Answer:
139
Step-by-step explanation:
(5*8)+(9*11)
40+99
139
All functions have an inverse expression.
- The cost function is:
. - The inverse function is:
![\mathbf{C'(x) = 0.01x - 400 }](https://tex.z-dn.net/?f=%5Cmathbf%7BC%27%28x%29%20%3D%200.01x%20-%20400%20%7D)
From the question, we have the following observations:
- Base fare = 50000 pesos for first 100
- Additional guest = 100 pesos
So, the cost function would be:
![\mathbf{C(x) = 50000 + (x - 100) \times 100}](https://tex.z-dn.net/?f=%5Cmathbf%7BC%28x%29%20%3D%2050000%20%2B%20%28x%20-%20100%29%20%5Ctimes%20100%7D)
Where: x represents the number of guests, and C(x) represents the cost function
Expand
![\mathbf{C(x) = 50000 + 100x - 10000}](https://tex.z-dn.net/?f=%5Cmathbf%7BC%28x%29%20%3D%2050000%20%2B%20100x%20-%2010000%7D)
Evaluate like terms
![\mathbf{C(x) = 40000 + 100x}](https://tex.z-dn.net/?f=%5Cmathbf%7BC%28x%29%20%3D%2040000%20%2B%20100x%7D)
To calculate the inverse function, we have:
![\mathbf{C(x) = 40000 + 100x}](https://tex.z-dn.net/?f=%5Cmathbf%7BC%28x%29%20%3D%2040000%20%2B%20100x%7D)
Replace C(x) with y
![\mathbf{y = 40000 + 100x}](https://tex.z-dn.net/?f=%5Cmathbf%7By%20%3D%2040000%20%2B%20100x%7D)
Swap x and y
![\mathbf{x = 40000 + 100y}](https://tex.z-dn.net/?f=%5Cmathbf%7Bx%20%3D%2040000%20%2B%20100y%7D)
Subtract 40000 from both sides
![\mathbf{x - 40000 = 100y}](https://tex.z-dn.net/?f=%5Cmathbf%7Bx%20-%2040000%20%3D%20100y%7D)
Divide both sides by 100
![\mathbf{\frac{x - 40000}{100} = y}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cfrac%7Bx%20-%2040000%7D%7B100%7D%20%3D%20y%7D)
Rewrite as:
![\mathbf{y= \frac{x - 40000}{100} }](https://tex.z-dn.net/?f=%5Cmathbf%7By%3D%20%5Cfrac%7Bx%20-%2040000%7D%7B100%7D%20%7D)
Split
![\mathbf{y= \frac{x}{100} - \frac{40000}{100} }](https://tex.z-dn.net/?f=%5Cmathbf%7By%3D%20%5Cfrac%7Bx%7D%7B100%7D%20-%20%5Cfrac%7B40000%7D%7B100%7D%20%7D)
![\mathbf{y= 0.01x - 400 }](https://tex.z-dn.net/?f=%5Cmathbf%7By%3D%200.01x%20-%20400%20%7D)
Hence, the inverse function is: ![\mathbf{C'(x) = 0.01x - 400 }](https://tex.z-dn.net/?f=%5Cmathbf%7BC%27%28x%29%20%3D%200.01x%20-%20400%20%7D)
Read more about functions and inverse at:
brainly.com/question/10300045
129 is 249 degrees warmer than -120 because -120+120=0 and then you add 129 to 0 which is 129. that means you add 120 and 129 to get 249
Answer:5√(3)z^9
Step-by-step explanation:
Square root of 75z^18
√(75z^18)
√(75) x √(z^18)
√(25x3) x (z^18)^(1/2)
√(25) x √(3) x z^(18x1/2)
5 x √(3) x z^9
5√(3)z^9
To find 10% you would just divide 200 by 10
=200/10
=20
hope this helped !