Mathematics: Simplify the expression

Simplify the expression - id8771967, jos1319

Ответ:

marilynlaraaa

07.02.2022

f(x) = 5x² + 2x g(x) = 6x - 6

Step-by-step explanation:

$\dfrac{5x^3-8x^2-4x}{6x^2-18x+12}\\\\6(x^2-3x+2)\ne0\ \iff\ x=\frac{3\pm\sqrt{9-8}}{2}\ne0\ \iff\ x\ne2\ \wedge\ x\ne1\\\\\\\dfrac{5x^3-8x^2-4x}{6x^2-18x+12}=\dfrac{x(5x^2-8x-4)}{6(x^2-3x+2)}=\dfrac{x(5x^2-10x+2x-4)}{6(x^2-2x-x+2)}=\\\\\\=\dfrac{x[5x(x-2)+2(x-2)]}{6[x(x-2)-(x-2)]} =\dfrac{x(x-2)(5x+2)}{6(x-2)(x-1)}=\dfrac{x(5x+2)}{6(x-1)}=\dfrac{5x^2+2x}{6x-6}\\\\\\f(x)=5x^2+2x\\\\g(x)=6x-6$

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Ответ:

artsymj11

23.01.2021

Mathematics

2/3 gallon

Step-by-step explanation:

you take 1/3, which is the amount you are looking for to fill the rest of the container, then you multiply that times 1/2. this equals 1/6 of a gallon. then you add that to 1/2 a gallon to find out the total of all the water it takes to fill the bin. 1/2+1/6=3/6+1/6=4/6 or 2/3 gallon simplified.

HOPE THIS IS CORRECT :)

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Simplify the expression

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