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Ethan wants to build a porch with a length that is 6 less than three times its width and an area that is at least 200 square feet. Which inequality can be solved to find possible widths for Ethan's deck?

Respuesta :

calculista

Answer:

[tex]3y^{2} -6y\geq 200[/tex]

Step-by-step explanation:

Let

x------> the length of the deck

y------> the width of the deck

we know that

The area of Ethan's deck is

[tex]xy\geq 200[/tex] -----> inequality A

[tex]x=3y-6[/tex] ----> equation B

substitute equation B in the inequality A

[tex](3y-6)y\geq 200[/tex]

[tex]3y^{2} -6y\geq 200[/tex] ------> inequality that can be solved to find possible widths for Ethan's deck

Answer:

3w^2-6w≥200

Step-by-step explanation: