Brainlies the distance traveled, in meters, of a coin dropped from a tall building is modeled by the equation d(t) = 4.9t^2 where d equals the distance traveled at time t seconds and t equals the time in seconds. what does the average rate of change of d(t) from t = 3 to t = 6 represent? the coin travels an average distance of 44.1 meters from 3 seconds to 6 seconds. the coin falls down with an average speed of 14.7 meters per second from 3 seconds to 6 seconds. the coin falls down with an average speed of 44.1 meters per second from 3 seconds to 6 seconds. the coin travels an average distance of 14.7 meters from 3 seconds to 6 seconds.

Average rate of change from t = 3 to t = 6 is (d(6) - d(3) )/(6 - 3) = (4.9(6)^2 - 4.9(3)^2)/3 = (4.9(36) - 4.9(9))/3 = (176.4 - 44.1)/3 = 132.3/3 = 44.1

Therefore, the coin travels an average distance of 44.1 meters from 3 seconds to 6 seconds.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

figure c

step-by-step explanation:

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