Answer:
Option A. 
Step-by-step explanation:
we have

Applying the distributive property

Answer:
Option D.
Step-by-step explanation:
Consider the below figure attached with this question.
If a line passes through two points
and
, then the equation of line is

From the below figure it is clear that the a solid line passes through the points (-2,0) and (0,4). So, the equation of related line is




All area above the solid line is shaded. It means the sign of inequality is ≥.

From the below figure it is clear that the a dashed line passes through the points (2,0) and (0,2). So, the equation of related line is




All area below the dashed line is shaded. It means the sign of inequality is <.

System of inequality is


Therefore, the correct option is D.
Answer
The line of symmetry x = -4
Step by step explanation
Here we have to use the formula.
The symmetry of a parabola x = -b/2a
Now compare the given equation y = 3x^2 + 24x -1 with the general form y = ax^2 + bx + c and identify the value of "a" and "b"
Here a = 3 and b = 24. Now plug in these values in to the formula to find the line of symmetry.
x = -24/ 2(3)
x = -24/6
x = -4
Therefore, the line of symmetry x = -4.
Thank you.