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4 years ago

Find the horizontal asymptote off of x equals quantity 3 x squared plus 3x plus 6 end quantity over quantity x squared plus 1.

Mathematics

1 answer:

vaieri [72.5K]4 years ago

3 0

Answer:

y = 3

Step-by-step explanation:

y = (3x² + 3x + 6) / (x² + 1)

The power of the numerator and denominator are equal, so as x approaches infinity, y approaches the ratio of the leading coefficients.

y = 3/1

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Step-by-step explanation:

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3 years ago

Solve -3x=2x^2-4 using quadratic formula

frozen [14]

Answer:

$x=-2.35078, 0.850781$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Standard Form: ax² + bx + c = 0
Quadratic Formula: $x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$

Step-by-step explanation:

Step 1: Define equation

-3x = 2x² - 4

Step 2: Rewrite into Standard Form

0 = 2x² + 3x - 4

Step 3: Define variables

a = 2

b = 3

c = -4

Step 4: Find x

Substitute: $x=\frac{-3\pm\sqrt{3^2-4(2)(-4)} }{2(2)}$
Evaluate: $x=\frac{-3\pm\sqrt{9-4(2)(-4)} }{2(2)}$
Multiply: $x=\frac{-3\pm\sqrt{9+32} }{4}$
Add: $x=\frac{-3\pm\sqrt{41} }{4}$
Evaluate: $x=\frac{-3\pm6.40312}{4}$
Evaluate: $x=-2.35078, 0.850781$

And we have our final answer!

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3 years ago

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Lynna [10]

Check attached file for solution.

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3 years ago

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