Question

Help me solve this please I’m struggling

Answer 1

9514 1404 393

Answer:

• 9.5
• maximum, 34.5, 5
• 10.9

Explanation:

I find it convenient to use a graphing calculator to graph the function.

The "start" is x=0, where the distance from the sprinkler head is 0 feet. The value of h(0) is 9.5, the height of the sprinkler head.

• The irrigation system is positioned 9.5 feet above the ground.

The graph shows the vertex of the curve is (5, 34.5), meaning that a height of 34.5 feet is reached 5 feet horizontally from the sprinkler.

• The spray reaches a maximum height of 34.5 feet at a horizontal distance of 5 feet away from the sprinkler head.
• The spray reaches all the way to the ground at about 10.9 feet away.

The graph shows the x-intercept at about 10.9. That is where the height of the spray is 0 feet above the ground.