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Answer:
Function 1 has the larger maximum at (4, 1)
Explanation:
After observation, graph of function 1 has vertex at Maximum (4, 1)
In order to find vertex of function 2, complete square the equation.
f(x) = -x² + 2x - 3
f(x) = -(x² - 2x) - 3
f(x) = -(x - 1)² - 3 + (-1)²
f(x) = -(x - 1)² - 2
Vertex form: y = a(x - h)² + k where (h, k) is the vertex
So, here for function 2 vertex: Maximum (1, -2)
<h3>Conclusion:</h3>
Function 1 = Maximum (4, 1), Function 2 = Maximum (1, -2)
Function 1 has greater maximum value of (4, 1) as "1 is greater than -2"
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<u><em>Answer:</em></u>
Mrs. Hong originally had 900 ml of milk
<u><em>Explanation:</em></u>
The complete question is in the attached image
Assume that the amount of milk Mrs. Hong originally had was x ml
<u>We are given that:</u>
1- She used
of it to bake the waffles, <u>therefore</u>:
Amount used in baking waffles =
ml
2- She used 300 ml to bake a pie
3- Amount left is half the original amount, <u>therefore</u>:
Amount left =
ml
<u>We know that:</u>
Total amount = amount used in waffles + amount used in pie + amount left
<u>Substitute with the givens and solve for x:</u>
Total amount = amount used in waffles + amount used in pie + amount left

<u>This means that:</u>
She originally had 900 ml of milk
Hope this helps :)