Answer:
-3/4
Step-by-step explanation:
2 is an integer
-8/2 can be simplified to -4 which is an integer
-3/4 is a fraction that when divided produces a decimal. It is not an integer.
-5 is an integer
Due to the cause it would end up being the second option
Answer:
1/3
Step-by-step explanation:
The average rate of change of a function f(x) on an interval [a, b] is given by the formula ...
rate of change = (f(b) -f(a))/(b -a)
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For the given function and interval, this is ...
(log₂(4·8) -log₂(4·2))/(8 -2) = (5 -3)/(6) = 1/3
The average rate of change is 1/3.
_____
In the attached graph, the line between the points at the ends of the interval can be seen to have a rise of 1 for a run of 3. Its slope is 1/3.
Answer: Option b.
Step-by-step explanation:
1. You can rewrite it as following:

This means that you must substitute x=-6 into the limit. There is not x, then the function is always equal to 2, no matter the value of x.


This means that you must substitute x=-6 into the limit. There is not x, then the function is always equal to 1, no matter the value of x.

2. Then:

3. The answer 2.
Answer:
10.3
Step-by-step explanation:
Let the given points be the endpoints of a right triangle. The horizontal change in x is from 4 to -5 and is negative 9; the vertical change in y is from -2 to+ 3 and is +5.
The desired distance is found using the Pythagorean theorem:
d = √(9² + 5²) = √106, or 10.3 (to the nearest tength)