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
.
Answer:
$149.00
Step-by-step explanation:
Selling Price = Final Price / 1 + Sales Tax
(reverse tax calculator)
"For Example:
If your total receipt amount was $57.98, and you paid 1.07 percent in sales tax, you’d simply plug those numbers into our calculator to find out that your original price before tax was $57.37. From there, it is a simple subtraction problem to figure out that you paid .61 cents in sales tax."
Answer:

Step-by-step explanation:

Answer:
12. P(4) = 1/6
13. P(odd) = 3/6 = 1/2
Step-by-step explanation:
hope this helps, pls mark brainliest :D