For this case, we have that the equation of the position is given by:

To find the velocity, we must derive the equation from the position.
We have then:

Then, we evaluate the derivative for time t = 8.
We have then:
Answer:
the instantaneous velocity at t = 8 is:
Answer:
n = 6 +
or n = 6 - 
Step-by-step explanation:
We can solve this equation using the quadratic formula OR Completing the Square method.
n² + 14 = 12n
rearrange : n² - 12n + 14 = 0
here a= 1 , b = -12, c = 14
the quadratic formula says: x = - b/ (2a) + root(b^2 - 4ac) / (2a)
or x = - b/ (2a) - root(b^2 - 4ac) / (2a)
x = - (-12)/ (2) + root((-12)^2 - 4*14) / (2)
x = 6 + root (144 - 56) / 2
x = 6 + root(88)/2
x = 6 + root(4*22) / 2
x = 6 + 2*root(22)/2
x = 6 + root(22) = 6 + 
so x =6 +
or x = 6 - 
In this case x = n
n = 6 +
or n = 6 - 
Answer:
the answer is -352..........
Answer:
x = 145.161290323
x ≈ 145.161
Step-by-step explanation:
9.3x + 450 = 1800
-450 -450
9.3x = 1350
/9.3 /9.3
x = 145.161290323
x ≈ 145.161
Hope this helps!