Question

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).