Answer:
5
Step-by-step explanation:
Look at one of the coordinates to find k. For this example I'll look at the y-intercepts (0, 3) (for g(x)) and (0, -2) (for f(x))
g(0) = 3
g(0) = f(0) + k
3 = -2 + k
5 = k
 
        
             
        
        
        
Answer:
C or d
Step-by-step explanation:
 
        
             
        
        
        

The vertex is at (0,-5), therefore the range goes from (-infinity, - 5]
 
        
             
        
        
        
Answer:
$12
Step-by-step explanation:
amount of tax = $0.72
percent of tax= 6%
Let the original cost be x
so that
6% of x= 0.72
solve for x
6/100*x= 0.72
0.06x= 0.72
divide both sides by 0.06
x= 0.72/0.06
x=$12
Hence the cost is $12
 
        
             
        
        
        
Answer:
Test scores of 10.2 or lower are significantly low.
Test scores of 31 or higher are significantly high
Step-by-step explanation:
Z-score:
In a set with mean  and standard deviation
 and standard deviation  , the zscore of a measure X is given by:
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

Significantly low:
Z-scores of -2 or lower
So scores of X when Z = -2 or lower




Test scores of 10.2 or lower are significantly low.
Significantly high:
Z-scores of 2 or higher
So scores of X when Z = 2 or higher




Test scores of 31 or higher are significantly high