Answer: 149 cartridges will be sold at 20 dollars per cartridge.
Step-by-step explanation:
Given: The projected sales volume of a video game cartridge is given by the function , where <em>s</em> is the number of cartridges sold, in thousands; <em>p</em> is the price per cartridge, in dollars; and <em>a</em> is a constant.
Put s(p)=100000, p= 10, we get
i.e.
Put p=20, we get
Hence, 149 cartridges will be sold at 20 dollars per cartridge.
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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