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Yuliya22 [10]
3 years ago
9

A company ships coffee mugs using boxes in the shape of cubes. The function g(x) = gives the side length, in inches, for a cube

with a volume of x cubic inches. Suppose the company decides to double the volume of the box. Which graph represents the new function?

Mathematics
2 answers:
Gekata [30.6K]3 years ago
3 0

Answer:

The graph is attached below.

Step-by-step explanation:

The volume of the box containing the coffee mugs is,

V=x^{3}

Then the function representing the side length, in inches, for the box is:

g(x)=x

Now, it is provided that the company decides to double the volume of the box.

That is, the new volume will be:

V_{n}=2x^{3}

Then the side length, in inches, for the box will be:

g_{n}(x)=\sqrt[3]{2x^{3}} =\sqrt[3]{2}x

Then the graph representing the function, formed using the following points is:

x\ \ \ \ \ \ \ \ \ g_{n}(x)\\\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\\0\ \ \ \ \ \ \ \ \ \ \ 0\\1\ \ \ \ \ \ \ \ \ \ \ 2^{1/3}

Pavlova-9 [17]3 years ago
3 0

Answer:

c

Step-by-step explanation:

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tamaranim1 [39]

Answer:

  • The function is injective but nor surjective

Step-by-step explanation:

<u>We see that:</u>

  • f(x) = x³

<u>For any x₁ and x₂ ∈ N, </u>

  • f(x) = x₁³ = x₂³ ⇒ x₁ = x₂, both are natural numbers

It it confirmed one-to-one, hence it is injective

<u>Check the surjectivity:</u>

f(x) = y ∈ N

  • x³ = y
  • y = ∛x

<u>Let y = 2, then:</u>

  • 2 = x³
  • x = ∛2 ∉ N

Since x is not natural, the function is not surjective

6 0
2 years ago
Read 2 more answers
This is the example my teacher used. However, I still don't understand what makes the integers even or odd. I was hoping someone
kow [346]

Answer:

<h2>Here's what makes an integer odd:</h2>
  • It is NOT a multiple of 2.
  • When divided by 2, the quotient would be a decimal or have a remainder or fraction.

<h2>Here's what makes an integer even:</h2>
  • It is a multiple of 2.
  • When divided by 2, the quotient has a whole number.

<em>The odd numbers from one to 10 are: 1, 3, 5, 7, 9.</em>

<em>The even numbers from one to 10 are: 2, 4, 6, 8, 10. </em>

  • With big numbers, if it ends with any of the odd numbers from one to ten, listed above, it would be odd. This goes for the same with even.
<h2>With the x + 2, x + 4, etc:</h2>
  • An odd number and even number has a pattern....

[odd, even, odd, even, odd...] [1, 2, 3, 4, 5]

  • So, if x was an odd number, adding it by 2, 4, 6, etc. will result in another odd number.

Here's an example:

x= 17\\x + 2 = ?\\(17) + 2 = 19

<em>See how x is an odd number and the sum of the number and two makes another odd number? </em>

The same can go with an even number:

x=2\\x + 6 = ?\\(2) + 6= 8

<em>See how x is an even number and the sum of the number and six makes another even number? </em>

I hope my answer helps you understand even and odd numbers.

6 0
3 years ago
What is the graph of the solution to the following compound inequality?
podryga [215]

Answer:

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Answer is B, 8/10 minute! or 4

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Step-by-step explanation:

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Inessa [10]

Answer:

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Step-by-step explanation:

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Studentka2010 [4]

Answer:

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