Answer:
2
Step-by-step explanation:
g(x) = 1/2x - 1
g(6= 1/2*6-1= 3-1= 2
Answer:
Constant of proportionality: 
Equation: 
Step-by-step explanation:
By definition, Direct proportion equations have the following form:

Where "k" is the Constant of proportionality.
In this case, let be "c" the the amount of caffeine consumed (in mg) from a glass of Diet Pepsi and "d" the number of ounces that was drank.
So, the equation that represents this relationship will have this form:

Then, the first step is to find the Constant of proportionality "k".
Knowing that:

We can substitute values into the equation:

Now, solving for "k", we get:

Therefore, we can write the following equation that represents that proportional relationship:

Answer:
4x^2+32x+64
Step-by-step explanation:
This question is incomplete, the complete question is;
For what value of a is the volume of the tetrahedron formed by the coordinate planes and the plane (x/a) + (y/10) + (z/6) = 1 equal to 10?
Answer: the value of a is 1
Step-by-step explanation:
Given that;
Volume of tetrahedron bounded by plane (x/a) + (y/10) + (z/6) = 1
and coordinate plane is; V = 1/6|abc|
(x/a) + (y/10) + (z/6) = 1
volume = 10
so
10 = 1/6 | a × 10 × 6 |
60 = a × 10 × 6
60 = 60a
a = 60 / 60
a = 1
Therefore the value of a is 1
Basic properties that will be used:

![x^{1/n}=\sqrt[n]x](https://tex.z-dn.net/?f=x%5E%7B1%2Fn%7D%3D%5Csqrt%5Bn%5Dx)

All of these expression can be written to match on or more of the patterns above.
![19.\quad\log_5\sqrt[4]{25}=\log_5(5^2)^{1/4}=\dfrac14\log_55^2=\dfrac12\log_55=\dfrac12](https://tex.z-dn.net/?f=19.%5Cquad%5Clog_5%5Csqrt%5B4%5D%7B25%7D%3D%5Clog_5%285%5E2%29%5E%7B1%2F4%7D%3D%5Cdfrac14%5Clog_55%5E2%3D%5Cdfrac12%5Clog_55%3D%5Cdfrac12)



![27.\quad\log_3\sqrt[6]{243}=\log_3(3^5)^{1/6}=\dfrac16\log_33^5=\dfrac56\log_33=\dfrac56](https://tex.z-dn.net/?f=27.%5Cquad%5Clog_3%5Csqrt%5B6%5D%7B243%7D%3D%5Clog_3%283%5E5%29%5E%7B1%2F6%7D%3D%5Cdfrac16%5Clog_33%5E5%3D%5Cdfrac56%5Clog_33%3D%5Cdfrac56)