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marin [14]
2 years ago
11

A store advertises 15% off an item that regularly sells for $300.

Mathematics
1 answer:
nataly862011 [7]2 years ago
8 0

Answer:

The sale price of the item is  $ 255

Step-by-step explanation:

To determine the amount of discount ( d ) offered by the store, we calculate  

15 %  of the sale price. Thus:

d =  300  ×  15 ÷ 100

d  =  3 00  ×  15  ÷ 1 00  (take the 2 zeros out on both the hundred and 3 hundred)

d  =  3  ×  15

d  =  45

If the amount of discount is known, the sale price ( s ) of the item will be the regular price minus the discount. Hence:

s  =  300  −  45

s  =  255

Hope this helps you! If not sorry!

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Part A. We are given the following polynomial:

\mleft(\mright)=-2\mleft(+19\mright)^3\mleft(-14\mright)\mleft(+3\mright)^2

This is a polynomial of the form:

p=k(x-a)^b(x-c)^d\ldots(x-e)^f

The x-intercepts are the numbers that make the polynomial zero, that is:

\begin{gathered} p=0 \\ (x-a)^b(x-c)^d\ldots(x-e)^f=0 \end{gathered}

The values of x are then found by setting each factor to zero:

\begin{gathered} (x-a)=0 \\ (x-c)=0 \\ \text{.} \\ \text{.} \\ (x-e)=0 \end{gathered}

Therefore, this values are:

\begin{gathered} x=a \\ x=c \\ \text{.} \\ \text{.} \\ x=e \end{gathered}

In this case, the x-intercepts are:

\begin{gathered} x=-19 \\ x=14 \\ x=-3 \end{gathered}

The multiplicity are the exponents of the factor where we got the x-intercept, therefore, the multiplicities are:

Part B. The degree of a polynomial is the sum of its multiplicities, therefore, the degree in this case is:

\begin{gathered} n=3+1+2 \\ n=6 \end{gathered}

To determine the end behavior of the polynomial we need to know the sign of the leading coefficient that is, the sign of the coefficient of the term with the highest power. In this case, the leading coefficient is -2, since the degree of the polynomial is an even number this means that both ends are down. If the leading coefficient were a positive number then both ends would go up. In the case that the leading coefficient was positive and the degree and odd number then the left end would be down and the right end would be up, and if the leading coefficient were a negative number and the degree an odd number then the left end would be up and the right end would be down.

Part C. A sketch of the graph is the following:

If the multiplicity is an odd number the graph will cross the x-axis at that x-intercept and if the multiplicity is an even number it will tangent to the x-axis at that x-intercept.

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Explanation:

Each box contains

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The ratio that compares the number of blueberry bagels in one box to the number of onion bagels in one box will be calculated below as

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This means that for every one onionbagels in the box, there are 2 blueberry bagels

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Answer:

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