SOLUTION: Suzie’s flower shop estimates that supplies costs for one month will be given by the polynomial 3x^2 + 7x – 3. She estimates that utilities costs for one month is given by 5x + 2.

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Question 618952: Suzie’s flower shop estimates that supplies costs for one month will be given by the polynomial 3x^2 + 7x – 3. She estimates that utilities costs for one month is given by 5x + 2. Find and simplify an expression that would estimate Suzie’s total costs for one month.
Answer by nerdybill(7384) About Me  (Show Source):
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Suzie’s flower shop estimates that supplies costs for one month will be given by the polynomial 3x^2 + 7x – 3. She estimates that utilities costs for one month is given by 5x + 2. Find and simplify an expression that would estimate Suzie’s total costs for one month.
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"total costs" = "cost of supplies" + "cost of utilities"
"total costs" = (3x^2 + 7x – 3) + (5x + 2)
"total costs" = 3x^2 + 7x – 3 + 5x + 2
grouping terms:
"total costs" = 3x^2 + (7x + 5x) + (–3 + 2)
"total costs" = 3x^2 + (12x) + (–1)
"total costs" = 3x^2 + 12x – 1