The recurring decimal number 9.2424... expressed in mixed number is 
In the given decimal number, 2 is the digit at the tenth place and 4 is the digit at the hundredth place.
The fraction part 
 in the simplest form is 
The whole number part is 9.
Therefore, the number 9.2424... as a mixed number in the simplest form is 
 
        
             
        
        
        
Answer:
Step-by-step explanation:
<h3>Part A</h3>
<u>Solve the equation:</u>
- 6x² + 48x + 120 = 0
 - x² + 8x + 20 = 0
 - x² + 8x + 16 + 4 = 0
 - (x + 4)² + 4 = 0
 - (x + 4)² = - 4
 
The left side is positive and right side is negative so no solution
<h3>Part B</h3>
There is no intercession with the x-axis, the graph of the function is entirely above the x-axis.
It means the diver won't reach the bottom of the lake
 
        
             
        
        
        
The answer you have is good. You don't need to change anything.
        
             
        
        
        
Answer:
2x + 3y ≥ 5
Step-by-step explanation:
See the graph attached.
The bold straight line passes through the points (1,1) and (4,-1).
Therefore, the equation of the straight line will be  
⇒ 3(y + 1) = - 2(x - 4)
⇒ 3y + 3 = - 2x + 8
⇒ 2x + 3y = 5 ............. (1)
Now, the shaded region i.e. the solution to the inequality does not include the origin(0,0).
So, putting x = 0 and y = 0 in the equation (1) we get, 0 < 5
Therefore, the inequality equation is 2x + 3y ≥ 5 (Answer) 
 
        
             
        
        
        
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