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Tanya [424]
2 years ago
14

B. The manufacturer decides to decrease the size of the box by reducing each of the dimensions by 1 inch. Find the decrease in s

urface area.
I already know what the surface area is please help me

Mathematics
1 answer:
-BARSIC- [3]2 years ago
5 0

Answer:

94 in, or about a 25% decrease.

Step-by-step explanation:

Starting surface area- 384

Decreased surface area- 290

384-290=94

To go from 384 to 290 would be a 24.48% decrease.

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X=24

Step-by-step explanation:

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2. 7x + 12 = 180 (Subtract 12 from both sides)

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Input
melamori03 [73]

If we graph the given points then they appear to be in the shape of cubic function so we can use standard formula of cubic function which is


y=ax^3+bx^2+cx+d


Plug the given points to get four equations


like first point (3,6) so plug x=3 and y=6 into above equation, we get:


6=a*3^3+b*3^2+c*3+d


or


6=27a+9b+3c+d


Same way by plugging other points form table, we get total four equations as follows:


6=27a+9b+3c+d, 11=125a+25b+5c+d, 11=64a+16b+4c+d, 21=343a+49b+7c+d


Now we just need to solve these equations for a, b, c and d.

Solving them to get values of a, b, c and d, we get:


a=\frac{25}{24}, b=-15, c=\frac{1715}{24}, d=-\frac{203}{2}


Now plug them into


y=ax^3+bx^2+cx+d


So the required equation will be:


y=\frac{25}{24}x^3-15x^2+\frac{1715}{24}x-\frac{203}{2}


Hence required equation in function notation can be written as


f(x)=\frac{25}{24}x^3-15x^2+\frac{1715}{24}x-\frac{203}{2}


Now to prove that above function is correct, we just graph the given points from table and the obtained function.


After graphing the given points from table and the obtained function, We see that points lie on the graph of y=\frac{25}{24}x^3-15x^2+\frac{1715}{24}x-\frac{203}{2}


Which proves that our equation is correct.


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3 years ago
Give a brief history of the metric system in your own words. (Please answer quick)
photoshop1234 [79]

Answer:

Gabriel Mouton was a church vicar who lived in Lyons, France, who is considered to be the creator of the metric stystem. he created it in 1970

Step-by-step explanation:

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3 years ago
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