Answer:
final answer is 6
Step-by-step explanation:
Given ![f(x)=6x-2](https://tex.z-dn.net/?f=f%28x%29%3D6x-2)
To find the difference quotient use formula
![\frac{f(x+h)-f(x)}{h}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28x%2Bh%29-f%28x%29%7D%7Bh%7D)
![f(x)=6x-2](https://tex.z-dn.net/?f=f%28x%29%3D6x-2)
![f(x+h)=6(x+h)-2=6x+6h-2](https://tex.z-dn.net/?f=f%28x%2Bh%29%3D6%28x%2Bh%29-2%3D6x%2B6h-2)
Now plug it in the formula
![\frac{f(x+h)-f(x)}{h}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28x%2Bh%29-f%28x%29%7D%7Bh%7D)
![\frac{6x+6h-2-(6x-2)}{h}](https://tex.z-dn.net/?f=%5Cfrac%7B6x%2B6h-2-%286x-2%29%7D%7Bh%7D)
![\frac{6x+6h-2-6x+2)}{h}](https://tex.z-dn.net/?f=%5Cfrac%7B6x%2B6h-2-6x%2B2%29%7D%7Bh%7D)
![\frac{6h}{h}](https://tex.z-dn.net/?f=%5Cfrac%7B6h%7D%7Bh%7D)
6
Answer:
i got 96
Step-by-step explanation:
you have to find the unit rate for 1 driveway and times that by 12
32 divided by 4 is 8
8 x 12 is 96
hope this helps :)
Answer:
Option (A)
Step-by-step explanation:
It has been given in this question that sign telling path has a 2% grade.
2% grade means a rise of 2 meters for a horizontal change of 100 m (As given in the figure attached).
All the trigonometric ratios for the angle θ between the path and the horizontal are,
Sinθ = ![\frac{\text{Opposite side}}{\text{Hypotenuse}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BOpposite%20side%7D%7D%7B%5Ctext%7BHypotenuse%7D%7D)
Cosθ = ![\frac{\text{Adjacent side}}{\text{Hypotenuse}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BAdjacent%20side%7D%7D%7B%5Ctext%7BHypotenuse%7D%7D)
tanθ = ![\frac{\text{Opposite side}}{\text{Adjacent side}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BOpposite%20side%7D%7D%7B%5Ctext%7BAdjacent%20side%7D%7D)
Since measures of the opposite side and adjacent sides are given
Therefore, tangent ratio will be applied to get the measure of the angle,
tanθ = ![\frac{2}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B100%7D)
θ = ![\text{tan}^{-1}(\frac{2}{100})](https://tex.z-dn.net/?f=%5Ctext%7Btan%7D%5E%7B-1%7D%28%5Cfrac%7B2%7D%7B100%7D%29)
Option (A) will be the answer.
Answer:
Step-by-step explanation:
Answer:
![3m\sqrt[5]{2m^4p^4}](https://tex.z-dn.net/?f=3m%5Csqrt%5B5%5D%7B2m%5E4p%5E4%7D)
Step-by-step explanation:
We want to find the fifth root of
. In order to do so, we need to factorise
Let's factorise 486 first:
486 = 2 * 243 = 2 * ![3^5](https://tex.z-dn.net/?f=3%5E5)
Ah, we see that
can be taken out and becomes 3 outside of the 5th root since the 5th root of
Now look at the variables. We see that since we have p^"4", whose exponent is less than 5, it's impossible for us to write it as a power of 5, so we leave this in the root.
We also have m^"9", which can be written as m^"5" * m^"4". Again, we see that the m^"4" term will have to remain inside the root, but we can take out the m^"5", which becomes m.
Our final answer is thus:
.
<em>~ an aesthetics lover</em>