A spinner with 4 colors is spun for a total of 50 trials. Yellow was selected 10 times. What is the experimental probability of
2 answers:
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Answer:
.
Step-by-step explanation:
Differentiate each function to find an expression for its gradient (slope of the tangent line) with respect to . Make use of the power rule to find the following:
.
.
The question states that the graphs of and
touch at
, such that
. Therefore:
.
On the other hand, since the graph of and
coincide at
,
(otherwise, the two graphs would not even touch at that point.) Therefore:
.
Solve this system of two equations for and
:
.
Therefore, whereas
.
Substitute these two values back into the expression for and
:
.
.
Evaluate either expression at to find the
-coordinate of the intersection. For example,
. Similarly,
.
Therefore, the intersection of these two graphs would be at .