X^2 + 2x - 80
So if we factorise
(X+10)(x-8)
So x intercepts are (-10, 8)
The y intercept and vertex is -80
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>
- 2 1/4 * 3 1/3
= -9/4 * 10/3
= -90/12
= = -7 1/2 answer
Answer: + =
Step-by-step explanation:
The standard form of equation of a circle is written in the form:
+ =
where a and b are the coordinates of the center and r is the radius.
All we need to do is to covert the given equation into this form, how do we do that?
We will achieve this by using the completing method of solving quadratic equation.
Firstly re - write the equation , that is
- 6x + -4y = 12
The next thing is to Complete the square for each of x and y
How do we do this ?
i. multiply the coefficient of x and y by 1/2
ii. square the results
iii. Add the result to both sides of the equation , that is
- 6x + - 4y + = 12 ++
The next thing is to write the Left hand side of the equation as a perfect square binomial and simplify the Right hand side. That is
+ = 25 , that is
+ =
Which is now in standard form of the equation of a circle.
Answer:
{x : x ε Z where x<3 & x>4}