Respuesta :
Emily could start with the quadratic equation
... (2x+5)(2x+6)=31
... 4x² +22x +30 = 31
And then subtract the right side to put it into standard form.
... 4x² +22x -1 = 0 . . . . . . corresponds to the first selection
The quadratic equation can be used to determine the thickness of the frame, x is 4x2 + 22x − 1 = 0.
What is the quadratic equation?
The polynomial equation whose highest degree is two is called a quadratic equation or sometimes just quadratics.
Let x be the thickness of the frame.
The painting and frame must have an area of 31 square feet.
The painting is 5 feet wide by 6 feet long.
The area of the frame is given by;
[tex]\rm Area=length \times width\\\\31= (2x+5)(2x+6)\\\\31 = 2x(2x+6)+5(2x+6)\\\\31= 4x^2+12x+10x+30\\\\31=4x^2+32x+30\\\\4x^2+32x+30-31=0\\\\4x^2+32x-1=0[/tex]
Hence, the quadratic equation can be used to determine the thickness of the frame, x is 4x2 + 22x − 1 = 0.
Learn more about quadratic equation here;
https://brainly.com/question/17089190
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