1. Calculate the output voltage.
If Vx=0.5v R1=1kohm,Vin=-2 R2=2.5kohm and Rf=10kohm

Answer: The output voltage is 20V
Explanation: To calculate the output voltage, we can use the formula for an inverting amplifier circuit. The output voltage (Vo) can be calculated as follows:
1) Determine the gain (A) of the inverting amplifier:
The gain (A) of an inverting amplifier is given by the formula:
A = -Rf/R1
In this case, Rf = 10kohm and R1 = 1kohm.
So, A = -10kohm/1kohm = -10
2) Calculate the output voltage (Vo):
The output voltage (Vo) can be found using the formula:
Vo = A * Vin
In this case, Vin = -2V.
So, Vo = -10 * (-2V) = 20V
Please note that when calculating the output voltage, it is important to ensure that the values of the resistors (R1, R2, and Rf) are in the correct units (ohms) and that the polarity of the input voltage (Vin) is considered (negative in this case).