Correct option is A) [-13/4, 9/4] .
<u>Step-by-step explanation:</u>
Here we have following equation as |2 + 4x| = 11 or ,
. We need to solve for the value of x .Let's find out:
We know that Modulus Function is both positive & negative for particular values of x , i.e.
|2 + 4x| is positive :
⇒ 
⇒ 
⇒ 
⇒ 
|2 + 4x| is negative :
⇒ 
⇒ 
⇒ 
⇒ 
Therefore , Correct option is A) [-13/4, 9/4] .
Answer:
(c)
will be perpendicular to the line y = 3x+2
Step-by-step explanation:
We have given the the equation of line as y = 3x+2
We know the equation of line as y = mx+c , here m is slope and c is intercept
On comparing with standard equation of line m = 3
We know that slope of perpendicular line is 
So the slope of the line which is perpendicular to y = 3x+2 will be 
Now (a) Line is given as
its slope is
so it will be not perpendicular
(b) Line is given as
its slope is
so it will be not perpendicular
(c) Line is given as
its slope is
so it will be perpendicular to the line y = 3x+2
(d) Line is given as
its slope is 3 so it will not perpendicular to the line y = 3x+2
2x^2+3
x=3
2(3)^2+3
2(9)+3
18+3
21 is the answer.
-3, 1 is the answer because the spot is on the -3 and in the first low with the Y-axis and stuff .