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garri49 [273]
3 years ago
6

You are ordering DVD's from a web site. They charge $14 for each DVD. For any order you must pay an additional $6 for shipping a

nd handling. Your total cost is a function of how many DVD's
Mathematics
1 answer:
valkas [14]3 years ago
5 0

Answer:

y = 16x + 6

Step-by-step explanation:

They charge $14 for each DVD, which mean the slope of the function is 14

You must pay an additional $6 for shipping and handling, which means no matter how many DVD you buy, you have to pay a flat fee for $6  

So our function is:

y = 16x + 6 where:

y is total cost

x is the number of DVD you buy (x>0)

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Tell whether x and y show direct variation. Explain your reasoning. x=y+2
Mashutka [201]

Answer:

It does not show variation

Step-by-step explanation:

Given

x = y + 2

Required

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Compare y = x - 2 to y = kx

<em>Since they are not of the same form, then the given equation do not show direct variation</em>

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3 years ago
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daser333 [38]

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Step-by-step explanation:

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3 years ago
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Answer:

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A long paper strip with a width of 5 cm is folded, as shown in the picture. Find the smallest possible area of the gray triangle
Stolb23 [73]

By using some logic and the formula of the triangle's area, we will find that the smallest possible area is 12.5 cm²

How to start thinking about the problem.

First of all, for the configuration of this paper strip, we can see that the base of the triangle will <u>always be equal of the width of the paper</u>. Thus, the smallest area will be only dependent of the height of the triangle.

Now, we need to analyze the picture to figure out how we can get the smallest height possible for that triangle.

What is the smallest height possible.

Doing this, we shall see that the smallest height possible is actually when the height equals the width itself, as it's shown in the attached image.

How to calculate the smallest area possible.

Thus, to calculate the smallest area, we just have to use the formula of the area of the triangle, which is   \frac{b\times h}{2}<em>, where </em><u><em>b is the base</em></u><em> and </em><u><em>h is the height</em></u><em>.</em>

As we previously found, for this question, the

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Area = \frac{base \times height}{2} \\\\&#10;\\&#10;Area = \frac{5 \times 5}{2} \\&#10;\\&#10;Area = \frac{25}{2}\\&#10; \\&#10;Area = 12.5 cm^{2}

learn more about the area of the triangle here: brainly.com/question/15442893

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