Suzies flower shop estimates that supplies cost for one month will be given by the polynomial 3x^2+7x-3.
She estimates the utilities costs for one month is given by 5x+2 Find and simplify an expression that would estimate suzie's total cost for one month.
Add the two
3x^2 + 7x - 3 + 5x + 2 = ?
combine like terms
3x^2+7x-3
5x+2
3x^2+12x-1 total cost
To estimate Suzie's total cost for one month, we need to add the supplies cost and the utilities cost.
Supplies cost = 3x^2 + 7x - 3
Utilities cost = 5x + 2
Total cost = Supplies cost + Utilities cost
Total cost = (3x^2 + 7x - 3) + (5x + 2)
To simplify the expression, we can combine like terms:
Total cost = 3x^2 + 7x - 3 + 5x + 2
Total cost = 3x^2 + (7x + 5x) + (-3 + 2)
Total cost = 3x^2 + 12x - 1
Therefore, the expression that would estimate Suzie's total cost for one month is 3x^2 + 12x - 1.
To estimate Suzie's total cost for one month, you need to add the supplies cost and the utilities cost.
The supplies cost is given by the polynomial 3x^2 + 7x - 3.
The utilities cost is given by the expression 5x + 2.
To find the total cost, simply add these two expressions together:
(3x^2 + 7x - 3) + (5x + 2)
To simplify, combine like terms:
3x^2 + 7x - 3 + 5x + 2
Group the x terms together and the constant terms together:
(3x^2 + 7x + 5x) + (-3 + 2)
Combine like terms within each group:
3x^2 + 12x + (-1)
The final expression that estimates Suzie's total cost for one month is:
3x^2 + 12x - 1