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Naddika [18.5K]
3 years ago
7

Slope of the line described by the equation y=6x+5

Mathematics
2 answers:
Galina-37 [17]3 years ago
7 0

Answer:

slope --> m=6

Step-by-step explanation:

abruzzese [7]3 years ago
3 0
Slope m=6 your welcome and download Symbolab it will really help you
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The difference of a number s and 6
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An engineer is designing a storage compartment in a spacecraft .The compartment must be 2 meters longer than it is wide, and its
serg [7]

Answer:

Let x be the width of the compartment,

Then according to the question,

The length of the compartment = x + 2

And the depth of the compartment = x -1

Thus, the volume of the compartment,  V = (x+2)x(x-1) = x^3 + x^2 - 2x

But, the volume of the compartment must be 8 cubic meters.

⇒ x^3 + x^2 - 2x = 8

⇒ x^3 + x^2 - 2x - 8=0

⇒ (x-2)(x^2+3x+4)=0

If x-2=0\implies x = 2 and if  x^2+3x+4=0\implies x = \text{complex number}

But, width can not be the complex number.

Therefore, width of the compartment = 2 meter.

Length of the compartment = 2 + 2 = 4 meter.

And, Depth of the compartment = 2 - 1 = 1 meter.

Since, the function that shows the volume of the compartment is,

V(x) = x^3 + x^2 - 2x

When we lot the graph of that function we found,

V(x) is maximum for infinite.

But width can not infinite,

Therefore, the maximum value of V(x) will be 8.




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3 years ago
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