Answer:
D. -5 <= x < 1
Step-by-step explanation:
the values under the square-root radical must not be negative, AND
the value of the denominator must not be 0 or negative
x+5 >=0  or x >= -5
and 1-x > 0 or x < 1
So the answer is -5 <= x < 1
 
        
             
        
        
        
Answer:
7 mins
Step-by-step explanation:
Current speed of Joes Car = 65.5 mph
We have to find the time interval for which the car exceeded the speed limit of 55 mph.
While, we are given that the speed of the car was constantly increasing, hence the speed over all increased from the limit of 55 mph = 65.50-55.00 = 10.50 mph
 
We are also given that Joes car was increasing speed at a constant rate of 1.50 mph for every passing minute. Hence
1.50 mph is increased in 1 minute
1 mph will be increase in  minutes
 minutes
Hence
10.50 mph will be increased in  minutes
 minutes


Hence joes car was exceeding the limit of 55 mph for 7 minutes.
 
        
             
        
        
        
Step-by-step explanation:
1/5x+60=2/3x-2
subtract 1/5x from 2/3x
when you do that you should get 0.46x repeating 
then you add two to 60
you should get 62
62=0.46x
divide x
you get 134.7
 
        
             
        
        
        
Answer:
36
Step-by-step explanation:
40 * .10 = 4
40-4 = 36