A parabola has a vertex at (3, -2). What is the axis of symmetry? x = _____
2 answers:
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1. (10m - 14) + 9 = 12 1. Given
2. 5m - 7 + 9 = 12 2. Distributive Property
3. 5m + 2 = 12 3. Simplify (added like terms)
4. 5m = 10 4. Subtraction Property of Equality
5. m = 2 5. Division Property of Equality
So it seems as if the first problem is asking this:
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If x=0.15, then 11/15*(0.15) is 0.11 or 11/100.
The second problem is asking:
To solve algebraically, you want to get rid of the denominators under the x's. To do so, you want to multiply by the Least Common Multiple (LCM) of the denominators. For 3 and 4, the LCM is 12. Multiply everything by 12 to get:
3x+6=4x+2
Now, solve for x
Subtract 4x from both sides:
-x+6=2
Subtract 6 from both sides:
-x=-4
Multiply by -1 on both sides:
x=4.
If x=0.15, then 11/15*(0.15) is 0.11 or 11/100.
The second problem is asking:
To solve algebraically, you want to get rid of the denominators under the x's. To do so, you want to multiply by the Least Common Multiple (LCM) of the denominators. For 3 and 4, the LCM is 12. Multiply everything by 12 to get:
3x+6=4x+2
Now, solve for x
Subtract 4x from both sides:
-x+6=2
Subtract 6 from both sides:
-x=-4
Multiply by -1 on both sides:
x=4.