Answer:
![21\frac{1}{3}](https://tex.z-dn.net/?f=21%5Cfrac%7B1%7D%7B3%7D)
Step-by-step explanation:
F(x)=1/3•4^x
f(3) = 1/3•4^3 = 64 / 3 = ![21\frac{1}{3}](https://tex.z-dn.net/?f=21%5Cfrac%7B1%7D%7B3%7D)
The value of x is 1
Explanation:
The equation is ![4^x+3=7](https://tex.z-dn.net/?f=4%5Ex%2B3%3D7)
Subtracting both sides by 3, we get,
![4^x=4](https://tex.z-dn.net/?f=4%5Ex%3D4)
Taking log on both sides, we get,
![\log 4^{x}=\log 4](https://tex.z-dn.net/?f=%5Clog%204%5E%7Bx%7D%3D%5Clog%204)
Rewriting the equation by ![4^{x}=u](https://tex.z-dn.net/?f=4%5E%7Bx%7D%3Du)
Thus, we have,
![\log u=\log 4](https://tex.z-dn.net/?f=%5Clog%20u%3D%5Clog%204)
Applying log rule, if
, then ![f(x)=g(x)](https://tex.z-dn.net/?f=f%28x%29%3Dg%28x%29)
Thus, ![u=4](https://tex.z-dn.net/?f=u%3D4)
Substituting
in
, we get,
![4^x=4](https://tex.z-dn.net/?f=4%5Ex%3D4)
Also, since,
, then ![f(x)=g(x)](https://tex.z-dn.net/?f=f%28x%29%3Dg%28x%29)
Thus, ![x=1](https://tex.z-dn.net/?f=x%3D1)
Hence, the value of x is 1
Answer:
x = 33/3 = 11
Step-by-step explanation:
A and B are corresponding angles and are therefore equal.
Thus, A = 8x - 8 = B = 5x + 25, or
3x = 33
and so x = 33/3 = 11
Two lines are parallel if they have the same slope. Two likes are perpendicular if they have opposite reciprocal slopes.
-3x + 7y = 5
7y = 3x +5
slope = 3/7
3y = -7x +15
Slope = -7/3
So, these lines are perpendicular.
Hope this helps!
r+2
Explanation:
because if we add 2 to r which is equal to 4 we can get 6