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Kaylis [27]
3 years ago
9

The sum of (2x^2+3x-4)+(x^2-x-2)

Mathematics
1 answer:
cupoosta [38]3 years ago
3 0
(2x^2+3x-4)+(x^2-x-2)=2x^2+3x-4+x^2-x-2\\\\=(2x^2+x^2)+(3x-x)+(-4-2)=\boxed{3x^2+2x-6}
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If the farmer has 250 feet of fencing to create a rectangular pen, define a function f that expresses the area of the field (mea
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Answer:

Maximum area possible

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Dimensions:

a  = 62,5  ft

w  = 62,5 ft

Step-by-step explanation:

Perimeter of the rectangular fencing    P  =  250 feet

And sides of the rectangle  a  and  w (width of rectangle)

Then

A =  a*w

2a  + 2w  = 250       ⇒  a  =  (250 -2w)/ 2    ⇒  a = 125 - w

f(w)  =  (125  - w ) *w        f(w)  = 125w - w²  

Taking derivatives both sides of the equation

f´(w)   =  125  - 2w              f´(w)   = 0           125  - 2w = 0

w = 125/2

w = 62,5 ft            ⇒  a = 125 - 62,5

a = 62,5 ft

f(max)  = ( 62,5)²

f(max)  = 3906,25 ft²

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