To find the x-intercepts of the function \( A = -w^2 + 60w \), we need to set the area \( A \) to zero and solve for \( w \). That is:
\[ 0 = -w^2 + 60w \]
Rearranging this gives:
\[ w^2 - 60w = 0 \]
Factoring out a \( w \):
\[ w(w - 60) = 0 \]
Setting each factor to zero gives us the solutions:
- \( w = 0 \)
- \( w - 60 = 0 \) → \( w = 60 \)
Thus, the x-intercepts of the function are at \( (0, 0) \) and \( (60, 0) \).
The correct response identifying the x-intercepts is:
(0,0) and (60,0)