Vertex is (7,-4) for answer.
Hope this helps. :)
1430000 is the answer to Converting 1.43 g/mL to the unit g/m3 Also, <span>1 ml = 1cm3 = 1E-6 m3 </span>
1.43/ml= 1.43E-6 g/m3 (1.43 x 10-6 g/m3) and 1.43 x 106 (grams / cubic meter) =0.15158 kg / m<span>3</span>
Answer:
- 5(x +1.5)^2
- 10(x +1)^2
- 1/4(x +2)^2
- 3(x +5/6)^2
Step-by-step explanation:
When your desired form is expanded, it becomes ...
a(x +b)^2 = a(x^2 +2bx +b^2) = ax^2 +2abx +ab^2
This tells you the overall factor (a) is the leading coefficient of the given trinomial. Factoring that out, you can find b as the root of the remaining constant.
a) 5x^2 +15x +11.25 = 5(x^2 +3x +2.25) = 5(x +1.5)^2
b) 10x^2 +20x +10 = 10(x^2 +2x +1) = 10(x +1)^2
c) 1/4x^2 +x +1 = 1/4(x^2 +4x +4) = 1/4(x +2)^2
d) 3x^2 +5x +25/12 = 3(x^2 +5/3x +25/36) = 3(x +5/6)^2
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<em>Additional comment</em>
If you know beforehand that the expressions can be factored this way, finding the two constants (a, b) is an almost trivial exercise. It gets trickier when you're trying to write a general expression in vertex form (this form with an added constant). For that, you must develop the value of b from the coefficient of the linear term inside parentheses.
X + 9 = 2x - 3
<u>-x -x </u>
9 = x - 3
<u> +3 +3</u>
12 = x
