The formula for axis of symmetry is -b/2a.
For f(x):
0/2(4)
0/8
Axis of symmetry= 0
For g(x)
-(-8)/2(1)
8/2
Axis of symmetry= 4
For h(x)
-(-12)/2(-3)
12/-6
Axis of symmetry= -2
Order from least to greatest: -2, 0, 4
Final answer: h(x), f(x), g(x)
Answer:
The largest integer value that makes the inequality true is 9.
General Formulas and Concepts:
<u>Algebra I</u>
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Terms/Coefficients
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>
1x - 8 < 2x + 1
<u>Step 2: Solve for </u><u><em>x</em></u>
- Simplify: x - 8 < 2x + 1
- [Subtraction Property of Equality] Subtract <em>x</em> on both sides: -8 < x + 1
- [Subtraction Property of Equality] Subtract 1 on both sides: -8 < x
- Rewrite: x > -8
∴ we see that any number <em>x greater than -8</em> would work as a solution to the inequality. That would mean the next largest integer, 9, would be our answer.
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Topic: Algebra I
1 hour = 60 min
0.5 hours = 60 * 0.5 = 30 min.
57>X
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