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Gwar [14]
3 years ago
12

Shannon is putting a fence around the garden ,except where there is a gate that is 3 feet wide .one foot of the fence cost $43.

the cost of the gate is $128.write an expression that represents the total cost of the fence and gate
Mathematics
2 answers:
siniylev [52]3 years ago
8 0

Answer: Our required expression will be

43f-1

Step-by-step explanation:

Let the number of feet be f

Shannon is putting a fence around the garden except where there is a gate that is 3 feet wide.

Cost of one foot of the fence = $43

Cost of the gate = $128

Remaining foot for fencing is given by

f-3.

So, Expression that represents the total cost of the fence and gate is given by

43(f-3)+128\\\\=43f-129+128\\\\=43f-1

Hence, our required expression will be

43f-1

AfilCa [17]3 years ago
7 0
43 x 3 = 129 divided by 2 = 64.5
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Find a formula for the described function. An open rectangular box with volume 3 m3 has a square base. Express the surface area
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Answer:

SA(x) = x^2 + \frac{12}{x}

Step-by-step explanation:

Given

V = 3m^3 --- volume

x \to base\ length

y \to height

Required

The surface area as a function of base length

The volume (V) is calculated as:

V = Base\ Area * Height

V = x*x*y

V = x^2*y

Make y the subject

y = \frac{V}{x^2}

Substitute 3 for V

y = \frac{3}{x^2}

The surface area of the open box is:

SA = x^2 + 2xy+2xy

SA = x^2 + 4xy

Substitute: y = \frac{3}{x^2}

SA = x^2 + 4x*\frac{3}{x^2}

SA = x^2 + 4*\frac{3}{x}

SA = x^2 + \frac{12}{x}

Hence, the function is:

SA(x) = x^2 + \frac{12}{x}

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Answer:

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Step-by-step explanation:

<u>Step 1: Locate x-intercept</u>

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