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spayn [35]
3 years ago
5

- A newspaper article discusses the rising prices of dairy products.it predicts that next year prices will be 115% of current pr

ices. the article says the price of a certain dairy product will be $2.88. what is the current price
Mathematics
1 answer:
34kurt3 years ago
8 0
Let x be the current price of the product

1.15 * x = $2..88

So when rearranging the equation, you get:
x = 2.88/1.15 = $2.50 (to the nearest cent)
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What is the equation of the line that is parallel to the given line and passes theought the point (12, -2)
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Answer:

<u>Option </u><u>D</u> (y = 5/6x -12).

Step-by-step explanation:

Hey there!

The equation of the line which passes through the point (12,-2) is (y+2) = m2(x-12)………(i) [Using one point formula].

According to the question, the first line passes through point (12,6) and (0,-4).

So,

slope(m1) =  \frac{y2 - y1}{x2 - x1}

or \: m1 =  \frac{ - 4 - 6}{0 - 12}

or \: m1 =   \frac{5}{6}

Therefore, the slope of the line is 5/6.

Now as per the condition of parallel lines, m1 =m2 = 5/6.

So, keeping the value of m2 in equation (i), we get;

(y+2) = 5/6(x-12)

y + 2 =  \frac{5}{6} x - 10

or, y = 5/6x - 12.

Therefore, the required equation is y = 5/6 X - 12.

<u>Hope</u><u> </u><u>it </u><u>helps</u><u>!</u>

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When dividing polynomials, the operation may not result in another polynomial. In this case you normally end up with rational expression in the fraction form.

This operation is said not closed.

In our case this is option D.

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