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Answer:
The function is
The graph is attached.
Step-by-step explanation:
We have a function g(x) and we need to graph a new function that is function of g(x).
The final function is
We start by calculating g(x-2):
Then, we can calculate f(x) as:
The slopes of perpendicular lines are negative reciprocal to each other
ex. the negative reciprocal to 5/2 is -2/5
once you find the perpendicular slope, you plug in the point and slope into the point-slope form of a line and then rearrange it into the slope-intercept form to get your answer
point slope
slope intercept form
ex. the negative reciprocal to 5/2 is -2/5
once you find the perpendicular slope, you plug in the point and slope into the point-slope form of a line and then rearrange it into the slope-intercept form to get your answer
point slope
slope intercept form
Answer:
18 hours
Step-by-step explanation:
The unit rate of intake pipe is [1 tank in 6 hours]
The total unit rate (combined) when 2 work together is [1 tank in 9 hours]
Intake fills up and outlet empties. Thus we can say:
Rate of Intake - Rate of Outlet = Combined Rate
This becomes:
Where x is the rate of outlet pipe [what we are looking for]
Doing algebra we solve for x:
This means "outlet pipe can empty 3 tanks in 54 hours". So that would mean 54/3 = 18 hours to empty 1 tank