The formal definition of a function states that:
"A function relates each element of a set with exactly
one element of
another set <span>(possibly
the same set)."
The part that says "..with exactly one element.." means that for every
input (x-coordinate), it cannot return 2 or more values (y-coordinate). In other words, among the relations stated, we just have to look for the relation with repeating x-coordinates to find the relation that is not a function.
</span><span>{(0, 0), (1, 0), (2, 0)} has no repeating x-coordinates so it is a function.
</span>{(1, 2), (3, -5), (-1, 7)} has no repeating x-coordinates so it is a function.
{(7, -1), (3, -2), (5, -2)} <span>has no repeating x-coordinates so it is a function.
</span><span>{(-1, 3), (4, 2), (-1, 5)} has 2 pairs of "-1" x-coordinates so it is NOT a function.</span>
<h3>
Answer:</h3>
7
<h3>
Step-by-step explanation:</h3>
The triangle shown is a 45-45-90 triangle. This name comes from the fact the 3 angle measurements are 45, 45, and 90 degrees.
If needed, you could find the missing angle using the equation: 180 - (45 + 90) = x.
Special Right Triangles
Special right triangles allow us to use formulas and shortcuts to find missing sides easily. Another type of special right triangle is the 30-60-90 triangle. While both of these are special right triangles, they have different formulas.
Formulas
All 45-45-90 triangles have 2 types of sides: the legs (a and b) and the hypotenuse (c).
- c = b
- b = a
- a = b
In these triangles, both of the legs are congruent.
Solving for c
Since we are given b, we can just plug the b-value into the formula that solves for c.
- c = 7
The answer cannot be simplified further, so this is the final answer.
Answer:
3,3.5, and 4
Step-by-step explanation:
Since you said between 2 and 5, I’m assuming you can’t use numbers 2 and 5. The first two numbers you think about that are between 2 and 5 is 3 and 4 and since you need a 3rd one, 3.5 is also exactly in the middle.
Hope that helps!
Answer:
y = -6x — 13
Step-by-step explanation:
use y = mx + b equation and plug in what you know.
5 = -6(-3) + b —> solve for b
b = -13 —> plug in what you know into y=mx+b
ANSWER: y = -6x — 13
You scored 18 points in your fourth game because if you played 4 games and got 12 points each game that equals 48 points all together and if the average is 10 points for the first 3 games that equals 30 points for the three games so 48-30=18