Answer:
Last one at the bottom
Step-by-step explanation:
Recall that for a function to be valid, each input (x-value) must give exactly one unique output (y-value). If we find that any x-value gives more than one y-value, then it is not a function.
Option 1: x = 3 gives y = 2 and y = -2 (not a function)
Option 2: x = 5 gives y = 2 and y = 8 (not a function)
Option 3: x = 3 gives y = 4 and y = 5 (not a function)
Option 4: each x-value gives only one possible y-value (this is a function)
Answer:
Infinite amount of solutions
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Alg I</u>
- Solving systems of equations by substitution/elimination
Step-by-step explanation:
<u>Step 1: Define systems</u>
x = y - 3
2x - 2y = -6
<u>Step 2: Solve for </u><em><u>y</u></em>
- Substitute: 2(y - 3) - 2y = -6
- Distribute 2: 2y - 6 - 2y = -6
- Combine like terms: -6 = -6
Here we see that -6 does equal -6. Therefore, any value <em>y</em> would work as a solution. Hence, this systems of equations has an infinite amount of solutions.
Answer:
Yes, any set is a subset of itself.
Step-by-step explanation:
N/A
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