Step-by-step explanation:
n/12=10
n=10*12
n=120
Number 7 is 16 and #6 is 29
and 8 is 45
<u>Answer:</u>
The equation of a line, in point slope form that passes through (-2, -6) and has a slope of 1/3 is 
<u>Solution:</u>
Given that line passes through (-2, -6) and has slope of 1/3
We have to find the equation of the line
The point slope form is given as

where m is the slope of the line and a, b are the x, y coordinates of the given point through which the line passes.
Here in this question, m = 1/3 and a = -2 and b = -6
By substituting in point slope form we get,

Hence the equation of a line, in point slope form that passes through (-2, -6) and has a slope of 1/3 is 
RemarkIf you don't start exactly the right way, you can get into all kinds of trouble. This is just one of those cases. I think the best way to start is to divide both terms by x^(1/2)
Step OneDivide both terms in the numerator by x^(1/2)
y= 6x^(1/2) + 3x^(5/2 - 1/2)
y =6x^(1/2) + 3x^(4/2)
y = 6x^(1/2) + 3x^2 Now differentiate that. It should be much easier.
Step TwoDifferentiate the y in the last step.
y' = 6(1/2) x^(- 1/2) + 3*2 x^(2 - 1)
y' = 3x^(-1/2) + 6x I wonder if there's anything else you can do to this. If there is, I don't see it.
I suppose this is possible.
y' = 3/x^(1/2) + 6x
y' =

Frankly I like the first answer better, but you have a choice of both.
Option B: 5 is the value of f(3)
Explanation:
The equation of the piecewise function is given by

We need to find the value of 
The value of the function f can be determined when
by identifying in which interval does the value of
lie in the piecewise function.
Thus,
lies in the interval
, the function f is given by

Substituting
in the function
, we get,


Thus, the value of
is 5.
Therefore, Option B is the correct answer.