6>4-2x<4
so therefor (4x-2) must be less than 6 and less than 4
it must be
6>4-2x and 4<4-2x
find the intersection
6>4-2x
add 2x to both sides
6+2x>4
subtract 6
2x>-2
divide by 2
x>-1
4>4-2x
add 2x
4+2x>4
subtract 4
2x>0
x>0
so we have
x>0
and x>-1
the range of x>-1 includes most of x>0 so the answer is
x>-1
Answer:
Bag 1: 20
Bag 2: 40
Step-by-step explanation:
Let x be the amount taken out of bag 2
Then the amount left in each bag can be written as:
Bag 1: 50-3x
Bag 2: 50-x
Since we know that half of bag 2 is bag 1, that gives us:
50-3x = 1/2(50-x)
-> 50-3x = 25-x/2
Now lets isolate x and solve:
25 = 5x/2
-> 50 = 5x
-> x = 10
So plug x bag in for the original equations:
Bag 1: 50-3x = 50-3(10) = 20
Bag 2: 50-x = 50-10 = 40
I think you forgot to give the options along with the question. I am answering the question based on my research and knowledge. "Some customers who rate their service as high quality return for additional services" is the conclusion that can be drawn from this study. I hope that the answer has actually come to your desired help.
The answer is: b - lies in quadrant II when graphed.
Explanation:
Any number less than zero is a negative number.
Example: -1
Any number greater than zero is a positive number.
Example: 1
(a, f(a))
(-1,1)
When these example points are graphed, they are placed in the second quadrant.
Answer:
<h2>There are 5040 different possible sequences.</h2>
Step-by-step explanation:
Three identical notches and four identical bends are required in the sheet metal operation.
In total 7 things are required in the metal operation.
We can think it as we need to put the 3 notches and 4 bends in 7 places.
First, lets put the 3 notches in 3 places.
In order to do so, we need to choose 3 places from the 7 places.
We can choose 3 places in 
ways.
The 3 notches can be arrange in 3! = 6 ways.
The 4 bends can arrange in 4! = 24 ways.
Thus, in total 
different possible sequences.
