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esmemaluma00
08.09.2021 •
Mathematics
Cynthia Besch wants to buy a rug for a room that is 20 ft wide and 27 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 450 square feet of carpeting. What dimensions should the rug have?
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Ответ:
part a) the x-intercepts are the points
and ![(2,0)](/tex.php?f=(2,0))
part b) the y-intercept is the point
part c) the minimum value is the point![(-2,-16)](/tex.php?f=(-2,-16))
step-by-step explanation:
we have
using a graphing tool
see the attached figure
part a) what are the x-intercepts?
we know that
the x-intercepts are the values of x when the values of y is equal to zero
observing the graph
the x-intercepts are the points
and ![(2,0)](/tex.php?f=(2,0))
part b) what is the y-intercept?
the y-intercept is the value of y when the value of x is equal to zero
observing the graph
the y-intercept is the point
part c) what is the maximum or minimum value?
the graph show a vertical parabola open upward
so
the vertex is a minimum
the vertex is the point
therefore
the minimum value is the point![(-2,-16)](/tex.php?f=(-2,-16))