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suter [353]
3 years ago
7

Simplify-5|( 3 – 5•3^2)+2^3|•|4-2^3​

Mathematics
1 answer:
aleksley [76]3 years ago
6 0

Answer:

-232

Step-by-step explanation:

-5|+23|·|4-23|=-5|8|·|4-23|

-5|8|·|4-23|=-5|8|·|-4|

-5|8|·|-4|=-58·|-4|

-58·|-4|=-58·4

-58·4=-232

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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.

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

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