Answer:
The domain of the function is the interval [0,2.23]
see the explanation
Step-by-step explanation:
Let
t ----> the time in seconds
h(t) ----> the height of the laptop in units
we have

we know that
When the laptop hits the ground, the value of h(t) is equal to zero
so
For h(t)=0

Solve the quadratic equation
The formula to solve a quadratic equation of the form
is equal to
in this problem we have

so
substitute in the formula
---> is not a solution
therefore
The domain of the function is the interval [0,2.23]
All real numbers greater than or equal to 0 seconds and less than or equal to 2.23 seconds

Answer: 87%
Solution:
87 correct questions over 100 = 87/100 = .87 = (change to percent by moving the decimal 2 places to the right) 87%
Answer: (4y - 3)(3x - 2)
Step-by-step explanation: Factor the polynomial.
Hope this helps! :) ~Zane
Answer:
Remember that:
Speed = distance/time.
Then we can calculate the average speed in any segment,
Let's make a model where the average speed at t = t0 can be calculated as:
AS(t0) = (y(b) - y(a))/(b - a)
Where b is the next value of t0, and a is the previous value of t0. This is because t0 is the middle point in this segment.
Then:
if t0 = 100s
AS(100s) = (400ft - 0ft)/(200s - 0s) = 2ft/s
if t0 = 200s
AS(200s) = (1360ft - 50ft)/(300s - 100s) = 6.55 ft/s
if t0 = 300s
AS(300s) = (3200ft - 400ft)/(400s - 200s) = 14ft/s
if t0 = 400s
AS(400s) = (6250s - 1360s)/(500s - 300s) = 24.45 ft/s
So for the given options, t = 400s is the one where the velocity seems to be the biggest.
And this has a lot of sense, because while the distance between the values of time is constant (is always 100 seconds) we can see that the difference between consecutive values of y(t) is increasing.
Then we can conclude that the rocket is accelerating upwards, then as larger is the value of t, bigger will be the average velocity at that point.