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Three friends, Jessa, Tyree, and Ben, are collecting canned food for a culinary skills class. Their canned food collection goal is represented by the expression 9x2 − 5xy + 6. The friends have already collected the following number of cans:

Jessa: 3xy − 7
Tyree: 3x2 + 15
Ben: x2

Part A: Write an expression to represent the amount of canned food collected so far by the three friends. Show all your work. (5 points)

Part B: Write an expression that represents the number of cans the friends still need to collect to meet their goal. Show all your work. (5 points)

Respuesta :

The expression that represents the amount of canned food collected so far by the three friends is 4x² + 3xy + 8.

The expression represents the number of cans the friends still need to collect to meet their goal is  5x² - 8xy - 2.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Their canned food collection goal is represented by the expression:

9x2 − 5xy + 6 ______(A)

Number of cans collected:

Jessa = 3xy - 7 ____(1)

Tyree = 3x² + 15 _____(2)

Ben = x² ______(3)

The expression that represents the amount of canned food collected so far by the three friends:

From (1), (2), and (3) we get,

3xy - 7 + 3x² + 15 + x²

4x² + 3xy + 8 ____(B)

The expression represents the number of cans the friends still need to collect to meet their goal:

From (A) and (B) we get,

= 9x² − 5xy + 6 - (4x² + 3xy + 8)

= 9x² − 5xy + 6 - 4x² - 3xy - 8

= 5x² - 8xy - 2

Thus,

The expression that represents the amount of canned food collected so far by the three friends is 4x² + 3xy + 8.

The expression represents the number of cans the friends still need to collect to meet their goal is  5x² - 8xy - 2.

Learn more about expressions here:

https://brainly.com/question/3118662

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