The length of a rectangle is 5 in. more than 3 times its width. the area of the rectangle is 50in. 2. a quadratic function represents the dimensions of the rectangle. what is the domain of the function?

Question

Jaelynn

Mathematics

19 December, 15:04

The length of a rectangle is 5 in. more than 3 times its width. the area of the rectangle is 50in. 2. a quadratic function represents the dimensions of the rectangle. what is the domain of the function?

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Beckham Briggs · Answer 1

The domain is actually the x value of the function, so we need to find the value of x

suppose the width is x, the length is then 3x+5

the area is 50^2 inches, so x (3x+5) = 50 = > 3x^2+5x-50=0

Factor this quadratic equation: (x-5) (3x+10) = 0 = >x=5 or x=-10/3

width can not be negative, so the width is 5

the domain is x=5