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] .
Michael took the return trip at a velocity 33.75 miles per hour.
<h3>How fast did Michael drive in his return trip?</h3>
Let suppose that Michael drove in <em>straight line</em> road and at <em>constant</em> velocity. Therefore, the speed of the vehicle (v), in miles per hour, can be defined as distance traveled by the vehicle (d), in miles, divided by travel time (t), in hours.
First trip
45 = s / 3 (1)
Second trip
v = s / 4 (2)
By (1) and (2):
45 · 3 = 4 · v
v = 33.75 mi / h
Michael took the return trip at a velocity 33.75 miles per hour.
To learn more on velocities: brainly.com/question/18084516
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Answer:
a:x=-3
c:x=1
Step-by-step explanation:
The zeros of a function are the values of x for which the value of the function f(x) becomes zero.
In this problem, we have the following function:

Here we want to find the zeros of the function, i.e. the values of x for which

In order to make f(x) equal to zero, either one of the factors
or
must be equal to zero.
Therefore, the two zeros can be found by requiring that:
1)

2)

So the correct options are
a:x=-3
c:x=1
Last one is your answer.
X cannot be repeated, but y can