1. A manufacturing company manufactures a cardboard box with a square base and a height of 15 inches. Suppose the equation x^2+60x-7200=0 can be used to find the length and width of the base of the box, each measuring x inches.
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OpenStudy (anonymous):
-write the quadratic equation in factored form
-use the zero product property to solve the equation
-explain how the solution relates to the situation
OpenStudy (anonymous):
@rebeccaxhawaii
OpenStudy (anonymous):
factored form (x-60)(x+120)=0
rebeccaxhawaii (rebeccaxhawaii):
okay so what have you got so far?
OpenStudy (anonymous):
-use the zero product property to solve the equation
(x-60)(x+120)=0 x-60=0 x+120=0
x-60+60 = 0+60x+120-120 = 0-120
x=60 x=-120
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OpenStudy (anonymous):
is this correct?
OpenStudy (anonymous):
@4everaddicted2anime
OpenStudy (4everaddicted2anime):
Yes that is correct
OpenStudy (anonymous):
-explain how the solution relates to the situation
OpenStudy (4everaddicted2anime):
Well the manufacturing company needs to know how much the box can hold(area) to price it right?
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OpenStudy (anonymous):
so, the solution = the area of the boxes which will help the manufactouring company price there products at a resenible prise.
OpenStudy (4everaddicted2anime):
yes
OpenStudy (anonymous):
so thatll work for an awser
OpenStudy (4everaddicted2anime):
yeah, just put volume instead of area(I miss-typed when I said area earlier)
OpenStudy (anonymous):
ok, thanks
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