Answer:
The x -coordinate(s) of the point(s) of intersection of these two polynomials are 
The sum of these x -coordinates is 
Step-by-step explanation:
The intersections of the two polynomials, p(x) and q(x), are the roots of the equation p(x) = q(x).
Thus, 
and we solve for x
Using Zero Factor Theorem: = 0 if and only if = 0 or = 0
The solutions are:
The sum of these x -coordinates is
We can check our work with the graph of the two polynomials.
Answer:
{x ∈ R: x<6}
Step-by-step explanation:
Given
- x is a real number
- x is less than 6
Required
Write the set using set builder notation
The very first thing to do is to list out the range of x, using inequalities;
x is less than 6 implies that -infiniti < x < 6
The next step is to translate this to set builder. This is done as follows
x ∈ R - > This means that x is a real number
x < 6 -> where x is less than 6.
Bringing these two together, it gives:
{x ∈ R: x<6}
Hence, the set of real numbers x less than 6 is equivalent to {x ∈ R: x<6} using set builder notation
Yes they are entirely contained
Answer:
Sₙ=3(1/2^n)
Step-by-step explanation:
Notice that in the given series that each term is being multiplied by 1/2, which is our common ratio. 3/2 is the first term because 3*1/2=3/2, so the expression that defines Sₙ is Sₙ=3(1/2^n)
