Answer:
Local minimum at x = 0.
Step-by-step explanation:
Local minimums occur when g'(x) = 0 and g"(x) > 0.
Local maximums occur when g'(x) = 0 and g"(x) < 0.
Set g'(x) equal to 0 and solve:
0 = 2x (x − 1)² (x + 1)²
x = 0, 1, or -1
Evaluate g"(x) at each point:
g"(0) = 2
g"(1) = 0
g"(-1) = 0
There is a local minimum at x = 0.
I would split it like this so you have:
- A rectangle that's 8 x 10
- A square that's 4 x 4
- A triangle with a base = 2 and a height = 4
Area of rectangle: b * h
8 * 10 = *80*
Area of square: b * h
4 * 4 = *16*
Area of triangle: 1/2 * b * h
(1/2)(2)(4) = *8*
Add up the areas:
80 + 16 + 8
104 is your an answer!
Answer:
-2x^2 +16x -8
Step-by-step explanation:
Oh s-
Like terms i guess Same variable you can substract. Remember you only substract from 1 number not from all.
-2x^2 stays the same as there is no like term
9x - (-7x)
-2 - (6)
-2x^2 + 9x+ 7x -2-6
-2x^2 +16x -8
Answer:
The distance you are from the base of plateau = 
Step-by-step explanation:
Given:
Height of plateau = 70 m
Angle of elevation to the top of plateau = 35°
To find the distance you are from the base of plateau.
We will construct a triangle ABC to model the given situation. The triangle would be a right triangle for which we know an angle and its opposite side. We need to find the adjacent side of the triangle.
We will apply trigonometric ratio to find the adjacent side.

where
represents the angle of reference.
Plugging in the values from the triangle.


Multiplying both sides by AC.


Dividing both sides by 

∴ 
The distance you are from the base of plateau = 