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Nostrana [21]
2 years ago
6

Model 3xfx Write the inverse of the rational function used to represent the situation in model 3, .

Mathematics
1 answer:
kompoz [17]2 years ago
5 0
Make f(x) = y
y = (15x + 50)/(x + 5)
Swap the x and y and make y the subject again
x = (15y + 50)/(y + 5)
x(y + 5) = 15y + 50
xy + 5x = 15y + 50
xy - 15y = 50 - 5x
y(x - 15) = 50 - 5x
y = (50 - 5x)/(x - 15)
So inverse function f^-1(x) = (50 - 5x)/(x - 15)
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2+3+7+34+7000+12242534
sashaice [31]

Answer:

The answer is 12249580

Step-by-step explanation:

add all the numbers:)

4 0
3 years ago
Read 2 more answers
The total surface area of a cuboid is 112cm^2. find the value of x. values given: 10cm and 2cm.
Tatiana [17]

Answer:

x= 5.6

Step-by-step explanation:

we will need to put the information we currently have into an equation:

10•2•x= 112

then multiply 10•2 which equals 20...then the equation wil turn out like this:

20•x=112

now you will isolate the x... but how?? dividing 20 by itslef.. cancelling it out, and if you do one thing to the other side of the equation, you have to do it to the other...

20/20•x=112/20

you will end up with x= 122/20

you can use a calculator for this step, but  to practice long division... (check the screen shot thingie)

hope this helped !! ^^

6 0
3 years ago
The data set shown below represents the number of times some families went out for dinner the previous week. 4, 2, 2, 0, 1, 6, 3
Mkey [24]

Dot plots are used to represent data using dots

The true statements about the dataset are:

  • The range of the number line should be 0 to 7 to represent the frequency.
  • Four families said they ate out twice the previous week.
  • One family said they ate out 5 times the previous week

The dataset is given as:

4, 2, 2, 0, 1, 6, 3, 2, 5, 1, 2, 4, 0, 1

Rearrange in ascending order

0, 0, 1, 1, 2, 2, 2, 2, 4, 4, 5, 6

Represent as a frequency table

Data     Frequency

0               2

1                2

2                4

3               0

4               2

5               1

6               1

See attachment for the dot plot

From the attachment, we can see that:

  • 4 has a frequency of 2
  • 5 has a frequency of 1

Also, the range on the dot plot can be 0 to 7, because it covers the given dataset

Hence, the true statements are: (a), (b) and (c)

Read more about dot plots at:

brainly.com/question/21862696

7 0
3 years ago
Read 2 more answers
Factor. Explain.<br> 24x³y²-4x²y+84x^4
Elan Coil [88]

Answer:

\boxed{\bold{4x^2\left(6xy^2-y+21x^2\right)}}

Step By Step Explanation:

Apply Exponent Rule \bold{\:a^{b+c}=a^ba^c}

\bold{x^4=x^2x^2,\:x^3y^2=x^2x}

\bold{24x^2x-4x^2y+84x^2x^2}

Rewrite 84: \bold{21\cdot \:4}

Rewrite 24: \bold{6\cdot \:4}

\bold{6\cdot \:4x^2x-4x^2y+21\cdot \:4x^2x^2}

Factor Out Common Term \bold{4x^2}

\bold{4x^2\left(6xy^2-y+21x^2\right)}

➤ \boxed{\bold{Mordancy}}

6 0
3 years ago
Ryan needs 20 feet of cable. The longest piece on her truck is 18 3/8 feet. How many feet too short is the cable on the truck? *
prisoha [69]

Answer:

1 5/8 too short

Step-by-step explanation:

The cable on the truck is 18 and 3/8 ... to complete the fraction into a whole number we would need 5 more parts in order to complete the entire 8 parts of the fraction. This would make the cable a whole 19 feet. Since Ryan needs 20 ft, this would leave us needing 1 more foot. Therefore, the cable in the truck is

1 5/8 too short

6 0
3 years ago
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