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Let x = charge before tax in 1st city, and y = charge before tax in 2nd city
y = $1500 + x
4/100x => tax in first city
3.5/100y => tax in second city
0.04x + 0.035y = $408.75
We have the following system of equations to solve:
So the hotel charge before tax in city 1 = $4750, and the hotel charge before tax in city 2 = $6250
Answer:
See step by step
Step-by-step explanation:
To find if a function intervals are possible, make sure the points are above the x axis.
The graph is getting positve around x=-3 but it isn't positive yet.
The graph is positve until x=-1
The graph becomes positive again again at x=2 and is positive infinitely forever.
So let set up our interval
We are going to start at -3 since that where it start getting positive, we then going to use the greater than sign since it get positve as we go to the right as of right now. We use the greater than becuase we are not going to include -3 as our solutions.
We then use a less than sign since the answer must be less than -1 becuase around-1 it start getting negative.
It becomes positive again at x=2 so since we going to left to right use the greater than sign becuase we are not including 2.
It infinitely becomes positive so our interval is x must be cause greater than w becuase it can be any interval greater than two.
and
The roots or zeroes are the x intercept of the graph,(when y=0, what is the x value.)
The x intercepts are -3 and 2.