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LuckyWell [14K]
3 years ago
9

Simplify. 5(x - y) - (x - y) a. x - y b. x y c. 4x - 4y d. 4x 4y

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
5 0
C is the answer hope this helps. 
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A designer is making a rectangular prism box with maximum volume, with the sum of its length, width, and height 8 in. The length
Sever21 [200]

Answer:

width = 1.8 in

length =   3.6 in

height =8-3w =8-3(1.8)= 2.6 in

Step-by-step explanation:

A designer is making a rectangular prism box with maximum volume, with the sum of its length, width, and height 8 in

Let l , w and h are the length , width and height

l +w+h=8\\l=2w

Plug it in the first equation

2w+w+h=8\\3w+h=8\\h=8-3w

volume the box is length times width times height

volume = (2w)(w)(8-3w)\\16w^2-6w^3

To get maximum volume we take derivatived

v'=32w-18w^2

set the derivative =0 and solve for w

0=32w-18w^2\\0=-2w(9w-16)\\w=0 , w= \frac{16}{9}

width = 1.8 in

length = 2w= 3.6 in

height =8-3w =8-3(1.8)= 2.6 in

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3 years ago
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aleksley [76]

Answer:

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Step-by-step explanation:

Labor unions arose in the nineteenth century as increasing numbers of Americans took jobs in factories, mines, and mills in the growing industrial economy.

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2 years ago
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Find one length of the square (7x-3) 3(x+1)
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Area of a square = Side × Side

Side = 7x-3

Area of the square = (7x-3) × (7x-3)

= 7x(7x-3) -3(7x-3)

= 49x^2 -21x -21x +9

=49x^2 -42x +9

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3 years ago
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  • Two-way relative frequency tables show what percent of data points fit in each category. ...
  • For example, here's how we would make column relative frequencies:
  • Step 1: Find the totals for each column.
  • Step 2: Divide each cell count by its column total and convert to a percentage.
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