Answer:
Step-by-step explanation:
The negative sign in y = -2x + 2 tells us immediately that the y intercept of the graph of this function is (0, 2). If we start at (0, 2) and increase x by multiples of 1, y decreases by 2 in each case (the slope of this line is -2). Thus, we begin a table as follows:
x y = -2x + 2
0 2
1 -2(1) + 2 = 0
2 -2(2) + 2 = -4 + 2 = -2
and so on:
x y = -2x + 2
0 2
1 0
2 -2
3 -4
4 -6
Answer:
1 inch = 70 miles
Step-by-step explanation:
You can find this by dividing 245 by 3.5
Answer:
(-3, 4)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Algebra I</u>
- Terms/Coefficients
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = -x + 1
2x + 3y = 6
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 2x + 3(-x + 1) = 6
- Distribute 3: 2x - 3x + 3 = 6
- Combine like terms: -x + 3 = 6
- Isolate <em>x</em> terms: -x = 3
- Isolate <em>x</em>: x = -3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define equation: y = -x + 1
- Substitute in <em>x</em>: y = -(-3) + 1
- Simplify: y = 3 + 1
- Add: y = 4