Question:
Charlotte has been working for her company for x years. Travis has been working for the same company exactly 3 years longer than Charlotte. What is the range of the relationship?
A- y>0
B- y>3
C. y<3
D. 0
Answer:
y > 3
Step-by-step explanation:
Number of years Charlotte has worked = x
Number of years Travis has worked = y. ie, y = 3+x
Let's assume the function reaches its lowest point at 3. There could also be a higher value for this function. 
We now have:
f(x) = y > 3
Since Travis has been working for the same company exactly 3 years longer than Charlotte the range of the relationship is y>3
 
        
             
        
        
        
The answer I got was A.)$56. 
Hope this helps!<3
Comment if you need help on how I got that answer!
 
        
             
        
        
        
3. 5mn ( 2m + 6n + 1 )
4. 4a^3b^2c ( 18a^2b - 8c )
5. (X-15)(X+15)
6. -4(y-4.5)(y+4.5)
8. 2X(X-10)(X+10)
i am not sure if no. 8 is right
        
                    
             
        
        
        
Answer:
Step-by-step explanation:
From the given table,
To prepare a mixture of a paint, two paints of different shades have been added in the same ratio,
Since, 2 cups of blue paint are mixed with 10 cups of yellow paint
Therefore, ratio in which these shades have been added = 
                                                                                                 = 
                                                                                                 = 
                                                                                                 = 5 : 1
For 1 cup of blue paint number of cups of yellow paint required,

x = 5 cups
For 3 cup of blue paint number of cups of yellow paint required, 

x = 15 cups
Cups of blue paint                Cups of yellow paint
             2                                             10
             1                                               5
             3                                              15     
 
        
             
        
        
        
Answer:
A) Population standard deviation is known. 
B) Option 3
H0: μ =520, 
H1: μ ≠ 520
z > 1.96 or z < -1.96
Step-by-step explanation:
A) The normal distribution should be used for the sample mean because the population standard deviation is known. Usually, when the standard deviation is unknown we don't use normal distribution except there is an underlying normal approximation.
B) Null Hypothesis:H0: μ =520, 
Alternative hypothesis H1: μ ≠ 520
At 5% level of significance, from standard tables, we will reject H0 if;
The test statistic; z > 1.96 or z < -1.96