Which of the following functions is graphed below?
1 answer:
The correct answer is A.
Since all of the functions in this problem are exactly the same, all we are looking for is the proper "greater than" and "less than" signs.
The first part of the equation, represented by x^3 - 3 ends at 2. You'll notice that it ends in a closed dot. This means we must use a rather than a <. The equals bar always goes below the sign when it is a closed dot.
The opposite is true for the second part, which includes an open dot. This means we must use a > instead of a .
Since A is the only one that has those as choices, it is the correct answer.
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Answer: In June 2097
Step-by-step explanation:
According to the model, to find how many years t should take for we must solve the equation
. Substracting 21100 from both sides, this equation is equivalent to
.
Using the quadratic formula, the solutions are and
. The solution
can be neglected as the time t is a nonnegative number, therefore
.
The value of t is approximately 85 and a half years and the initial time of this model is the January 1, 2012. Adding 85 years to the initial time gives the date January 2097, and finally adding the remaining half year (six months) we conclude that the date is June 2097.