad \cfrac{a}{b}\\\\ slope=\cfrac{a}{{{ b}}}\qquad negative\implies -\cfrac{a}{{{ b}}}\qquad reciprocal\implies - \cfrac{{{ b}}}{a}\\\\ -------------------------------\\\\ slope=-2\qquad negative\implies +2\qquad reciprocal\implies \cfrac{1}{2}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bperpendicular%2C%20negative-reciprocal%20slope%20for%20slope%7D%5Cquad%20%5Ccfrac%7Ba%7D%7Bb%7D%5C%5C%5C%5C%0Aslope%3D%5Ccfrac%7Ba%7D%7B%7B%7B%20b%7D%7D%7D%5Cqquad%20negative%5Cimplies%20%20-%5Ccfrac%7Ba%7D%7B%7B%7B%20b%7D%7D%7D%5Cqquad%20reciprocal%5Cimplies%20-%20%5Ccfrac%7B%7B%7B%20b%7D%7D%7D%7Ba%7D%5C%5C%5C%5C%0A-------------------------------%5C%5C%5C%5C%0Aslope%3D-2%5Cqquad%20negative%5Cimplies%20%2B2%5Cqquad%20reciprocal%5Cimplies%20%5Ccfrac%7B1%7D%7B2%7D)
so.. what is the equation of a line whose slope is 1/2 and passes through (2,5)?
Answer:
The answer is 17.
Step-by-step explanation:
when k=40
![12+\frac{40}{8}](https://tex.z-dn.net/?f=12%2B%5Cfrac%7B40%7D%7B8%7D)
12 + 5
17
Hope that helps and please give me brainliest!!
Answer:
The volume of the triangular prism is ![595\ units^{3}](https://tex.z-dn.net/?f=595%5C%20units%5E%7B3%7D)
Step-by-step explanation:
we know that
The volume of the triangular prism is equal to
![V=BH](https://tex.z-dn.net/?f=V%3DBH)
where
B is the area of the base
H is the height of the prism
<em>Find the area of the triangular base B</em>
![B=(1/2)bh](https://tex.z-dn.net/?f=B%3D%281%2F2%29bh)
substitute the given values
![B=(1/2)(14)(17)=119\ units^{2}](https://tex.z-dn.net/?f=B%3D%281%2F2%29%2814%29%2817%29%3D119%5C%20units%5E%7B2%7D)
<em>Find the volume</em>
![V=(119)(5)=595\ units^{3}](https://tex.z-dn.net/?f=V%3D%28119%29%285%29%3D595%5C%20units%5E%7B3%7D)