Answer:
<em>Rajan must use </em><em>0.75</em><em> liters of 5% hydrochloric acid solution and </em><em>0.25</em><em> liters of 45% hydrochloric acid solution.</em>
Step-by-step explanation:
Let us assume that, x liters of the 5% hydrochloric acid and y liters of the 45% hydrochloric acid solutions are combined.
As Rajan need total of 1 liter of solution, so
 
i.e 
 --------------------1
As Rajan needs 5% hydrochloric acid and 45% hydrochloric acid to make a 1 liter batch of 15% hydrochloric acid, hence acid content of the mixture of two acids will be same as of the final one, so

i.e 
 -------------2
Putting value of x from equation 1 in equation 2,





Putting the value of y in equation 1,

Therefore, Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters of 45% hydrochloric acid solution.
 
        
             
        
        
        
Answer:
a. $121.07
b. $60.9
C. $20.03
Step-by-step explanation:
From the equation given
Y=181.7-20.21x
Where y is in dollars and X is in years
a. To find the resale price after 3years we have, we substitute x=3 into the given equation. 
We have 
y=181.7-20.21(3)
y=181.7-60.63
y=121.07
The resale price after 3years is $121.07
b. To find the resale price after 6years we have, we substitute x=6 into the given equation. 
We have 
y=181.7-20.21(6)
y=181.7-120.72
y=60.98
The resale price after 3years is $60.98
C. To find the average decrease per year, we have 
[(x=3)-(x=6)]/3
=(121.07-60.98)/3
$20.03
Hence the average annual decrease is $20.03
 
        
                    
             
        
        
        
25 students 
hope this helps
        
             
        
        
        
Answer:
The answer is 6
Step-by-step explanation:
The graph moved 6 spots to the left therefore your answer would be positive.
 
        
             
        
        
        
Answer:
f(x) = 8(x-3)
Step-by-step explanation:
F^ -1 ( x) = x/8 +3
Let y = x/8+3
To find the inverse
Exchange x and y
x = y/8+3
Solve for y
x-3 = y/8+3-3
x-3 = y/8
Multiply each side by 8
8(x-3) = y/8 * 8
8(x-3) = y
The inverse of the inverse is the function so
f(x) = 8(x-3)