Question

Nora is creating a dog run in her backyard for her dog. She has enough materials to create a run with a perimeter of 120 feet. This is represented by the function A = -w^2 + 60w where A is the area of the run and w is the Wii which of the following identifies the x-intercept
(0,0)
(60, 0)
(0, 0) and (60, 0)
(30, 900) and (60, 0)

Answer 1

To find the x-intercepts of the function \( A = -w^2 + 60w \), we need to determine the values of \( w \) for which \( A = 0 \).

Setting the equation to zero:
\[
-w^2 + 60w = 0
\]
Factoring out \( w \):
\[
w(-w + 60) = 0
\]

This gives us two solutions:
1. \( w = 0 \)
2. \( -w + 60 = 0 \) which simplifies to \( w = 60 \)

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

So the answer to the question is:
**(0, 0) and (60, 0)**.