Answer:
= 3.5 miles per hour
Showing Work
This is a fraction equal to
7 miles ÷ 2 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 2
7 miles ÷ 2
2 hours ÷ 2
=
3.5 miles
1 hour
=
3.5 miles
hour
= 3.5 miles per hour
Answer:
absolute vlaue inequality: |x-3| > 9; solved: x<-6 and x>12
Step-by-step explanation:
I’m going to start this off by saying I learned all this right now by just searching up how to solve an absolute inequality equation and watching one video, so this might not be an accurate explanation. (I’m pretty sure the answer’s right though)
So an absolute value inequality must be written like this:
| x - a | *inequality* b
a is going to be the number that the inequality is centered around, in this case, 3. b will be how far you can deviate from that number, which in this case is 9.
Now, you will have this:
|x - 3| *inequality* 9
Now, to find the inequality, you need to understand the wording. If it says “more than” as it does here, then you would have the greater-than symbol (>). If you have “less than” then you’d have the less-than symbol (<). If the problem says “at least b away” then it would be greater-than-or-equal to (≥), and likewise, if it says “at most b away” then it would be less-than-or-equal-to (≤).
So now we're at:
|x - 3| > 9
To solve the equation, you just need to subtract 9(b) from 3(a) and add 9(a) to 3(b) to get -6 and 12. Since x must be more than 9 units away, you would get:
x<-6 and x>12
Hope this is helpful!
First of all we know the
Absolute Value Function that is:
This is called the
Parent Function <em>of the Absolute Value Function.</em>
From the equation:
The term:
means that the the Parent Function is <em>shifted</em>
two units <em>to the left</em>.
On the other hand, the term:
means that the function
is <em>shifted</em>
three units <em>downward. </em>So the result is the graph shown below
Answer:
hviygkcgc fgx
Step-by-step explanation:
