Answer:

Step-by-step explanation:
a trinomial that cannot be factored has no real roots.
here is one:

After graphing this trinomial has no intersections points with the x-axis wich means it has no roots
Answer:
{ 9/2 , square root of 100, 5.123}
Step-by-step explanation:
<h3>
Answer: 
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n starts at 1, and n is a positive whole number (1,2,3,...)
======================================================
Explanation:
The sequence is arithmetic with first term 40 and common difference 10. Meaning we add 10 to each term to get the next one.
--------
a1 = 40 = first term
d = 10 = common difference

is the general nth term of this arithmetic sequence
Plug in n = 1 and you should get 
Plug in n = 2 and you should get 
and so on
Answer:
1/3
Step-by-step explanation:
5 over 15
divide both by 5 to simplify 1 over 3
Answer:
case a)
----> open up
case b)
----> open down
case c)
----> open left
case d)
----> open right
Step-by-step explanation:
we know that
1) The general equation of a vertical parabola is equal to

where
a is a coefficient
(h,k) is the vertex
If a>0 ----> the parabola open upward and the vertex is a minimum
If a<0 ----> the parabola open downward and the vertex is a maximum
2) The general equation of a horizontal parabola is equal to

where
a is a coefficient
(h,k) is the vertex
If a>0 ----> the parabola open to the right
If a<0 ----> the parabola open to the left
Verify each case
case a) we have

so


so

therefore
The parabola open up
case b) we have

so



therefore
The parabola open down
case c) we have

so



therefore
The parabola open to the left
case d) we have

so



therefore
The parabola open to the right