If a function f is increasing on (a,b) and decreasing (b,c), then what can be said about the local extremism of f on (a,c)?
1 answer:
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Answer:
There are 16 Oak tree in the forest.
Step-by-step explanation:
Given: There are 4 Oak tree on every 10 pine trees.
There are total 24 more pine tree than Oak tree.
Using the ratio of trees to find the number of trees.
Lets assume there are total number of Oak tree be "x".
∴ Total number of Pine trees will be
We know the ratio of Oak to Pine tree is 4:10 or
⇒
Multiplying both side by
⇒
Using distributive property of multiplication, distributing 4 with x and 24.
⇒
Multiplying both side by 10
⇒
subtracting both side by 4x
⇒
dividing both side by 6
⇒
∴
Hence, There are 16 Oak trees in the forest.
Answer:
meters.
Step-by-step explanation:
We have been given Mr. Mole left his burrow and started digging his way down at a constant rate.
We are also given a table of data as:
Time (minutes) Altitude (meters)
6 -20.4
9 -27.6
12 -34.8
First of all, we will find Mr. Mole's digging rate using slope formula and given information as:
, where,
represents difference of two y-coordinates,
represents difference of two corresponding x-coordinates of y-coordinates.
Let be
and
be
.
Now, we will use slope-intercept form of equation to find altitude of Mr. Mole's burrow.
, where,
m = Slope,
b = The initial value or the y-intercept.
Upon substituting and coordinates of point
, we will get:
Since in our given case y-intercept represents the altitude of Mr. Mole's burrow, therefore, the altitude of Mr. Mole's burrow is meters.