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sasho [114]
3 years ago
13

The dimensions in inches of a shipping box can be expressed as width x, length x+1, and height x-4. The volume is 84ft sq. Find

the dimensions of the box in feet.
1,1,4
2,2,21
2,6,7
3,4,7
Mathematics
2 answers:
DENIUS [597]3 years ago
5 0
X * (x + 1) * (x -4) = 84
x^2 + x * (x -4) = 84
x^3 + x^2 -4x^2 -4x = 84
x^3 - 3x^2 -4x -84 = 0
Using the cubic equation calculator:
http://www.1728.org/cubic.htm
x = 6
width 6
length 7
height 2
 



iris [78.8K]3 years ago
4 0
The volume of a box is (width)(length)(height).  
V = W*L*H 
 Plug in all the information we have: 
 84 ft^3 (incorrectly written as ft sq in the question)
 84 ft^3 = (x)(x+1)(x-4) = (x)(x^2-3x-4) = x^3 - 3x^2 - 4x. 
 Next, think of the factors of 84. 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84. 
 The value is x = 6.
 (6)(6+1)(6-4) = (6)(7)(2) = 84
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Mamont248 [21]
The answer is <span>Sum of Cubes.

Since there is sign +, we expect it to be the sum. Among all choices, only the last one includes summation, and that is sum of cubes.

Let's check it out.
Sum of cubes can be expresses as:
a</span>³ + b³ = (a + b)(a² - ab + b²)

Let's see what are cube roots of 125 and 8: 
∛125 = ∛5·5·5 = ∛5³ = 5     ⇒     a = 5
∛8 = ∛2·2·2 = ∛2³ = 2     ⇒     b = 2

Now, let's implement that in the equation of sum of cubes:
5³ + 2³ = (5 + 2)(5² - 5·2 + 2²)
125 + 8 = 7 · (25 - 10 + 4)
133 = 7 · 19
133 = 133

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4 years ago
A pair of linear equations is shown below:
prisoha [69]

Answer:

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Step-by-step explanation:

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3 years ago
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Answer:

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