To compare the x-intercepts of two linear functions, we need to identify the x-intercept of each function. The x-intercept of a linear function is found by setting \(y = 0\) and solving for \(x\).
Let's denote the two functions as:
- Function A: \(y = m_A x + b_A\)
- Function B: \(y = m_B x + b_B\)
To find the x-intercepts, we set \(y = 0\):
For Function A: \[ 0 = m_A x + b_A \implies x = -\frac{b_A}{m_A} \]
For Function B: \[ 0 = m_B x + b_B \implies x = -\frac{b_B}{m_B} \]
Now we can compare the x-intercepts by comparing \(-\frac{b_A}{m_A}\) and \(-\frac{b_B}{m_B}\).
Without specific values for \(m_A\), \(b_A\), \(m_B\), and \(b_B\), we can't definitively determine the relationship between the x-intercepts. However, the comparison involves the slopes and y-intercepts of the linear functions.
To conclude which statement is correct, you would need to know the actual values for both functions. If you provide more details or values for the slopes and y-intercepts, I could help you determine whether statement A, B, or C is correct.
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