Answer:
B. 2
Step-by-step explanation:
3*6*2 = 36
if this is correct would you mind giving me a crown? :)
have a good day.
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
Answer:
C. (x-2)^2=7
Step-by-step explanation:
What you have to do first is to get rid of the 3 in the x^2 so you will divide 3 by the whole thing to get x^2-4x=3.
You will then divide -4 by 2 and then square the answer to get 4.
You will then add the 4 into the end of the equation and to the 3 to get x^2-4x+4=7.
You will then make into a perfect square (x-2)^2=7 and that is your answer.
Answer: The finial answer is 15.8
This problem is just one about triangles! All of the faces of the cube are perpendicular to their adjacent faces, so the diagonal of one of the face will be a right angle with the edge of the cube. Thus, you can create a right triangle. Finally, use the Pythagorean Theorem to solve for x, the length of the side of the cube.
Step-by-step explanation:
4(x+7) becomes 4x+28 you multipli the 4 in parentheses ans 2(x+7) becomes 2x+14
4x+28=2x+14 you move the x termes to the left and other numbers to the right look:
4x-2x=14-28 when you change the sides always change the sign +or-
2x=-14
2x/2=-14/2
X=-7