Which statement can be supported by using a position-time graph? ООО
A negative slope results when an individual is moving away from the origin.
A horizontal line on the graph means the individual is moving at a non-zero velocity.
A positive slope results when an individual is moving away from the origin.
The speed of an individual cannot be determined from this type of graph.
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answer: at 24 february, 2014 the population gets twice of its initial population.

explanation:

since we have given that

the population for alpha city, t years after january 1, 2004 is given as

first we find out the initial population, i.e. t=0,

so, our quadratic equation becomes,

according to question, we have said that if the population has twice its initial population, then it becomes

so, time taken to reach this above mentioned population is given by

now, we know that time can't be negative so, we take t=9.149 years.

hence, at 24 february, 2014 the population gets twice of its initial population.