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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Answer:
x=5.75
Step-by-step explanation:
As you can see, EH and FG are congruent, which means that the measurements must be the same.
You have 4x+5=28
That's already an equation! Now you solve it:
4x+5=28
4x=28-5
4x=23
x=5.75
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Answer:
80 kilometers per hour is equal to 49.72 miles per hour.
Step-by-step explanation:
Given that the speed limit in some European cities is 80 km / h, to determine how many miles per hour is this, knowing that 1 mile is equal to 1,609 km, the following calculation must be performed:
1,609 = 1
80 = X
((80/1) x 1.609) = X
80 x 1.609 = X
49.72 = X
Thus, 80 kilometers per hour is equal to 49.72 miles per hour.
-2
Step-by-step explanation:
Answer:
17 and 26 (cannot be divided evenly by 8 and 9)
72 (LCM for 8 and 9)
Step-by-step explanation: