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Answer:
Average velocity is 32 miles/hr.
Step-by-step explanation:
Given that a particle moves on a line away from its initial position so that after t hours it is miles from its initial position.
We have to find the average velocity of the particle over the interval [1, 4].
As, average velocity is the change is position over the change in time.
∴
=
Hence, average velocity is 32 miles/hr.
Answer:
x + y = 13
98x + 115y = z
Step-by-step explanation:
Let x represent the time spent taking class in Westside community college
Let y represent the time spent taking class in Pinewood community college
Let z represent the combined total amount paid for the class fees.
The total combined time for the two school is given as:
x + y = 13.
For the combined total amount; we multiply the price for each school with the time spent on the school and sum them together.
Westside:
Pinewood:
The combined total amount represented as z is given as:
z = 98x + 115y
Answer:
x = 3 ± i
Step-by-step explanation:
Given
x² - 6x + 12 = 0 ( subtract 12 from both sides )
x² - 6x = - 12
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 3)x + 9 = - 12 + 9
(x - 3)² = - 3 ( take the square root of both sides )
x - 3 = ± = ± i
( add 3 to both sides )
x = 3 ± i