Answer:
Step-by-step explanation:
The average rate of change between two points on a graph is ...
average rate of change = slope = rise/run
The rise over the given interval is the function value at x=8 less the function value at x=5. That is, ...
rise = 1 - 10
The run is the difference in the x-values:
run = 8 - 5
Then the average rate of change is ...
average rate of change = rise/run = (1 -10)/(8 -5)
_____
Here, the points are written as (x, y), so the only pair we're interested in is ...
(5, 10) and (8, 1)
Answer:
B
Step-by-step explanation:
According to the Factor Theorem, if (<em>x</em> - <em>a</em>) is a factor (where <em>a</em> is a zero) of the polynomial P(x), then P(a) must equal zero.
Our zeros are 4, √7, and - √7. Hence, when evaluating P(4), P(√7), and P(-√7), all must evaluate to zero.
Testing each choice, we can see that only choice B is true. That is:
In conclusion, our answer is B.