Step-by-step explanation:
Take the first derivative


Set the derivative equal to 0.




or

For any number less than -1, the derivative function will have a Positve number thus a Positve slope for f(x).
For any number, between -1 and 1, the derivative slope will have a negative , thus a negative slope.
Since we are going to Positve to negative slope, we have a local max at x=-1
Plug in -1 for x into the original function

So the local max is 2 and occurs at x=-1,
For any number greater than 1, we have a Positve number for the derivative function we have a Positve slope.
Since we are going to decreasing to increasing, we have minimum at x=1,
Plug in 1 for x into original function


So the local min occurs at -2, at x=1
Which list shows the integers in order from lest to greatest ? -8 , -5 , 0 , 2 , 6 0 , 2 , -5 , 6 , -8 -5 , -8 , 0 , 2 , 6 0 , -
Elina [12.6K]
Answer:
a.-8,-5,0,2,6
Step-by-step explanation:
We have to find the list which shows the integers in order from least to greatest.
We know that when we left side of zero on a number line then the values decrease and we go right side of zero then the value increases.
a.-8,-5,0,2,6
-8<-5<0<2<6
Hence, it is true.
b.0,2,-5,6,-8
-8 least and 6 is greatest
Therefore, it is false.
c.-5,-8,0,2,6
It is false.
d.0,-8,-5,2,6
It is false.
Option a is true,
Answer:
x = -1 and y = 1
Step-by-step explanation:
5x + 2y = -3 . . . . . . . (i)
x + 5y = 4 . . . . . . . (ii)
- Finding x in terms of y from eq. (ii) :-
x + 5y = 4
x = 4 - 5y
- Placing this value of x in eq. (i) :-
5(4 - 5y) + 2y = -3
20 - 25y + 2y = -3
-23y = - 23
<u>y = 1</u>
- Placing the value of y in eq. (i)
5x + 2(1) = -3
5x + 2 = -3
5x = - 5
<u>x = -1</u>
(0,-5) and (3,-4) Hope this helps