Question

PLEASE ANSWER

Three friends, Martin, Tyreese, and Braydon, are collecting donations to help in their community's clean-up initiative. Their total contribution goal is represented by the expression 8x2 − 4xy + 9. The friends have already collected the following amounts:

Martin: 3xy + 17

Tyreese: x2

Braydon: 2x2 − 6

Which expression represents the amount of money the friends still need to collect to meet their goal?

11x2 −xy + 20
5x2 − xy + 20
5x2 − 7xy − 2
3x2 + 3xy + 11

Answer 1

Answer: 5x^2 - 7xy - 2 (choice C)

Work Shown

amount needed = total - (Martin + Tyreese + Braydon)

= (8x^2-4xy+9) - (3xy+17 + x^2 + 2x^2-6)

= 8x^2-4xy+9 - 3xy-17 - x^2 - 2x^2+6

= (8x^2-x^2-2x^2) + (-4xy-3xy) + (9-17+6)

= 5x^2 - 7xy - 2

note: Something like 5x^2 means
`5\text{x}^2`

Answer 2

The expression that represents the amount of money the friends still need to collect is 3x2 + 3xy + 11.

Explanation: