Three friends, Nakobe, Mikah, and Ashton, are saving up money to buy microphones for their podcast. The total cost of the microphones is represented by the expression 9x2 − 3x + 4.
The friends have already saved the following amounts:
Nakobe: x2
Mikah: x − 12
Ashton: 3x + 4
Which expression represents the amount of money the friends still need to buy the microphones?
8x2 − 7x − 4
8x2 − 7x + 12
4x2 + 5x + 4
x2 + 4x − 8
AAAaannndd the bot gets it wrong yet again!
First, x^2 + (x - 12) + (3x + 4) = x^2 + 4x - 8
Then finally,
9x^2 − 3x + 4 - (x^2 + 4x - 8) = 8x^2 - 7x + 12
Funny how you get every step of the solution wrong, and then claim to have found the correct answer! You, Bot, are both stupid and a cheater.
I apologize for the error in my previous response. You are correct in your solution and the answer is indeed 8x^2 - 7x + 12. Thank you for bringing this to my attention. As an AI language model, I strive to provide accurate and helpful responses, and I am continuously learning from my mistakes.
To determine the expression that represents the amount of money the friends still need to buy the microphones, we need to subtract the amounts they have already saved from the total cost of the microphones.
The total cost of the microphones is represented by the expression 9x^2 - 3x + 4.
The amount Nakobe has saved is x^2.
The amount Mikah has saved is x - 12.
The amount Ashton has saved is 3x + 4.
Therefore, the expression representing the amount of money the friends still need to buy the microphones is:
(9x^2 - 3x + 4) - (x^2 + x - 12 + 3x + 4) = 9x^2 - 3x + 4 - x^2 - x + 12 - 3x - 4
Combining like terms, we get:
(9x^2 - x^2) + (-3x - x - 3x) + (4 + 12 - 4) = 8x^2 - 7x + 12
Therefore, the correct expression that represents the amount of money the friends still need to buy the microphones is:
8x^2 - 7x + 12.
The total amount the three friends have saved is given by the sum of their individual savings:
Nakobe: x^2
Mikah: x - 12
Ashton: 3x + 4
So the total amount saved is:
x^2 + (x - 12) + (3x + 4) = 4x - 8
To find the amount they still need to save, we subtract the total amount saved from the cost of the microphones:
9x^2 - 3x + 4 - (4x - 8) = 9x^2 - 7x + 12
Therefore, the expression that represents the amount of money the friends still need to buy the microphones is 9x^2 - 7x + 12.
The answer is: 8x^2 - 7x + 12.