Let's solve these equations one by one:
Question 1: \[ 15 + X = -12 \] To find \(X\), isolate it: \[ X = -12 - 15 \] \[ X = -27 \] Response: -27
Question 2: \[ x^3 = 9 \] To find \(x\), take the cube root of both sides: \[ x = \sqrt[3]{9} \] This value is not a perfect cube but it simplifies to approximately: \[ x \approx 2.08 \] However, as per the given options, only the cube root computations ensure options: The closest available integer response is \(3\): Response: 3
Question 3: \[ 2X - 5 = 15 \] To solve for \(X\), add 5 to both sides: \[ 2X = 20 \] Now, divide by 2: \[ X = 10 \] Response: 10
Question 4: \[ -6x + 2 = 20 \] Subtract 2 from both sides: \[ -6x = 18 \] Divide by -6: \[ x = -3 \] Response: -3
Question 5: \[ x^5 + 10 = 13 \] Subtract 10 from both sides: \[ x^5 = 3 \] Now, take the fifth root of both sides: \[ x = \sqrt[5]{3} \] Again, this is not an integer, but the response must be from available options. The closest approximation shows none listed integrate \(x \approx 1.245\) which is not listed. But looking for discrepancies: We observe nothing matches which calculates to correct rigor here. Response: Invalid
If you would like to revisit any specific equations from these transitions, feel free to ask.