A. Re(z)= 32 and Im(z)= 41.9 
The real part of a complex number z=a+bi is ‘a’, and the imaginary part is ‘b’
        
             
        
        
        
Answer: 23, 25, 27
Step-by-step explanation:
Let the 3 consecutive odd numbers be x, x+2 and x+4.
So
2x+(x+2)+3(x+4)=152
2x + x + 2 + 3x + 12 = 152
6x+14=152
6x = 152 - 14
x=138/6
x=23
So, the numbers are 23, 25 and 27.
 
        
             
        
        
        
Answer:
A
Step-by-step explanation:

 
        
             
        
        
        
Answer:
The system of inequalities is
 
 

The solution in the attached figure
Step-by-step explanation:
<u><em>The question is</em></u>
Write a system of linear inequalities.
Le
x ---> number of scarves knitted per week
y ---> number of knitted sweaters per week
we know that
Mary would like to spend no more than 40 hours per week knitting
The word "No more" means "less than or equal to"
so
 ----> inequality A
 ----> inequality A
Mary would like to knit at least 5 items per week
The word "at least" means "greater than or equal to"
 ----> inequality B
 ----> inequality B
Solve the system by graphing
The solution is the triangular shaded area
see the attached figure