The first step for absolute value equations is to isolate the expression contained within the absolute value bars:
3|2x+4|-1 = 11
3|2x+4| = 12
|2x+4| = 4
so |2x+4| is 4 units away from 0 on a number line, but we don't know in which direction -- negative or positive? you'll have two answers.
2x+4 = 4
AND
2x+4 = -4
solve both of those two step equations and you'll get
x = 0
AND
x = -4
so 0 and -4 are your solutions.
Answer:
Step-by-step explanation:
The slope of a line perpendicular to another line is the opposite reciprocal of the slope of the other line, meaning if the slope of the other line is
, then the slope of the line perpendicular is
.
Knowing this, we can start to construct the equation for the line:


To solve for
, we plug in the coordinates of the point that we know the line runs through,
:




Therefore, the slope of the line that is perpendicular ot the line provided in the equation is the following:

First, we're going to see the candies per minute that machine C packs.
150 / 2 = 75
Now that we know that machine C packs 75 candies per minute, we're going to multiply the candies machine C makes by 11 minutes.
75 x 11 = 825
We're now gonna do the same with machine D.
130 x 11 = 1430
Then we're going to find the difference between machine C and machine D, we do this because the question basically asks how much more candies can machine D pack than machine C.
1430 - 825 = 605 candies.
This is how we find our final answer.
Our answer would be D) 605.
Hope this helps!~
Answer:
the answer is 12 inches
Step-by-step explanation:
there is 1 foot per 12 inches
or
12 inches make a foot