I need to complete the square for x^2+6x+9=16
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Answer:
The number of minutes she can continue to descend if she does not want to reach a point more than 144 feet below the ocean surface is <u>at most 5 minutes.</u>
Step-by-step explanation:
Given:
Initial depth of the scuba dive = 19 ft
Rate of descent = 25 ft/min
Maximum depth to be reached = 144 ft
Now, after 't' minutes, the depth reached by the scuba dive is equal to the sum of the initial depth and the depth covered in 't' minutes moving at the given rate.
Framing in equation form, we get:
Total depth = Initial Depth + Rate of descent × Time
Total depth =
Now, as per question, the total depth should not be more than 144 feet. So,
Solving the above inequality for time 't', we get:
Therefore, the number of minutes she can continue to descend if she does not want to reach a point more than 144 feet below the ocean surface is at most 5 minutes.