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Sagot :
The delivery is 10 hours from the starting point
How far is the delivery from the starting point?
To do this, we make use of the function definition of the car's path
This is given as:
c(x) =-72|x - 5| + 360
At the delivery point, the car's distance to the delivery point is 0
So, we have:
-72|x - 5| + 360 = 0
Subtract 360 from both sides of the equation
So, we have
-72|x - 5| = -360
Divide both sides of the equation by -72
So, we have
|x - 5| = 5
Remove the absolute bracket
So, we have
x - 5 = 5 and x - 5 = - 5
Add 5 to both sides of the equation
So, we have
x = 10 and x = 0
The solution x = 0 represents the starting point
So, we make use of
x = 10
Hence, the delivery is 10 hours from the starting point
Read more about absolute value functions at:
https://brainly.com/question/3381225
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Complete question
A car and a truck follow the same route on a pair of round-trip deliveries. The function c(x) =-72|x - 5| + 360 represents the distance (in miles) of the car from the starting point after x hours. The truck's distance from the starting point is shown in the graph. How far is the delivery from the starting point?
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