|x| is tricky but maybe I can tell you so that it's clear 4ever.
You have to look at when what's inside the absolute value iszero. In this case x=0. That easy. Then, you have to split the cases:
For x>= 0, you have y = -x+1,
For x<=0, you have y = -(-x) + 1 = x+1, because abs(x)=-x, if x<=0.
Notice that x=0 is included in either case, because |x| is continuous.
Then plot each line choosing a couple of points, notice that for one case you should choose x=-1, -2, or x=0, but not positive values, and the other way for the case with x>=0.
Best
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Algebra II</u>
- Distance Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
Point (1, 5)
Point (-8, 4)
<u>Step 2: Find distance </u><em><u>d</u></em>
Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>
- Substitute in points [Distance Formula]:

- [√Radical] (Parenthesis) Subtract:

- [√Radical] Evaluate exponents:

- [√Radical] Add:

Answer:
C
5(10)+10=60
-2(-5)+7=17
Step-by-step explanation:
Answer:
Sam has $900 more money. In total he now has $905.