<h2>
Hello!</h2>
The answer is:
The range of the function is: 
Range: y>2
or
Range: (2,∞+)
<h2>
Why?</h2>
To calculate the range of the following function (exponential function) we need to perform the following steps:
First: Find the value of "x"
So, finding "x" we have:

Second: Interpret the restriction of the function:
Since we are working with logarithms, we know that the only restriction that we found is that the logarithmic functions exist only from 0 to the possitive infinite without considering the number 1.
So, we can see that if the variable "x" is a real number, "y" must be greater than 2 because if it's equal to 2 the expression inside the logarithm will tend to 0, and since the logarithm of 0 does not exist in the real numbers, the variable "x" would not be equal to a real number.
Hence, the range of the function is: 
Range: y>2
or
Range: (2,∞+)
Note: I have attached a picture (the graph of the function) for better understanding.
Have a nice day!
 
        
        
        
Answer:
 
The degrees of freedom are given by:

The p value for this case would be given by:
 
Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviation is not ignificantly lower than 5 minutes 
Step-by-step explanation:
Information given
 represent the sample size
 represent the sample size
 represent the confidence level
 represent the confidence level  
 represent the sample variance
 represent the sample variance
 represent the value that we want to  verify
 represent the value that we want to  verify
System of hypothesis
We want to test if the true deviation for this case is lesss than 5minutes, so the system of hypothesis would be:
Null Hypothesis:  
Alternative hypothesis:  
The statistic is given by:
 
And replacing we got:
 
The degrees of freedom are given by:

The p value for this case would be given by:
 
Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviation is not ignificantly lower than 5 minutes 
 
        
             
        
        
        
X= 2 and y=-2 check by multiplying
        
             
        
        
        
Answer:
  hrs/house
hrs/house 
Step-by-step explanation:
 Rate is the amount of work done per unit of time;
   Let Cara's rate  = C
    Let Jena's rate  = J 
         C + J  = 4  ------ i 
Now;
   Working alone:
              Jena takes twice as long as Cara
                           J  = 2C  ---- i 
How long does it take Cara to clean a house alone 
            C + J  = 4 
              J = 2C 
         C + 2C = 4 
            3C = 4 
               C =  hrs/house
hrs/house 
 
        
             
        
        
        
Answer:
4x - 6
Step-by-step explanation:
6 less is -6
product of four and a number x is 4x