1) A quadratic will have no real roots when its discriminant is negative


Dividing by 4,

We have a positive coefficient on k^2 so this parabola is a CUP (concave up positive) so has a minimum at the vertex. If the vertex y value is less than zero, the inequality will be true in the range between the zeros.

That's true for

2) We look for the meet of the line and the parabola:


For two intersections we need a positive discriminant:



That's means two negative or two positive, so
or 
Answer:
y=3x^2-12x+17
Step-by-step explanation:
That's what i got
Answer: $308
Step-by-step explanation:
Based on the information given in the question, the account balance of Ms. Smith at the end of June will be:
= $8118 + $710 - $1211 + $809
= $8426
Therefore, the difference in her account balance than it was on April 1st will be:
= $8426 - $8118
= $308