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
Answer:
65 gallons per minute
Step-by-step explanation:
The total volume of the tank at any given time is given by the equation:
V(t) = 65t + 280
In order to find the rate of change of volume, we can simply differentiate this equation with respect to time. This will give us the rate of change of the volume or the rate at which water is being pumped into the tank.
Differentiating the above equation we get:
V'(t) = 65
So we can see that the rate at which water is being pumped into the tank is 65 gallons per minute
Answer:
1 7/8
Step-by-step explanation:
6 - 4 1/8
2 - 1/8
15/8 = 1 7/8
Answer:
i think it's <C and <R since they're 90 degree angles, though they are small
