168/8 = x
x=21
Thus your equation is 21x where x equals amount of hours worked and 21 equals the amount he makes per hour
Puting it into the quadrait equation ((-b+-[b^2-4ac]^(1/2)/2a), we get that x= 31^(1/2)-5 or 31^(1/2)+5
Answer:
The x-coordinate is \dfrac{\pi}{6}[/tex].
Step-by-step explanation:
We are given a function f(x) as:
![f(x)=2x+\sin (4x)](https://tex.z-dn.net/?f=f%28x%29%3D2x%2B%5Csin%20%284x%29)
Now on differentiating both side with respect to x we get that:
![f'(x)=2+4 \cos (4x)](https://tex.z-dn.net/?f=f%27%28x%29%3D2%2B4%20%5Ccos%20%284x%29)
When ![f'(x)=0](https://tex.z-dn.net/?f=f%27%28x%29%3D0)
this means that ![2+4\cos (4x)=0\\\\4\cos (4x)=-2\\\\\cos(4x)=\dfrac{-1}{2}](https://tex.z-dn.net/?f=2%2B4%5Ccos%20%284x%29%3D0%5C%5C%5C%5C4%5Ccos%20%284x%29%3D-2%5C%5C%5C%5C%5Ccos%284x%29%3D%5Cdfrac%7B-1%7D%7B2%7D)
Hence, cosine function takes the negative value in second and third quadrant but we have to only find the value in the interval
.
also we know that
----(1) (which lie in the second quadrant)
so on comparing our equation with equation (1) we obtain:
![4x=\dfrac{2\pi}{3}\\\\x=\dfrac{\pi}{6}](https://tex.z-dn.net/?f=4x%3D%5Cdfrac%7B2%5Cpi%7D%7B3%7D%5C%5C%5C%5Cx%3D%5Cdfrac%7B%5Cpi%7D%7B6%7D)
Hence, the x-coordinates where
for
is
.
Answer:
$12
Step-by-step explanation:
Step 1:
$8 : 4 = x : 6
Step 2:
4x = 48
Answer:
x = 12
Hope This Helps :)