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lutik1710 [3]
2 years ago
6

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. The

volume of each small box is 6 cubic feet and the volume of each large box is 22 cubic feet. There were 2 more small boxes shipped than large boxes and the total volume of all boxes was 320 cubic feet. Write a system of equations that could be used to determine the number of small boxes shipped and the number of large boxes shipped. Define the variables that you use to write the system.
Mathematics
1 answer:
Andrei [34K]2 years ago
4 0

Answer:

Step-by-step explanation:

x = # of small boxes and y = # of large boxes

6x + 22y = 320

x = y + 2

this would be ur system of equations

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Which transformations to the graph of j(x) would result in the graph of j(4x) – 27?
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Answer:

Option D.

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It is given that, graph of j(x) transformed in the graph of j(4x) – 27.

We need to find the transformations.

Consider the new function is

f(x)=j(4x)-27          ... (1)

The translation is defined as

f(x)=j(kx+a)+b                ... (2)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph stretched horizontally by factor of 1/k and if k>1, then the graph compressed horizontally by factor of 1/k.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

k=4>1, the graph j(x) compressed horizontally by factor of 1/4.

a=0, so there is no horizontal shift.

b=-27<0, so the graph of j(x) shifts 27 units down.

So, the required transformations are horizontal compression by a factor of 1/4, and a translation 27 units down.

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2 years ago
The height of a triangle is twice the length of its base. The
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Answer:

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Step-by-step explanation:

let the base be b then height h = 2b

The area (A) of a triangle is calculated as

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Here A = 50 , then

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b² = 50 ( take square root of both sides )

b = \sqrt{50} ≈ 7.1 ( to the nearest tenth )

Then base = 7.1 m and height = 2 × 7.1 = 14.2 m

6 0
2 years ago
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