Luca is building a garden in his backyard he needs to erect offense to keep his dog Luna from digging in it he has enough materials for a fence with 120 ft around the perimeter this function is represented by the formula a equals negative w squared plus 60 w where a is the area NW is the width which is the following correctly identifies the X intercepts 00 60, 0 0 and 60, 0 60, 0

Answer 1

To find the x-intercepts of the function \( a = -w^2 + 60w \), we need to set \( a = 0 \) and solve for \( w \):

\[ 0 = -w^2 + 60w \]

We can factor this equation:

\[ 0 = w(-w + 60) \]

Setting each factor to zero gives us:

1. \( w = 0 \)
2. \( -w + 60 = 0 \) → \( w = 60 \)

Thus, the x-intercepts are \( (0, 0) \) and \( (60, 0) \).

The correct identification of the x-intercepts is thus:

(0, 0) and (60, 0).