Question

I have one more question before im done so please help and have a good day.

A scuba diver is trying to reach the bottom of a lake to explore a sunken boat. The bottom of the lake is modeled by the x– axis and the path the scuba diver takes is modeled by the equation y = 6x2 + 48x + 120 where x and y are in feet.

Part A:
What is the solution to the equation 0 = 6x2 + 48x + 120?

Part B:
Will the scuba diver reach the bottom of the lake? Why or why not?

Answer 1

• See below

Explanation:

Part A

Solve the equation:

• 6x² + 48x + 120 = 0
• x² + 8x + 20 = 0
• x² + 8x + 16 + 4 = 0
• (x + 4)² + 4 = 0
• (x + 4)² = - 4

The left side is positive and right side is negative so no solution

Part B

There is no intercession with the x-axis, the graph of the function is entirely above the x-axis.

It means the diver won't reach the bottom of the lake