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Sergeu [11.5K]
3 years ago
11

Find (f/g) (x) for the following functions. f(x)= 20x^3-7x^2+3x-7 g(x)=-13x^2-5

Mathematics
1 answer:
Ksivusya [100]3 years ago
5 0

Answer:

f(x) = -7   g(x) = -5

Step-by-step explanation:

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Arectangularplotoflandistobefencedinusingtwokinds of fencing. Two opposite sides will use heavy-duty fencing selling for $3 a fo
svlad2 [7]

Answer:

Dimensions of the rectangular plot will be 500 ft by 750 ft.

Step-by-step explanation:

Let the length of the rectangular plot = x ft.

and the width of the plot = y ft.

Cost to fence the length at the cost $3.00 per feet = 3x

Cost to fence the width of the cost $2.00 per feet = 2y

Total cost to fence all sides of rectangular plot = 2(3x + 2y)

2(3x + 2y) = 6,000

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3x + 2y = 3000

      2y = 3000 - 3x

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      y = 1500 - \frac{3x}{2}

Now area of the rectangle A = xy square feet

A = x[1500-\frac{3x}{2}]

For maximum area \frac{dA}{dx}=0

A' = \frac{d}{dx}(1500x-\frac{3}{2}x^{2}) = 0

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3x = 1500

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From equation (1),

y = 1500 - \frac{3}{2}\times 500

y = 1500 - 750

y = 750 ft

Therefore, for the maximum area of the rectangular plot will be 500 ft × 750 ft.

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