Let the given complex number
z = x + ix = 
We have to find the standard form of complex number.
Solution:
∴ x + iy = 
Rationalising numerator part of complex number, we get
x + iy = 
⇒ x + iy = 
Using the algebraic identity:
(a + b)(a - b) =
- 
⇒ x + iy = 
⇒ x + iy =
[ ∵
]
⇒ x + iy =
⇒ x + iy =
⇒ x + iy =
⇒ x + iy = 1 - i
Thus, the given complex number in standard form as "1 - i".
Answer:
Next will be 33, 25, and 21
Step-by-step explanation:
The profit:
P = - 0.5 x² + 80 x + 190
The maximum profit will be at the vertex :
x = - b / 2 a = - 80 : ( 2 * ( - 0.5 )) = - 80 : ( - 1 ) = 80 ( in hundreds of dollars )
Answer:
The amount of money that will yield a maximum profit is $8,000.
3.825242926*10^16 is the answer.