Answer:
Hello,
Step-by-step explanation:
Q.5(b) The population {(P) in millions} of a country is estimated by the function, P=125e0.035t, t = time measured in years since 1990. (a) what is the population expected to equal in year 2000 (b) determine the expression for the instantaneous rate of change in the population (c) what is the instantaneous rate of change in the population expected to equal in year 2000.
Answer:
5 or less
Step-by-step explanation:
The speed increased linearly with distance, but is not decreasing linearly with distance. This suggests the track has an unknown shape, so prediction of car behavior is a guess, at best.
If the car continues to decrease its speed at 3 units per unit distance, then the final 3 units of speed will decrease to 0 in one additional unit of distance. That is, the car will stop at a distance of 5 units.
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Since the car has be decreasing its speed at an increasing rate with respect to distance, very possibly the car will stop before it reaches distance unit 5.
Since we don't know the track shape, it seems possible the car may not stop until some large unknown number of distance units, say 10 or 1000.
First you must distribute the 2x to the numbers inside the parentheses
(2x * x) + (2x * -1) = 3
- 2x = 3
To make this a quadratic equation you can solve bring the 3 over to the left side of the equation by subtracting it to both sides
- 2x - 3 = 0
Use the quadratic equation to solve this (image of the quadratic equation is below)
Remember that quadratic functions are set up like so:
That means that in this equation...
a = 2
b = -2
c = -3
^^^Plug these numbers into the quadratic equation and solve...
Keep in mind that +/- is ±
^^^Exact answers
Approximations:
1.823
-0.823
Hope this helped!
~Just a girl in love with Shawn Mendes
