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Ahat [919]
3 years ago
5

The sum of two integers with different signs is 8. Give two possible intergers that fit this description

Mathematics
2 answers:
pantera1 [17]3 years ago
6 0
The Answers Could Be 8 & -2 ( Don't Forget To Add Me & Say Thank Youu ❤️ )
choli [55]3 years ago
5 0
10+ (-2)= 8 9+(-1)=8
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Suppose an airline policy states that all baggage must be box shaped with a sum of​ length, width, and height not exceeding 114
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Answer:

Step-by-step explanation:

Represent the length of one side of the base be s and the height by h.  Then the volume of the box is V = s^2*h; this is to be maximized.

The constraints are as follows:  2s + h = 114 in.  Solving for h, we get 114 - 2s = h.

Substituting 114 - 2s for h in the volume formula, we obtain:

V = s^2*(114 - 2s), or V = 114s^2 - 2s^3, or V = 2*(s^2)(57 - s)

This is to be maximized.  To accomplish this, find the first derivative of this formula for V, set the result equal to 0 and solve for s:

dV

----- = 2[(s^2)(-1) + (57 - s)(2s)] = 0 = 2s^2(-1) + 114s - 2s^2

ds

Simplifying this, we get dV/ds = -4s^2 + 114s = 0.  Then either s = 28.5 or s = 0.

Then the area of the base is 28.5^2 in^2 and the height is 114 - 2(28.5) = 57 in

and the volume is V = s^2(h) = 46,298.25 in^3

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