Relations are subsets of products A×BA×B where AA is the domain and BB the codomain of the relation.
<span>A function <span>ff</span> is a relation with a special property: for each <span><span>a∈A</span><span>a∈A</span></span> there is a unique <span><span>b∈B</span><span>b∈B</span></span> s.t. <span><span>⟨a,b⟩∈f</span><span>⟨a,b⟩∈f</span></span>.This unique <span>bb</span> is denoted as <span><span>f(a)</span><span>f(a)</span></span> and the 'range' of function <span>ff</span> is the set <span><span>{f(a)∣a∈A}⊆B</span><span>{f(a)∣a∈A}⊆B</span></span>.You could also use the notation <span><span>{b∈B∣∃a∈A<span>[<span>⟨a,b⟩∈f</span>]</span>}</span><span>{b∈B∣∃a∈A<span>[<span>⟨a,b⟩∈f</span>]</span>}</span></span>Applying that on a relation <span>RR</span> it becomes <span><span>{b∈B∣∃a∈A<span>[<span>⟨a,b⟩∈R</span>]</span>}</span><span>{b∈B∣∃a∈A<span>[<span>⟨a,b⟩∈R</span>]</span>}</span></span>That set can be labeled as the range of relation <span>RR</span>.</span>
The polynomial simplifies to an expression that is a linear binominal with a degree of 1.
Answer:
r = .6
Step-by-step explanation:
2.2r +0.47 = 1.79
Subtract .47 from both sides
2.2r +0.47- .47 = 1.79 - .47
2.2r = 1.32
Divide by 2.2 on each side
2.2r/2.2 = 1.32/2.2
r =.6
If 5/8 of the teachers are males, there are 45 male teachers.
Subtract this value from 72 (i.e., find 3/8 of 72), and you will find that there are 27 female teachers.