Answer:
D. y = 2x² + 1
E. y = x²
Step-by-step explanation:
Linear function:
A linear function has the following format:

In which a is the slope and b is the y-intercept. A constant function is linear, as it is the special case in which a = 0.
In this question:
In options D and E, the highest exponent of x is 2, which means that they are not linear functions, and so these options are the answer.
Answer:

Step-by-step explanation:
The equation of the line you will find should be in the form y =mx+c , where m is the gradient and c is the y intercept.
The gradient of a line that is perpendicular to a line [of a known gradient] is the negative reciprocal of the gradient of the first. i.e. if a is the known gradient and the perpendicular gradient is b, ab = -1. Therefore the -3b=-1 and b= 1/3
you can now write y = mx +c as y = 1/3x +c
As you have been given a coordinate, you can input these values into y= 1/3x + c
-12 = 1/3(6) +c
-12 - 2 = c
c = -14
hence the equation of the line is y= 1/3x -14
The answer choice which represents the solution to the inequality as given in the task content is; x>-2 or x≤ 1.
<h3>What is the solution of the give complex inequality?</h3>
On this note, it follows that the inequalities can be solved individually as follows;
-4 < 3x +2
-6 < 3x
x > -2
Also, 3x +2 ≤ 5
3x ≤ 3
x ≤ 1.
Ultimately, the correct answer choice is; Choice C; x>-2 or x≤ 1.
Read more on complex inequality;
brainly.com/question/24761100
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