Answer:
Step-by-step explanation:
Our inequality is |125-u| ≤ 30. Let's separate this into two. Assuming that (125-u) is positive, we have 125-u ≤ 30, and if we assume that it's negative, we'd have -(125-u)≤30, or u-125≤30.
Therefore, we now have two inequalities to solve for:
125-u ≤ 30
u-125≤30
For the first one, we can subtract 125 and add u to both sides, resulting in
0 ≤ u-95, or 95≤u. Therefore, that is our first inequality.
The second one can be figured out by adding 125 to both sides, so u ≤ 155.
Remember that we took these two inequalities from an absolute value -- as a result, they BOTH must be true in order for the original inequality to be true. Therefore,
u ≥ 95
and
u ≤ 155
combine to be
95 ≤ u ≤ 155, or the 4th option
Answer:
can you elaborate?
Step-by-step explanation:
Answer:
The Average Temperature for the week is -1°C
Step-by-step explanation:
First to find the average, you have to combine all the numbers
-3-4+0-2+0+3-1 = -7
Then you have to divide the total, with the number of numbers used to combine to make the total
-7 ÷ 7 = -1
The average temperature is -1°C
Answer:
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Step-by-step explanation:
Answer:
The second equation can be written by equation (1) is given below
8x-5y=3
The two equations represents the same line and therefore they have an infinite number of solutions that are true for both equations.
Step-by-step explanation:
Given equation is 
To find the second equation to create the given system of equations to have infinitely many solutions :
The second equation can be written by equation (1) is given below
8x-5y=3
The two equations represents the same line and therefore they have an infinite number of solutions that are true for both equations.