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Aleks [24]
2 years ago
8

The number of pairs of corresponding angles formed by a transversal of two lines is

Mathematics
1 answer:
adell [148]2 years ago
5 0

Answer:

When a transversal intersects with two parallel lines eight angles are produced. The eight angles will together form four pairs of corresponding angles.

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the school newspaper has a circulation of 500 and sells for $.035 a copy. the students decide to raise the price to increase the
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Let x be the number of times they raise the price on the newspaper. Then the new cost of the newspaper is

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Now, we know that the circulation is of 500, assuming that they sold every newspaper at the original price now the number the will sell will be

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Plugging the value of y in the first expression we have that the income will be

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Then the income is given by the function

f(x)=-x^2+18x+175

To find the maximum value of this functions (thus the maximum income) we need to take the derivative of the function,

\begin{gathered} \frac{df}{dx}=\frac{d}{dx}(-x^2+18x+175) \\ =-2x+18 \end{gathered}

no we equate the derivative to zero and solve for x.

\begin{gathered} \frac{df}{dx}=0 \\ -2x+18=0 \\ -2x=-18 \\ x=\frac{-18}{-2} \\ x=9 \end{gathered}

This means that we have an extreme value of the function when x=9. Now we need to find out if this value is a maximum or a minimum. To do this we need to take the second derivative of the function, then

\begin{gathered} \frac{d^2f}{dx^2}=\frac{d}{dx}(\frac{df}{dx}) \\ =\frac{d}{dx}(-2x+18) \\ =-2 \end{gathered}

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With this we conclude that the number of times that they should raise the price to maximize the income is 9. This means that they will raise the price of the newspaper (9)($0.05)=$0.45.

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if there is 1 number to the right of the decimal, put that number over 10....not the whole number, just the number to the right of the decimal. Leave the number to the left of the decimal alone.

if there were 2 numbers to the right of the decimal, then put those two numbers over 100.

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if there were 3 numbers to the right of the decimal, put those 3 numbers over 1000

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