Answer:
The slope is 2
Step-by-step explanation:
Hey there!
In order to compare these fractions, we can give them a common denominator.
Our least common multiple of 3 and 8 is 24. We multiply 2/3 by 8/8 and 5/8 by 3/3 to get
16/24 and 15/24
Therefore, 2/3 is bigger.
Hope this helps!
Answer:
1,215 Superscript one-fifth x
Step-by-step explanation:
Given:
The expression to simplify is given as:
![(\sqrt[5]{1215})^x](https://tex.z-dn.net/?f=%28%5Csqrt%5B5%5D%7B1215%7D%29%5Ex)
We know that,
![\sqrt[n]{a} = a^{\frac{1}{n}}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%7D%20%3D%20a%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D)
Here, 
So, ![\sqrt[5]{1215} = 1215^{\frac{1}{5}}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B1215%7D%20%3D%201215%5E%7B%5Cfrac%7B1%7D%7B5%7D%7D)
So, the above expression becomes:
Now, using the law of indices 
Here, 
So, the expression is finally simplified to;

Therefore, the second option is the correct one.
= 1,215 Superscript one-fifth x
Y = 3x + 5
y - 5 = 3x
x = (y - 5)/3
g^-1(x) = (x - 5)/3
Answer:
C) 12√2
Step-by-step explanation:
According to the 45-45-90 triangle x should be a√2 and since a = 12 (in this case) the answer is 12√2.