If you're born on June 9th in 1993, on June 9th in 2015 you would have your 22nd birthday (2015-1993=22).
So you're 22 years old, and, as of today, 17 days tool (22 years 17 days).
Relations are subsets of products <span><span>A×B</span><span>A×B</span></span> where <span>AA</span> is the domain and <span>BB</span> the codomain of the relation.
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>.
We first need to convert 3x - 2y = 8 into y = mx + b form.
To do this, we first subtract 3x from
both sides and we have -2y = -3x + 8.
Now divide both sides by -2 and we have y = 3/2x - 4.
Now, we want the slope parallel to this given line.
Since the m or the coefficient of the x term
represents slope, we know this line has a slope of 3/2.
Now, it's important to understand that parallel lines have the same slope.
So the slope of the line parallel to this line will also be 3/2.
Answer:
24
Step-by-step explanation:
x=3
3x
3(8)
24
Answer:
f(- 2) = 23
Step-by-step explanation:
substitute x = - 2 into f(x) and evaluate
f(- 2) = 3(- 2)² - (- 2) + 7 = 12 + 4 + 7 = 23