Answer:
Average rate of change = 
Step-by-step explanation:
Average rate of change of a function 'f' in the interval a ≤ x ≤ b is given by,
Average rate of change = 
We have to find the average rate of change in the interval 20 ≤ x ≤ 65
From the table attached,
f(65) = 32
f(20) = 14
Average rate of change = 
= 
= 
Therefore, average rate of change in the given interval is
.
2x^2 - 2x - 40 = 2x^2 -10x + 8x - 40 = 2x(x - 5) + 8(x - 5)
= (x-5)(2x+8) = 2(x-5)(x+4)
Answer:
7 -5i
Step-by-step explanation:
The additive inverse is the number we add to make it equal to zero
-7+5i + x = 0
the real part
-7 + x = 0
x = 7
The imaginary part
5i+x = 0
x = -5i
The complex x is
7 -5i
Notice it is the opposite of the number
- (-7+5i)
7-5i
By pythagoreans' theorem,
Longer edge
= √(2² + 6²)
= √40
∴ The length of the longer edge is the square root of 40 feet.
Shorter edge
= √(1² + 3²)
= √10
Area = L × B
= √40 × √10
= 20 feet²