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nadezda [96]
3 years ago
11

Mario buys a package of 4 batteries for under $2.52. what is the price range for each battery?

Mathematics
1 answer:
navik [9.2K]3 years ago
7 0
You would do...


4 x 2.52 = 10.08

So it would be $10.08.
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A yoga studio sells monthly memberships. The function f(x) = −x2 + 50x − 264 models the profit in dollars, where x is the number
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<h2>Answer:</h2>

<em>x = 6, x = 44; The zeros represent the number of monthly memberships where no profit is made.</em>

<h2>Explanation:</h2>

Here we have the function:

f(x) = -x^2 + 50x - 264

that models the profit in dollars, where x is the number of memberships sold. In order to get the zeros we'll use the quadratic formula:

\quad x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a} \\ \\ \\ For: \\ \\ a=-1,\:b=50,\:c=-264:\quad x_{1,\:2}=\frac{-50\pm \sqrt{50^2-4\left(-1\right)\left(-264\right)}}{2\left(-1\right)} \\ \\ \\ x_{1}=\frac{-50+\sqrt{50^2-4\left(-1\right)\left(-264\right)}}{2\left(-1\right)}=\frac{-50+\sqrt{50^2-4\cdot \:1\cdot \:264}}{-2\cdot \:1}=\frac{-50+\sqrt{1444}}{-2\cdot \:1}=6 \\ \\ \\

x_{2}=\frac{-50-\sqrt{50^2-4\left(-1\right)\left(-264\right)}}{2\left(-1\right)}=\frac{-50-\sqrt{50^2-4\cdot \:1\cdot \:264}}{-2\cdot \:1}=\frac{-50-\sqrt{1444}}{-2}=44

So the zeros are:

x=6 \\ \\ x=44

The zeros occurs when f(x)=0, so we can conclude that at those points there is no any profit.

In conclusion:

<em>x = 6, x = 44; The zeros represent the number of monthly memberships where no profit is made.</em>

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