It is predicted that for the next 8 years, the number of connected devices in households across the world will be 18.36% more th
2 answers:
<h2>Hello!</h2>
The answer is:
B. Exponential growth
<h2>Why?</h2>From the statement we know that "It is predicted that for the next 8 years, the number of connected devices in households across the world will be 18.36% more than the previous year."
We know that the expression "will be 18.36% more than the previous year" involves a non-linear growth, since the number of connected devices from a year to another will be related to the previous year, so, we can modelate the situation establishing an exponential growth relationship.
We can calculate the exponential growth using the following equation:
Hence, the answer is:
B. Exponential growth
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The statements that are true about the intervals of the continuous function are Options 2, 4 and 5
- f(x) ≤ 0 over the interval [0, 2].
- f(x) > 0 over the interval (–2, 0).
- f(x) ≥ 0 over the interval [2, ).
Looking at the values given, the intervals which satisfies the condition are known to be:
f(x)<=0 over the interval [0,2]
f(x)>0 over the interval (-2,0)
f(x)>=0 over the interval [2,∞)
Because:
Since the table with x and f(x) values, we have to examine analyze the table and see the each option that is in line with f(x) or not .
Examine the values of x that is from -3 to 3, the f(x) values are both positive and negative . hence f(x)>0 is false over the interval (-∞,3)
Looking at the the interval from 0 to 2, the f(x) values are 0 and negative. Hence, f(x)<=0 over the interval [0,2]
When you look over the interval (-1,1), the f(x) values are said to be both positive and negative and as such, f(x)<0 is false over the interval (-1,1)
When you look at the interval (-2,0) , the f(x) is positive and as such, f(x)>0 over the interval (-2,0)
Looking at the interval [2,∞), f(x) is positive and as such, f(x)>=0 over the interval [2,∞)
Therefore, Option 2, 4 and 5 are correct.
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