Rewrite it into vertex form with completing the square:
f(x) = x^2 - x + 2 = (x^2 - x) + 2 = (x^2 - x + 1/4) + 2 + 1/4 = (x - 1/2)^2 + 9/4;
So the vertex is (1/2, 9/4).
Answer:
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Step-by-step explanation:
Answer:
a)
b) 1.5 hours after thickness will be 2 inches.
Step-by-step explanation:
-6x + 4 = -124
First bring 4 to the right side by subtracting 4 to both sides (what you do on one side you must do to the other). Since 4 is being added on the left side, subtraction (the opposite of addition) will cancel it out (make it zero) from the left side and bring it over to the right side.
-6x + 4 - 4 = -124 - 4
-6x + 0 = -128
-6x = -128
Now to completely isolate x you must divide -6 to both sides. Since -6 is being multiplied by x, division (the opposite of multiplication) will cancel -6 out (in this case it will make -6 one) from the left side and bring it over to the right side.
-6x/-6 = -128/-6
1x =
^^^The fraction can be simplified further
x =
x ≈ 21.33
Hope this helped!
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