Answer:
C
Step-by-step explanation:
✔️First, solve for r:
r/2 ≤ 3
Multiply both sides by 2
r/2 × 2 ≤ 3 × 2
r ≤ 6
This implies that possible value of r is equal to 6 or less than 6.
Graphing this on a number line, the line with a shaded circle, indicating that 6 is included, starts at 6 and points to the left.
This indicates that value of r ranges from 6 and below.
The graph is C.
Remember that an absolute value is the measure of something's distance from 0 on the number line. A key piece of that idea is that distances cannot be negative.
So, any absolute value set equal to or less than 0 or any negative number cannot have any solution.
Working out way up from the bottom...
That bottom one, is clearly an issue, since you have an absolute value set less than -2.
To decide on the others, you need to get the absolute value by itself.
On the third inequality, you need to divide by -2 to get the abs val by itself. When you do that, you'll end up with |3x-5| ≤ -3/2. That's a problem, so that won't have any solution.
On the second one, you'd start by subtracting 17 from both sides and you'd get |3x-6| > -2. That'll always be true, since an absolute value is always 0 or positive.
And you have the same thing with the first inequality too, that it's already set > a negative, so it's always true.
So, just the last two will not have solutions.
Answer:
25%
Step-by-step explanation:
50 / 200 = 25%
You would have to have 20 minutes of studying per hour of class time. This means that 60 times 2=120. 120-90=30. 30 minutes is half an hour. So you would do 20 divided by 2 since u are adding another half hour to studying. You would add 60 and 10 to get 70 as your answer I think. I hope this helps and is correct :)
P(x > 80) ≈ 32.47%
A suitable calculator can help you figure this.
