Answer:
The relationship between the number of cups of water and sugar in the recipe is w = ¹/₃(s)
Step-by-step explanation:
Given;
number of cups of sugar = s
number of cups of water = w
The relationship between the number of cups of water and sugar in this recipe is given as;
½ cup of sugar is proportional to 1 ½ cups of water
Therefore, the relationship between the number of cups of water and sugar in the recipe is w = ¹/₃(s)
The point that is not included in the solution set for the inequality in the graph is (-1, 3).
<h3>How to explain the graph?</h3>In the information given, (h, k) is the vertex point. In the graph, the vertex point will be (1, 2). The equation will be:
y = a(x + 1)² + 2
By the point of the graph(0, 3) the value of a will be:
3 = a(0 - 1)² + 2
3 = a + 2
a = 3 - 2
a = 1
The equation this becomes:
y = 1(x - 1)² + 2.
y = x² - 2x + 1 + 2
y = x² - 2x + 3
Therefore, the point that is not included in the solution set for the inequality is (-1, 3).
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