Answer:
The conclusion is invalid.
The required diagram is shown below:
Step-by-step explanation:
Consider the provided statement.
If you Sleepwell, you will have extra energy Therefore, if you don't have extra energy. you are not taking Sleepwell.
From the above statement we can concluded that Sleepwell is the subset of extra energy.
If you don't have extra energy that means you can not be in the set of those taking sleepwell
Therefore, the conclusion is valid.
The required diagram is shown below:
We have the following expression:
log8 (3 ^ root (1/64))
Rewriting the expression we have:
log8 (1/4)
The equivalent expression for logarithm properties is:
log8 (1/4) = - 2/3
Answer:
The answer for this case is given by:
-2/3
option C
Answer:
i believe its the 3rd one but not sure
Step-by-step explanation:
The y-intercept of a function is that function's value when x=0.
.. f(0) = 4
.. g(0) = 0
These y-intercepts differ by 4.
If you want them to differ by zero (be the same), you have to move them to the same point.
Selection 1. Moves f(0) down 3 (to 1) and g(0) up 1 (to 1), so moves the y-intercepts to the same point. This is what you want, so this is an appropriate answer selection.
Selection 2. Moves f(0) up 4 (to 8) and g(0) down 1 (to -1). 8 and -1 are not the same point, so this is not the answer.
Selection 3. Moves f(0) down 2 (to 2) and g(0) up 1 (to 1). 2 and 1 are not the same point, so this is not the answer.
Selection 4. Moves f(0) up 3 (to 7) and g(0) down 6 (to -6). 7 and -6 are not the same point, so this is not the answer.
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The appropriate choice is the 1st one.
f(x) - 3 and
g(x) + 1