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The cost (in dollars) of making $b$ bracelets is represented by $4+5b$ . The cost (in dollars) of making $b$ necklaces is represented by $8b+6$ . Write a polynomial in standard form that represents how much more it costs to make $b$ necklaces than $b$ bracelets.

Respuesta :

Answer:  3b+2

Work Shown:

b = number of items (either bracelets or necklaces)

R = cost to make b bracelets

R = 4+5b

N = cost to make b necklaces

N = 8b+6

D = difference between N and R

D = N - R

D = (8b+6) - (4 + 5b)

D = 8b+6 - 4 - 5b

D = (8b-5b) + (6 - 4)

D = 3b + 2

The polynomial in standard form that represents how much more it costs to make $b$ necklaces than $b$ bracelets should be 3b +2

Polynomial:

Since

b = number of items (either bracelets or necklaces)

R = cost to make b bracelets

And, the equation is R = 4+5b

Mow

N = cost to make b necklaces

And,

N = 8b+6

Also,

D = difference between N and R

So,

D = N - R

D = (8b+6) - (4 + 5b)

D = 8b+6 - 4 - 5b

D = (8b-5b) + (6 - 4)

D = 3b + 2

hence, The polynomial in standard form that represents how much more it costs to make $b$ necklaces than $b$ bracelets should be 3b +2

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