X^2-4x-5/x-2 divided by 2x-10/x^2-4
1 answer:
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<u>Answer- </u>Wendy spent 3 hours on the train
<u>Solution-</u>
The distance between the cities= 500 mi.
She traveled part of the way by bus, and other part by train.
The bus averaged 40 mph, and the train averaged 120 mph.
The entire trip took 6.5 hours.
let d = distance traveled by train
the total distance was given as 500 mi ,
therefore, distance traveled by bus = (500-d) mi
time = distance/speed
⇒ train traveling time + bus traveling time = 6.5 hrs
⇒
⇒ d + 3(500-d) = 120(6.5)
⇒ d + 1500 - 3d = 780
⇒ 2d = 720
⇒ d = 360 mi
so d = 360 mi by train
⇒ 360/120 = 3 hrs on the train
The piece-wise function is defined as follows:
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A piece-wise function is a function that has multiple definitions, depending on the input.
In this graph, for x at least 0 and less than 3, the parabolic curve passes through (0,0), (1,1), (2,4) and has an open interval at (3,9), hence the definition is:
For x greater than 3 and at most 6, it is a line going through (3,9) and (6,4), hence:
Goes through (3,9), hence:
b = 14.
So
For x between 6 and 10, it is a line going through (6,4) and (10,10), hence:
Then:
When x = 10, f(x) = 10, hence:
10 = 15 + b
b = -5.
Hence:
More can be learned about piece-wise functions at brainly.com/question/24734454
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Step-by-step explanation:
This problem expects us to model the equation for the total cost of the services of the plumber given the conditions stated.
Say the fixed amount charged for coming to your house is $10
say the fix amount charged per is $3
and the time spent to do the job is X
Hence the scenario can be modeled as
the equation is similar to the equation of a straight line