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:
(letters are going in order from top to bottom)
<u>Statistical</u> <u>Nonstatistical</u>
A
B
C
D
E
F
Answer:
320
Step-by-step explanation:
6400 x minute = 6400/60 = 106.66666666666666666666666666667 ft/h
*3=320ft
320ft to miles = 0.0606061
To find $9,567 rounded to the nearest hundred you must first find the hundreds place which is where 5 is then according to the number behind it you either round up or you keep 5 the same since the number behind 5 is 6 you round 5 up one which brings 5 to 6 now everything behind your new number is turned to 0. so your new amount would be $9,600
These are what you can plot:
(-2, 0.444), (-1, 0.667), (0,1), (1, 1.5,), (2,2.25)