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Answer:
-3 1/3
Step-by-step explanation:
The quadratic
... y = ax² +bx +c
has its extreme value at
... x = -b/(2a)
Since a = 3 is positive, we know the parabola opens upward and the extreme value is a minimum. (We also know that from the problem statement asking us to find the minimum value.) The value of x at the minimum is -(-4)/(2·3) = 2/3.
To find the minimum value, we need to evaluate the function for x=2/3.
The most straightforward way to do this is to substitue 2/3 for x.
... y = 3(2/3)² -4(2/3) -2 = 3(4/9) -8/3 -2
... y = (4 -8 -6)/3 = -10/3
... y = -3 1/3
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<em>Confirmation</em>
You can also use a graphing calculator to show you the minimum.
As per the problem
The chemicals in my swimming pool use a ratio of 5 tablets of chlorine for every 14 days.
we have been asked to find
Which ratio shows the number of chlorine tablets needed for 42 days?
Since for each 14 days the number of tablets required is 5
So if you multiply the number of days by some number then, we will have to multiply the number of tablets required by the same number.
So When number of days
Then the number of tablets required for 42 days is