Answer:
<h2>
h(x) = 4x+48</h2>
Step-by-step explanation:
Given the function f(x) = 1/4x -12. To get the inverse of the function, first we will let y = f(x) to have y = 1/4x - 12.
Then we will make x the subject of the formula as shown:
y = 1/4x - 12
adding 12 to both sides we have;
y + 12= 1/4x - 12 + 12
y + 12 = 1/4x
Multiplying both sides by 4 we have;
4(y+12) = x
x = 4y + 48
Substituting y for x
y = 4x+48
f^-1(x) = 4x+48
h(x) = 4x+48
Thee final expression will give the inverse of the function
Answer:
What's the question???
Step-by-step explanation:
Answer:
The money receive by Paul is
.
Step-by-step explanation:
Given as :
The ratio of share of money among three people as
Stephen : Paul : Bridget = 3 : 4 : 2
The total money receive by Stephen and Bridget = ![\pounds 50](https://tex.z-dn.net/?f=%5Cpounds%2050)
Let The money receive by Stephen = 3 x
Let The money receive by Paul = 4 x
Let The money receive by Bridget = 2 x
Now, According to question
The total money receive by Stephen and Bridget = ![\pounds 50](https://tex.z-dn.net/?f=%5Cpounds%2050)
I.e 3 x + 2 x = ![\pounds 50](https://tex.z-dn.net/?f=%5Cpounds%2050)
i.e 5 x = ![\pounds 50](https://tex.z-dn.net/?f=%5Cpounds%2050)
∴ x =
x = ![\pounds 10](https://tex.z-dn.net/?f=%5Cpounds%2010)
So, The money receive by Stephen = 3 ×
= ![\pounds 30](https://tex.z-dn.net/?f=%5Cpounds%2030)
Let The money receive by Paul = 4 ×
= ![\pounds 40](https://tex.z-dn.net/?f=%5Cpounds%2040)
Let The money receive by Bridget = 2 ×
=
Hence The money receive by Paul is
. Answer
The equation of the value of the car over a year is 2357.14x + y = 33,000. Then the value of the car 4 years after it was purchased is $23571.43.
<h3>What is the linear system?</h3>
A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
A new car is purchased for $33,000 and overtime its value depreciates by one half every 7 years.
Then the value of the car is given by the linear equation. Then the line is passing through (0, $33,000) and (7, $16,500). Then we have
Let y be the value of the car and x be the number of years. Then we have
![\rm y \ - \ 33000 \ \ = -\dfrac{16,500}{7} (x-0)\\\\y+2357.14x = 33000](https://tex.z-dn.net/?f=%5Crm%20y%20%5C%20%20%20-%20%5C%20%2033000%20%5C%20%5C%20%3D%20-%5Cdfrac%7B16%2C500%7D%7B7%7D%20%28x-0%29%5C%5C%5C%5Cy%2B2357.14x%20%3D%2033000)
Then the value of the car 4 years after it was purchased, to the nearest hundred dollars will be
![\begin{aligned} \rm y +2,357.14 \times 4 &= 33,000\\\\\rm y + 9,428.57 &= 33,000\\\\\rm y &= 23,571.43 \end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%20%5Crm%20y%20%2B2%2C357.14%20%5Ctimes%204%20%26%3D%2033%2C000%5C%5C%5C%5C%5Crm%20y%20%2B%209%2C428.57%20%26%3D%2033%2C000%5C%5C%5C%5C%5Crm%20y%20%26%3D%2023%2C571.43%20%5Cend%7Baligned%7D)
More about the linear system link is given below.
brainly.com/question/20379472
#SPJ1
Answer:
it's 50
Step-by-step explanation:
the first day is 25 and the next day is also 25 add them together and get 50 dollars