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maw [93]
3 years ago
11

Factor completely 3x^2+9x-33(x^2+3)3(x^2+3-1)3x(x^2+3x-1)prime​

Mathematics
1 answer:
Firdavs [7]3 years ago
4 0

Answer:

Answer from the answer data to choose from

<h2>3(x² + 3x - 1)</h2>

Factor completely

3\left(x+\dfrac{3-\sqrt{13}}{2}\right)\left(x+\dfrac{3+\sqrt{13}}{2}\right)

Step-by-step explanation:

3x^2+9x-3=(3)(x^2)+(3)(3x)-(3)(1)\\\\=(3)(x^2+3x-1)\\\\\text{For}\ x^2+3x-1\ \text{use the quadratic formula}\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x^2+3x-1\to a=1,\ b=3,\ c=-1\\\\x=\dfrac{-3\pm\sqrt{3^2-4(1)(-1)}}{2(1)}=\dfrac{-3\pm\sqrt{9+4}}{2}=\dfrac{-3\pm\sqrt{13}}{2}=-\dfrac{3\pm\sqrt{13}}{2}\\\\3x^2+9x-3=3\left(x+\dfrac{3-\sqrt{13}}{2}\right)\left(x+\dfrac{3+\sqrt{13}}{2}\right)

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Answer:

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3 years ago
1. The radioisotope Iodine-123 is used in thyroid therapy. The half-life of this isotope is 13.27 hours.
Mandarinka [93]
1. Answer: D. <span>A = 100 (1/2)^t/13.27

</span>Exponent equation formula would be an= a0( 1+r)^t
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2. Answer: x= 74°

<span>The ladder and the building will make a right triangle with the ladder as the hypotenuse. 
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