Answer:
10.67 m
Step-by-step explanation:
Velocity is given as;
v(t) = t² − t − 6
To get the distance, we will integrate the velocity equation.
x(t) = ∫v(t) = (t³/3) - (t²/2) - 6t
Thus, from t=0 seconds to t=4 seconds., we have;
(t³/3) - (t²/2) - 6t between 0 and 4.
Thus;
Total Distance = [(4³/3) - (4²/2) - 6(4)] - [(0³/3) - (0²/2) - 6(0)]
Total distance = (64/3) - 8 - 24 = -10.67 m
Distance can't be negative and so we take the absolute value which is 10.67 m
The least common multiple of 24, 27, and 108 is 3
Answer:
Step-by-step explanation:
What is the image of (0,6) after dilation by a scale factor of 1/3 centered at the origin
Let y = ax²+bx+c then substitute all of orders. we'll be doing equations system.
Ok we are at this.
Substitute c = 3 into equation 1 and equation 3.
then addition and subtract for a-b = 3 and a+b = -1
Therefore a = -2, substitute a = -2 in a-b+c=0 or a+b+c=2 but i'm doing a-b+c=0 one.
Therefore b = 1, substitute both a, b and c into y=ax²+bx+c as we get,
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