3 years ago

9/2X-6≥9/2(3-2X) AYUDA

Mathematics

1 answer:

marishachu [46]3 years ago

7 0

Answer:

$X \geq \frac{13}{9}$

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

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Answer:

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Step-by-step explanation:

The equations are:

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The two graphs intersect when:

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To find the area under the curve for the first equation:

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To find the total area:

$A = A_{2} -A_{1} = \int\limits^3__-3}{2x + 12} \, dx -\int\limits^3__-3}{x^{2} + 2x + 3} \, dx$

Simplifying the equation:

$A = \int\limits^3__-3}{2x + 12}-({x^{2} + 2x + 3}) \, dx = \int\limits^3__-3}{9}-{x^{2}} \, dx$

Note: The reason the area is equal to the area two minus area one is that the line, area 2, is above the region of interest (see image).

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