David made a table to relate two customary units. Label the columns of the table
2 answers:
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For a quadratic of the form 
, we have the quadratic formula
,
where a is the coefficient (number before the variable) of the squared term, b is the coefficient of the linear term, and c is the constant term.
So, given
, we can get that 
, and 
. We substitute these numbers into the quadratic formula above.
This is our final answer.
If you've never seen the quadratic formula, you can derive it by completing the square for the general form of a quadratic. Note that the
symbol (read: plus or minus) represents the two possible distinct solutions, except for zero under the radical, which gives only one solution.
where a is the coefficient (number before the variable) of the squared term, b is the coefficient of the linear term, and c is the constant term.
So, given
This is our final answer.
If you've never seen the quadratic formula, you can derive it by completing the square for the general form of a quadratic. Note that the
Hello.
Let's call the initial speed 'x'. When driving at that speed, Jeremy's father takes 20 minutes to arrive to the school. When driving 18 mph faster (x + 18), he gets there in 12 minutes. Therefore:
20 - x
12 - x + 18
As they're inversely proportional:
12 - x
20 - x + 18
That means that the initial speed is of 27mph. Since we have the time and the speed, we can find the distance:
Average Speed = Total Distance Travelled / Time Interval
20 minutes = 0.33h
Hope I helped and good luck.
Let's call the initial speed 'x'. When driving at that speed, Jeremy's father takes 20 minutes to arrive to the school. When driving 18 mph faster (x + 18), he gets there in 12 minutes. Therefore:
20 - x
12 - x + 18
As they're inversely proportional:
12 - x
20 - x + 18
That means that the initial speed is of 27mph. Since we have the time and the speed, we can find the distance:
Average Speed = Total Distance Travelled / Time Interval
20 minutes = 0.33h
Hope I helped and good luck.