Answer:

Step-by-step explanation:
Let E be the set of all even positive integers in the universe Z of integers,
i.e
E = {2,4,6,8,10 ....∞}
be the characteristic function of E.
∴

For XE(2)
since x is an element of E (i.e the set of all even numbers)
For XE(-2)
since - 2 is less than 0 , and -2 is not an element of E
For { x ∈ Z: XE(x) = 1}
This can be read as:
x which is and element of Z such that X is also an element of x which is equal to 1.
∴

E = {2,4,6,8,10 ....∞}
Answer:
9/4 as a fraction or 2.25 as a decimal
Step-by-step explanation:
Unknown factor is known as the factor that is not understood and not know(you have no idea what the value is)
quotient is the answer of two different numbers called dividend and divisor being divided with each other
Answer:

Step-by-step explanation:
The dimensions of the rectangle are represented by functions:

The area is length × width of a rectangle.


Expand brackets and solve.


Answer: The value of a is 1. The value of b is -1. The value of c is 1. The value of the discriminant is -3. The quadratic function will not intersects the x-axis.
Explanation:
The standard form of a quadratic equation is,

The given function is,

It can be written as,

By comparing this equation with the standard form of quadratic equation. we get,



The formula for discriminant is,




The value of the discriminant is -3.
If D<0, it means the function have no real roots.
If D=0, it means function have one real roots.
If D>0, it means function have two real roots.
Since D<0 it means the function have no real roots. So the function will not intersect the x-axis at any point.