There is no problem on here
Answer:
Step-by-step explanation:
Question:
Prove the following statement directly from the definitions.
The difference of any two rational numbers is a rational number.
Answer, see attachment for proof.
Answer:
d = 3.5t + 1
Step-by-step explanation:
The linear function would have to multiply the speed she runs at the track by the number of hours that she spent running. Then it should add this amount to the 1 mile that she walked to get to the track. If we use the variable d as the total distance that she ran and walked, and the variable t to represent time then we would create the following linear function/model.
d = 3.5t + 1
Answer:
if 
Step-by-step explanation:
Recall some following basic ideas about absolute value:
or I guess 

or just
but there is a reason why I wrote it the way I did.
You see that the absolute value returned the same value if the value was positive.
You see that the absolute value returned the opposite value if the value was negative.
You can include 0 in either.
Let's look at
alone for a second.
*
if
is positive or zero.
When is
positive or zero? [greater than or equal to 0]

Subtract 3 on both sides

*
if
is negative or zero.
When is
negative or zero? [less or equal to 0]

Subtract 3 on both sides

So looking at the bullet points (the *),
fits into the first inequality.
Therefore,
.
This is what my calculator says