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:
0.006 miles per hour
Step-by-step explanation:
We are given;
Speed in cm per minute ( 17 cm per min)
We are required to convert cm per minute to miles an hour
we need to know that;
1 miles = 160934 cm
1 hour = 60 minutes
We can convert 17 cm to miles and 1 minute to hours
17 cm = 17 ÷ 160934 cm
= 17/160934
1 minute = 1/60 hour
Therefore;
In miles per hour;
= (17/160934) ÷ (1/60)
= 0.00634 miles per hour
= 0.006 miles per hour
Therefore, 17 cm per minute is equivalent to 0.006 miles per hour
Answer:
4th option
Step-by-step explanation:
open circle means more than or less than
n is more than -3 but less than 1
Answer:
The graph is the 4th picture
Step-by-step explanation:
When graphing, you take the opposite if there is a number in the absolute value bars. If there is, then you will be going towards the x axis. If there is a number outside of the absolute value bars, assume that this will be the y axis
Answer:
the answe is b (1,7)
Step-by-step explanation:
Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.
x
=
7,1
