Luca is building a garden in his backyard. He needs to erect a fence to keep his dog Luna from digging in it. He has enough materials for a fence with 120 feet around the perimeter. This function is represented by the formula A=−w^2+60w , where A is the area and w is the width. Which of the following correctly identifies the x-intercept(s)?(1 point)
Responses
(0,0) and (60,0)
(60,0) and (30,900)
(60,0)
(0,00
To find the x-intercepts, we set the equation equal to zero:
A = -w^2 + 60w = 0
Factor the equation:
w(-w + 60) = 0
Set each factor equal to zero:
w = 0 or -w + 60 = 0
Solve for w:
w = 0 or w = 60
The x-intercepts are (0,0) and (60,0).
Therefore, the correct answer is (0,0) and (60,0).