Answer:
3) 14
Step-by-step explanation:
in the given equation replace the "g(x)" with the provided "20"
20=2(x-4) solve as usual
divide each side by 2
10=x-4
add 4 to each side
14=x
the value of x is 14
Answer:

Step-by-step explanation:
Given
y = 3x + 1
Required
Equation of line that passes through (12,-6) and is perpendicular to y = 3x + 1
First, the slope of the line has to be calculated;
Th slope of a line is the coefficient of x in its linear equation;
This implies that the slope of y = 3x + 1 is 3
Having calculated the slope of the first line;
The relationship between both lines are perpendicularity; this implies that 
Where m_1 = 3 and m_2 is the slope of the secodnd line
becomes

Divide both sides by 3


The equation of the line can be calculated using the folloing formula

Where
and 
The equation becomes


Cross multiply


Collect like terms



In an equation using x is just a place holder because those numbers are variables so it doesn't matter whether it is x or w.
We know, Volume of a Sphere = 4/3 πr³
v = 4/3 * 3.14 * 27³
v = 4/3 * 3.14 * 19,683
v = 82406.16 feet³
In short, Your Answer would be Option B
Hope this helps!
Answer:
A) y=.50x+15
B) The graph would be a line starting in the bottom left corner and rising to the upper right, the start of the y axis would be 1, as it represents the miles, and the start of the x axis would be 0.50, as it represents the amount of money charged per mile.
C) If you apply the formula y=mx+b to the equation, you will see that 0.50 is the slope, and 15 is the y-intercept.