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Paha777 [63]
3 years ago
14

Which value of a would make the following expression completely factored?

Mathematics
1 answer:
Goryan [66]3 years ago
5 0

Answer:

The answer is 12.               

12 is not a perfect square like the others.      

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anyanavicka [17]

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(1/2, 6).

Step-by-step explanation:

Turning points in a graph may exist whenever the derivative equals 0. Hence, let’s differentiate and then solve our function.

We have:

\displaystyle y=8x^2+\frac{2}{x}

Take the derivative of both sides with respect to x:

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We will now set this equal to 0 and solve for x. Hence:

\displaystyle \begin{aligned} 0&=\frac{16x^3-2}{x^2} \\ 0&=16x^3-2 \\ 2&=16x^3 \\ \frac{1}{8}&=x^3 \\ \frac{1}{2}&=x \end{aligned}

Hence, the graph turns at x=1/2. This is the x-coordinate.

Then it follows that the y-coordinate will be:

\displaystyle{\begin{aligned} y&=8(\frac{1}{2})^2+\frac{2}{\frac{1}{2}} \\ y&=8(1/4)+2(2) \\ y&=2+4 \\ y&=6\end{aligned}

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8 0
3 years ago
An item has a listed price of $35. If the sales tax rate is 9%, how much is the sales tax (in dollars)?
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