Domain is -
(All real numbers)
Range is -
( y belongs to R : y>5)
Answer:
(3, -1)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
3x - y = 10
2x - y = 7
<u>Step 2: Rewrite Systems</u>
3x - y = 10
- Subtract 3x on both sides: -y = 10 - 3x
- Divide -1 on both sides: y = 3x - 10
<u>Step 3: Redefine Systems</u>
y = 3x - 10
2x - y = 7
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 2x - (3x - 10) = 7
- Distribute -1: 2x - 3x + 10 = 7
- Combine like terms: -x + 10 = 7
- Isolate <em>x</em> term: -x = -3
- Isolate <em>x</em>: x = 3
<u>Step 5: Solve for </u><em><u>y</u></em>
- Define equation: 3x - y = 10
- Substitute in <em>x</em>: 3(3) - y = 10
- Multiply: 9 - y = 10
- Isolate <em>y</em> term: -y = 1
- Isolate <em>y</em>: y = -1
303.875303.875303.875303.875303.875303.875303.875
1 is correct bc I asked my teacher
Answer:
( -1/2, -2 1/2)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates and divide by 2
( -2+1)/2 = -1/2
To find the y coordinate of the midpoint, add the y coordinates and divide by 2
( -1+-4)/2 = -5/2 = -2 1/2
( -1/2, -2 1/2)