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const2013 [10]
3 years ago
9

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 repres

ents the dimensions of the rectangle. what is the domain of the function?
Mathematics
1 answer:
Goshia [24]3 years ago
6 0
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
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3 years ago
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Work Shown:

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As the steps above show, the goal is to factor the expression under the root in terms of pulling out cubed terms. That way when we apply the cube root to them, the exponents cancel. We cannot factor the y term completely, so we have a bit of leftovers.

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