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DedPeter [7]
2 years ago
9

Marina wants to purchase a rosebush ford dollars at a garden store. She has a coupon good for

Mathematics
1 answer:
soldier1979 [14.2K]2 years ago
5 0

Answer:

Part A:  <u>0.9d - 4.5</u>

Part B:  <u>0.9d - 5</u>

Part C:  <u>Order that will save Marina money is "discount applied first, then coupon"</u>

<u></u>

Step-by-step explanation:

Part A

The rosebush costs "d" dollars

Coupon = $5 OFF

Discount = 10%

We want to find cost of rosebush when COUPON APPLIED 1st and DISCOUNT APPLIED 2nd.

Cost = d

Coupon Applied Cost = (d - 5)

Discount Applied Cost = 10% off means 100 - 10 = 90% of the price remains, that is 90/100 = 0.9 times the price, so:

0.9(d - 5) = <u>0.9d - 4.5</u>

<u></u>

Part B

When we apply 10% discount to the initial price of "d", we get 90% of the price remaining.

So, price would be:

Normal Price = d

Discount Price = 0.9d

Now, coupon applied of $5, we get:

<u>0.9d - 5</u>

<u></u>

Part C

We have two expressions, let the original price, d, be 100, so

Part A price would be 0.9d - 4.5 = 0.9(100) - 4.5 = 85.5

Part B price would be 0.9d - 5 = 0.9(100) - 5 = 85

So, Marina will save up money going on the 2nd option.

<u>Order that will save Marina money is "discount applied first, then coupon"</u>

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Degree of a polynomial gives the highest power of its terms. Yes there is a difference between the degrees of sum and difference of the polynomials.

<h3>What is degree of a polynomial?</h3>

Degree of a polynomial is the highest power that its terms pertain(for multi-variables, the power of term is addition of power of variables in that term).

Thus, in x^3 + 3x^2 + 5, the degree of the polynomial is 3 as the highest power in its terms is 3.

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Those terms which have same variables raised with same powers.

For example, x^3 and 3x^3  are like terms since variable is same, and it is raised to same power 3.

For example 4x^2 and x^3 are not like terms as the variables are same but powers aren't same.

The given polynomials are:

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Their sum is

c(x) + p(x)  = x^7 + 3x^5 + 3x + 1 + x^7 + 5x + 10 = (1+1)x^7 + 3x^5 + (3+5)x + 11\\\\c(x) + p(x) = 2x^7 + 3x^5 + 8x + 11

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The sum's degree is 7

Their difference is:

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Difference's degree is 5

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Thus, Yes there is a difference between the degrees of sum and difference of the polynomials.

Learn more about subtraction of polynomials here:

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