Answer:
y =
x²
Step-by-step explanation:
Given that y and x² are directly proportional then the equation relating them is
y = kx² ← k is the constant of proportion
When x = 2
y = k × 2² = 4k
When x = 5
y = k × 5² = 25k
Then
25k - 4k = 20 ( difference between values is 20 )
21k = 20 ( divide both sides by 21 )
k = 
y =
x² ← equation of proportion
Answer:
13.87
Step-by-step explanation:
Three friends went out to eat dinner the bill came to 35.60. This means that the total bill for the dinner was 35.60.
The original bill was 35.60. If they shared the bill equally, the amount that each of them would pay would be
Total bill / number of friends
It becomes 35.60/3 = 11.87
The three friends also decided to leave a 6.00 tip and it was sent equally. This means that each friend would pay a tip of
6/3 = 2. ( total amount of tip paid divided by the number of friends)
Therefore, the total amount that each has to pay = amount each paid for the bill + amount that each paid for the tip
= 11.87 + 2 = 13.87
Answer:
1/4x -3
Step-by-step explanation:
To find the inverse of a function, exchange x and y and then solve for y
y =4x+12
Exchange x and y
x = 4y+12
Solve for y
Subtract 12 from each side
x-12 = 4y+12-12
x-12 = 4y
Divide by 4
(x-12)/4 = 4y/4
The inverse is
1/4x -3
Answer:
11
Step-by-step explanation:
8 + 9 + -6
8 + 9 = 17
17 + (-6) = 11
Answered by Gauthmath
Answer:
![9c^3 - 12c^2 - 18c - 24= [3c^2 - 6][3c - 4]](https://tex.z-dn.net/?f=9c%5E3%20-%2012c%5E2%20-%2018c%20-%2024%3D%20%5B3c%5E2%20-%206%5D%5B3c%20-%204%5D)
Step-by-step explanation:
Given

Required
Factor
Group into 2
![[9c^3 - 12c^2] - [18c + 24]](https://tex.z-dn.net/?f=%5B9c%5E3%20-%2012c%5E2%5D%20-%20%5B18c%20%2B%2024%5D)
Factorize each group
![3c^2[3c - 4] - 6[3c - 4]](https://tex.z-dn.net/?f=3c%5E2%5B3c%20-%204%5D%20-%206%5B3c%20-%204%5D)
Factor out 3c - 4
![[3c^2 - 6][3c - 4]](https://tex.z-dn.net/?f=%5B3c%5E2%20-%206%5D%5B3c%20-%204%5D)
Hence:
![9c^3 - 12c^2 - 18c - 24= [3c^2 - 6][3c - 4]](https://tex.z-dn.net/?f=9c%5E3%20-%2012c%5E2%20-%2018c%20-%2024%3D%20%5B3c%5E2%20-%206%5D%5B3c%20-%204%5D)