Answer:
Option (2). Increasing x > 0; decreasing x < 0
Step-by-step explanation:
Equation of the parabola having vertex (0, 3) will be,
y = (x - 0)² + 3
y = x² + 3
To check the function is increasing or decreasing in the given intervals we will find the derivative of the function,

y' = 2x
For x < 0 Or x = -1
y' = 2(-1)
   = -2 < 0
Therefore, function is decreasing in x < 0
For x > 0 Or x = 1
y' = 2(1) + 3
   = 5 > 0
Therefore, function is increasing in x > 0
Option (2) is the answer.
 
        
             
        
        
        
The probability that the new UNC-CH logo will be profitable is <u>0.9897 </u>while the probability for NC State will be <u>0.9600.</u>
<h3 /><h3>What is the probability that the brands will be successful?</h3>
The probability that the UNC-CH logo is successful is:
= Favorable odds / Total odds 
= 96 / (96 + 1)
= 0.9897
The probability that the NC State logo is profitable is:
= Favorable odds / Total odds 
= 24 / (24 + 1)
= 0.9600
There is less than a 3% variation in both logos' profitablility probability so the company should not spend 4 times more on UNC-CH.
Find out more on probabilities of profit at brainly.com/question/13500115.
#SPJ1
 
        
             
        
        
        
I think it would be B. Hope this helps!
        
                    
             
        
        
        
Step-by-step explanation:
log(x+2)-log(x-1)=log2
log(x+2)/(x-1)=log2
=> (x+2)=2(x-1)
=>x+2 =2x-2
=> x=4