Answer:
x = 4 or x = 12
Step-by-step explanation:
Given:
y = -10x² + 160x - 430
When y = $50
50 = -10x² + 160x - 430
50 + 430 = -10x² + 160x
480 = -10x² + 160x
-10x² + 160x - 480 = 0
Divide through by -10
x² - 16x + 48 = 0
Solve the quadratic equation using factorization method
+48 = -12 × -4
-16 = -12 -4
Therefore,
-12 and -4 are both factors
x² - 16x + 48 = 0
(x - 4 )(x - 12 ) = 0
x - 4 = 0
x = 4
OR
x - 12 = 0
x = 12
The average travel time is simply the mean travel time between the given points
- The average time that it takes for the car to travel the first 0.25m is 2.23s.
- The average time to travel just between 0.25m and 0.50m is 0.9s.
- Given the time taken to travel the second 0.25 m section, the velocity would be 0.28m/s.
<u>(a) The average time to travel the first 0.25m</u>
The time travel in the first 0.25m are: 2.24s, 2.21s and 2.23s.
So, the average time to travel is:



<u>(b) The average time to travel just between 0.25m and 0.50m</u>
The time travel in the 0.50m are: 3.16s, 3.08s and 3.15s.
So, the average time to travel this distance is:



The average time to travel between both distance is the difference between the average time of each distance.
So, we have:


<u>(c) The velocity in the second 0.25m section</u>
The distance and time are:


So, the velocity is:

This gives


Read more about distance, velocity and time at:
brainly.com/question/4931057