Answer:
point slope form....
y - (-7) = -1/2(x-4)
y + 7 = -x/2 + 2
2y + 14 = -x + 4
2y = -x -10
y = -1/2 x - 5
Step-by-step explanation:
Describe the long-term behavior of f(x)= (3x^3+2x-8)/(x^2+x)
1 answer:
Check the picture below.
so that's the graph of that rational equation.
clearly it doesn't have an asymptote at y = 3, it does have an slant asymptote, notice the line on the right-side is slanted about some asymptotic border, well, if we do long division on the rational, the quotient is the equation of the slant asymptote.
it just so happen the long division gives us a quotient of 3x - 3, with a remainder of 5x - 8.
so it has a slant asymptote, but is at y = 3x - 3.
so I take is none of the above.
so that's the graph of that rational equation.
clearly it doesn't have an asymptote at y = 3, it does have an slant asymptote, notice the line on the right-side is slanted about some asymptotic border, well, if we do long division on the rational, the quotient is the equation of the slant asymptote.
it just so happen the long division gives us a quotient of 3x - 3, with a remainder of 5x - 8.
so it has a slant asymptote, but is at y = 3x - 3.
so I take is none of the above.
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<span>-6x^4y^5 - 15x^3y^2 + 9x^2y^3
</span>-6x^4y^5 = -2, 3, x, x, x, x, y, y, y, y, y
15x^3y^2 = -5, 3 x, x, x, y, y
9x^2y^3 = 3, 3 x, x, y, y, y
Each group has a 3 in common and each group has 2 x in common and each group has 2 y in common so the GCF = -3x^2y^2
Divide that out and we get
</span>-6x^4y^5 = -2, 3, x, x, x, x, y, y, y, y, y
15x^3y^2 = -5, 3 x, x, x, y, y
9x^2y^3 = 3, 3 x, x, y, y, y
Each group has a 3 in common and each group has 2 x in common and each group has 2 y in common so the GCF = -3x^2y^2
Divide that out and we get