Answer:
-3/4
Step-by-step explanation:
Option 1
Direction of the line: Down
-Negative Slope
Rise=-3
Run=4
Rise/Run=-3/4
Option 2
Points: (1,-2) and (-3,1)
y2-y1/x2-x1= 1-(-2)/-3-1
1+2/-3-1
-3/4
Answer:
.
Step-by-step explanation:
1. 6x (4x2)
2. 8.50 per hour
3. 4, 2m, 8, 2, 6
4. 3x (q-11)
Answer: A. 62 m
<u>Step-by-step explanation:</u>
Perimeter is the sum of all of the sides
Top = 20
Sides = 2(8) = 16
<u>Bottom = 20 + 2(3) = 26</u>
Total = 62
Answer:
The critical points of the function
f(x) = 2x(4 - x)³
are x = (1, 4)
Step-by-step explanation:
Given the function
f(x) = 2x(4 - x)³
To find the critical points, we differentiate f(x) to obtain f'(x), and then find the zeros of the resulting quadratic function.
Now, differentiate f(x).
f'(x) = 2(4 - x)³ + 2x(-1)×3(4 - x)²
= 2(4 - x)³ - 6x(4 - x)²
= 2(4 - x)²(4 - x- 3x)
= 2(4 - x)²(4 - 4x)
f'(x) = 8(4 - x)²(1 - x)
Now we set f'(x) = 0 and solve
8(4 - x)²(1 - x) = 0
=> 8(1 - x) = 0
=> 1 - x = 0
=> x = 1
Or
(4 - x)² = 0
x = 4 twice.
So x = (1, 4)
Therefore, the critical points are x = (1, 4)
Answer: 9
Step-by-step explanation: 13-4=9 which is also 4+9=13 so it is 9, because you have to find the difference between the two.