5/6 = 0.83333... (Repeating)
2/11 = 0.181818... (Repeating)
17/20 = 0.85 (Terminating)
For the number system diagram, from smallest box to larges, it would be natural numbers, whole numbers, and integers, rational numbers, then real numbers. And irrational numbers off to the side, but considering you only have 3 boxes then put the first 3 I mentioned.
It is definetly possible for a number to be both whole and an integer. As long as it's not a fraction, decimal, or negative value.
Answer:
f(x) = (x - 2)² + 2
Step-by-step explanation:
The vertex form of the quadratic function is:
f(x) = a(x - h)² + k
where:
(h, k) = vertex
The axis of symmetry is the imaginary vertical line where x = h
<em>a</em> = determines whether the graph opens up or down, and how wide or narrow the graph will be.
<em>h</em> = determines the horizontal translation of the parabola.
<em>k</em> = determines the vertical translation of the graph.
Given the vertex occurring at point (2, 2), along with one of the points on the graph, (4, 6):
Substitute these values into the vertex form of the quadratic function:
f(x) = a(x - h)² + k
6 = a(4 - 2)² + 2
6 = a(2)² + 2
6 = 4a + 2
Subtract 2 from both sides:
6 - 2 = 4a + 2 - 2
4 = 4a
Divide both sides by 4:
4/4 = 4a/4
1 = a
Therefore, the quadratic function in vertex form is: f(x) = (x - 2)² + 2
Answer:
7.7
Step-by-step explanation:
Answer:
The value of the expression is 19.
Answer: The value of angle S is 28°
Step-by-step explanation: Please see the attachments for the remaining part of the question as well as the explanation
