Use the graph of the function f(x) = -(× + 1)2 + 2. Identify the vertex and the axis of symmetry.
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The 'i' should go in front of the square root, not inside it.
So the answer should be
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The way they wrote the expression is bit misleading as it might imply that the 'i' is under the square root. However the square root ends after the "5". It might be better to say
so there is clearer separation. But sticking the "i" in front is also a valid option.
side note: the plus minus part is already handled so there's no need to worry about that.
X = gallons of the 7% butterfat milk
y = gallons of the 2% butterfat milk
now, we'll be adding "x" gallons of the 7% one, but we know that, is really "x" gallons, but only 7% of it is butterfat, the rest is water and other subtances.
so, in "x" gallons, how many gallons is butterfat only anyway? namely, what is 7% of "x"? well, (7/100) * x, or 0.07x.
likewise, how many gallons of butterfat are in the 2% one? well, (2/100) * "y" or 0.02y.
we know that, whatever "x" and "y" add up to 275 gallons, thus x + y = 275.
we also know that, the butterfat amounts add up to the same butterfat in the 275 gallons, thus
how much will it be of the 2% milk? well, y = 275 - x.
y = gallons of the 2% butterfat milk
now, we'll be adding "x" gallons of the 7% one, but we know that, is really "x" gallons, but only 7% of it is butterfat, the rest is water and other subtances.
so, in "x" gallons, how many gallons is butterfat only anyway? namely, what is 7% of "x"? well, (7/100) * x, or 0.07x.
likewise, how many gallons of butterfat are in the 2% one? well, (2/100) * "y" or 0.02y.
we know that, whatever "x" and "y" add up to 275 gallons, thus x + y = 275.
we also know that, the butterfat amounts add up to the same butterfat in the 275 gallons, thus
how much will it be of the 2% milk? well, y = 275 - x.