Answer:
Step-by-step explanation:
Janet can make:
4/5 of a necklace in 20min
2(4/5)=8/5 ............in 40 min
3(4/5)=12/5 ............in 60 min( one hour)
12/5=2 2/5 necklaces in one hour
or 2.4n in one hour
The Lagrangian is

with critical points where the partial derivatives vanish.



Substitute
into the last equation and solve for
:

Then we get two critical points,

We get an absolute maximum of
at the second point, and an absolute minimum of
at the first point.
We can use the factor label method for this problem. The real hint to these types of equations are the units. In this case the units are in miles per hour for the rate.
15 miles/ 2.5 hours = 6mph or 6 miles/hours
If his rate was 1 mph slower we just subtract 1 from 6 mph
6mph - 1mph= 5 mph.
Hope this helps, good luck.
The formula on nth term is l=ar^(n-1)
The 1st term is 2 & r,the ration =3
Then is 2x3^(n-1). Mind you (n-1) is an exponent on 3
ANSWER

EXPLANATION
The point-slope form of a line is given by;

where

is the slope of the line and (6,-1) is point.
We substitute the point and the slope into the formula to obtain:

Hence the b point slope form of the line with the given properties is