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Fofino [41]
3 years ago
7

A candy factory wants to compare a new machine to their current machine. Both machines produce y boxes of candy for every hour x

. The current machine is represented by the equation f(x). The new machine is represented by the equation g(x). f(x) = 15x + 90 g(x) = 30x + 30 After what number of hours will the amount of candy produced be the same for both machines?
Mathematics
1 answer:
inn [45]3 years ago
6 0

Answer:

<em>In 4 hours.</em>

Step-by-step explanation:

Just equate f(x) = g(x). So:

15x + 90 = 30x + 30

60 = 15x

<em>x = 4 hours.</em>

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Help, very important hw!!!
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The stem-and-leaf plot for the distribution is given as follows:

  • 1| 9
  • 2| 2 2 3 5 7 7 8 8
  • 3| 0 1 1 2 3 3 4 5 5 5 7 8 9
  • 4| 0 0 1 3

b) From the plot, the correct options are given as follows:

  • A typical content is 32 calories per 100 ml.
  • The distribution is roughly symmetric.

<h3>What is a stem-and-leaf plot?</h3>

The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example:

4|5 = 45.

For this problem, the observations are given at the top in red, and using each <u>first digit as the key</u>, the stem and leaf plot is:

  • 1| 9
  • 2| 2 2 3 5 7 7 8 8
  • 3| 0 1 1 2 3 3 4 5 5 5 7 8 9
  • 4| 0 0 1 3

The mean of these observations is:

(19 + 2 x 22 + 23 + 25 + 2 x 27 + 2 x 28 + 30 + 2 x 31 + 32 + 2 x 33 + 34 + 3 x 35 + 37 + 38 + 39 + 2 x 40 + 41 + 43)/26 = 32(approximately)

The correct statements from the plot are as follows:

  • A typical content is 32 calories per 100 ml(due to the mean).
  • The distribution is roughly symmetric(13 values below the mean, 13 at or above).

More can be learned about stem-and-leaf plots at brainly.com/question/28015028

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2 years ago
Write a story that would use the following equation 12r = 156 to satisfy the story.
Eddi Din [679]
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Answer r=13

it will help you
4 0
4 years ago
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If (fx)=5x, what is f^-1(x)
zysi [14]

Answer:

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Step-by-step explanation:

To get the inverse function you need to leave the x alone and then switch variables ( f(x) = y)

f(x) = 5x

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Now that x is alone you switch the x for y and the y for x and you get:

x/5 = y

And this new y is the inverse function of f(x) ( f^-1(x))

f^-1(x) = x/5

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3 years ago
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KatRina [158]
I'm pretty sure it's median
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Vilka [71]
There are six vowels and 4 card suits
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