1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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)
You might be interested in
A total of 70 tickets were sold for a concert and earn the organizers $804. If the cost of each ticket is either $10 or $12, how
crimeas [40]

Answer:

52 tickets cost $10 and 18 tickets cost $12

Step-by-step explanation:

10x+12y=804. (1)

x+y=70. (2)

From (2)

x=70-y

Substitute x=70-y into (1)

10x+12y=804

10(70-y)+12y=804

700-10y+12y=804

700+2y=804

2y=804-700

2y=104

y=104/2

y=52

Recall

x+y=70

x+52=70

x=70-52

x=18

52 tickets cost $10 and 18 tickets cost $12

5 0
3 years ago
what is an equation of the line perpendicular to y+1=-3(x-5) and passes through (4,-6)? please help quick
Fiesta28 [93]

Step-by-step explanation:

The slope of the given line is -3. Since perpendicular lines have slopes that are negative reciprocals of each other, the slope of the line we need to find is 1/3.

Substituting into point slope form, we get:

y + 6 = ⅓(x+6)

7 0
2 years ago
Read 2 more answers
Write this expression in a different way. 2x-438
yaroslaw [1]
2x-438 = -438+2x= 2(x-219)
3 0
3 years ago
Use greatest common factor and the distributive property to write an equivalent expression in factored form for the following Ex
aksik [14]
To solve this find the common number that can be divided by both and use that number.

In this case, 4 is divisible by both 4 and 12, and thus the final expression would be

4(d + 3e).

8 0
3 years ago
Read 2 more answers
how many kilograms of pure water is to be added to 100 kilograms of a 30% saline solution to make it a 10% saline solution
Irina-Kira [14]

Answer:

  200 kg

Step-by-step explanation:

If w is the amount of water added, then the concentration of the solution is ...

  salt/solute = 100(0.30)/(100 +w) = 0.10

  30 = 10 +0.10w . . . . . simplify

  20 = 0.10w . . . . . . . . subtract 10

  20/0.10 = w = 200 . . . . divide by 0.10

200 kg of water must be added to dilute the solution to 10%.

4 0
3 years ago
Other questions:
  • When solving a word problem, what step should you always do after reading the problem, but prior to writing the equation?
    15·1 answer
  • Find each product or quotient. Express your answer in exponential form.<br> (-x^5y^7)/y^3
    5·1 answer
  • Find the perimeter of the shape below:
    5·2 answers
  • All of the following are equivalent except _____.<br> 4 · y<br> 4 + y<br> 4y<br> (4)(y)
    10·2 answers
  • Witch expression is equivalent to 1/5(150x - 80y + 50 - 50x- 25y + 20)?
    6·1 answer
  • Help with this math thingy pls! &lt;3
    11·1 answer
  • ULICU<br> Find k.<br> k<br> 45°<br> 7-12 m<br> 45°<br> O 7<br> O 72<br> O 7V2<br> 2<br> O 14
    7·1 answer
  • ?????????????!!!!!!!!!
    15·2 answers
  • If u have 2 games then went to game stop and bought nba2k21, UFC4, Cyber punk 2027, and Avengers, then go back home and got on y
    13·1 answer
  • What is 12378 x 129 divided by 67 x 349 plus 18476 divided by 6 x2390
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!