3% interest on 5,000 = 150
275 (the total amount wanted) - 150 (from initial investment)= 125
x (5%) =125
x (0.05)= 125
x/0.05)= 125/0.05
x=2500
you need to invest 2500 at 5% to get the additional 125
125 plus 150= 275
Discriminant = b^2 - 4ac, where a, b and c come from the form of the quadratic equation as ax^2 + bx + c
Discriminant = (4)^2 - 4(1)(5)
= 16 - 20
= -4
-4 < 0, therefor there are no roots
(If the discriminant = 0, then there is one root
If the discriminant > 0, there are two roots, and if it is a perfect square (eg. 4, 9, 16, etc.) then there are two rational roots
If the discriminant < 0, there are no roots)
When you complete the synthetic division you get 9 as the remainder so your answer is A. 9
Work in image, sorry it’s super messy
Answer:
Im doing it right now one second
Step-by-step explanation:
Given:
The equation of a quadratic function is:

To find:
The equation of the axis of symmetry for the given function.
Solution:
If a quadratic function is
, then the equation of the axis of symmetry is:
...(i)
We have,

Here,
. So, the equation of axis of symmetry by using (i), is
Therefore, the correct option is C.