Consider the functions
1 answer:
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Answer:
See Below.
Step-by-step explanation:
By the definition of the logarithm, if we have:
This means that we have some value <em>y</em> such that:
If <em>x</em> is -8, then:
As you can see,<em> </em>there is no real value* that can make the result negative. No matter what the value of <em>y</em> is, we will simply get another positive value.
So, -8 or any other negative value or zero is not included in our domain. 0 is not included because, likewise, we can’t raise 2 to a power and get 0 as a result.
*There is no <em>real</em> value for which 2 raised to <em>y</em> is -8. However, as you will learn much much later, there are in fact <em>infinitely</em> many <em>complex </em>(imaginary) solutions such that 2 raised to <em>y </em>is indeed -8.
Answer:
Time left for each question is less than 5.5 minutes
Step-by-step explanation:
Given that:
Raphael is trying to solve 5 math questions in less than 20 minutes.
3 questions have been completed which have taken 3 minutes each.
To find:
How much time is left with Raphael for each question so as to reach his goal.
Solution:
First of all, let us find the time that has been already consumed by Raphael in solving the 3 questions.
3 3 = 9 minutes
Time left = Total Time - Time already consumed
Time left = 20 - 9 = 11 minutes
Number of questions to be solved = Total questions - Questions solved
Number of questions to be solved = 5 - 3 = 2
Average time left for each question = Time left divided by Number of questions to be solved
Average time left for each question = 11 2 = 5.5 minutes
Therefore, time left for each question is less than 5.5 minutes.