Complete the square to rewrite the quadratic:
2 <em>x</em>² + 3 <em>x</em> + 5 = 2 (<em>x</em>² + 3/2 <em>x</em>) + 5
... = 2 (<em>x</em>² + 3/2 <em>x</em> + 9/16 - 9/16) + 5
... = 2 (<em>x</em>² + 3/2 <em>x</em> + (3/4)²) + 5 - 9/8
... = 2 (<em>x</em> + 3/4)² + 31/8
Any real number squared becomes non-negative, so the quadratic expression has a minimum value of 31/8, which is greater than 0, and so there are no (real) <em>x</em> for which <em>y</em> = 0.
Answer: he worked 31 hours and he earned $317.75
hope this helps :) and if it doesn’t I’m rlly sorry
The answer you have selected is correct
So,
We will have to divide the length the coach wants you to swim by the length of your pool to find how many laps you must swim. However, we need to first convert 3 km to meters by multiplying by 1000 (because 1 km = 1000 m).
3 * 1000 = 3000 m
Now we can divide.

You will need to swim 120 laps (not a realistic number).