You transformed the function as follows:
All trasformations of the fashion 
translate the function horizontally, k units right if k is positive, k units left if k is negative.
In your case, k=6, so you translated the original function y=|x| 6 units to the right.
Answer:
-20
Step-by-step explanation:
-8v-9=7
Add 9 to each side
-8v-9+9=7+9
-8v = 16
Divide by -8
-8v /-8 = 16/-8
v = -2
Now find
7v -6
7(-2) -6
-14 -6
-20
In About 13 days the water in the tank will hit 6000 gallons
Answer: 2285.71
Step-by-step explanation:
Rearranging the simple interest formula, we have P = A / (1 + rt), where P is the Principal, r is the annaul rate and t is the time period.
r = R/100 = 5%/100 = 0.05 per year.
Solving the equation:
P = 3200 / ( 1 + (0.05 × 8)) = 2285.7142857143
Answer:
First image attached
The error was done in Step E, because student did not multiply 
by the negative sign in numerator. Step E must be 
.
Second image attached
The error was done in Step C, because the student omitted the 
of the algebraic identity 
. Step C must be 
Step-by-step explanation:
First image attached
The error was done in Step E, because student did not multiply by the negative sign in numerator. The real numerator in Step E should be:
Hence, Step E must be .
Second image attached
The error was done in Step C, because the student omitted the of the algebraic identity . Step C must be
And further steps are described below:
Step D
Which according to the Quadratic Formula, represents a polynomial with complex roots. That is: (
, 
, 
)
(Conjugated complex roots)
Step E
Step F
