MATHEMATICS HIGH SCHOOL

A yoga studio sells monthly memberships. the function f(x) = −x2 50x − 264 models the profit in dollars, where x is the number of memberships sold. determine the zeros, and explain what these values mean in the context of the problem.

Answers

Answer 1

Answer:

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

To determine the zeroes, calculate:

The function we have is: $f(x) = -x^(2) +50x-264$

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:

$x_(1,2) =(-b+-(b^(2)-4ac) )/(2a) \n$

For,

$a=-1,b=50,c=-264: x^(1,2) =\frac{-50+-\sqrt[]{50^(2) -4(-1)(-264)} }{2(-1)} \nx_(1) =\frac{-50+\sqrt[]{50^(2) -4(-1)(-264)} }{2(-1)} =\frac{-50+\sqrt[]{50^(2) -4*1*264} }{2(-1)}=\frac{-50+\sqrt[]{1444} }{-2} =6\nx_(2) =\frac{-50+\sqrt[]{50^(2) -4(-1)(-264)} }{2(-1)} =\frac{-50-\sqrt[]{50^(2) -4*1*264} }{2(-1)}=\frac{-50-\sqrt[]{1444} }{-2} =44\n$

So, the zeroes are $x=6, x=44$ .

Therefore, the zeros represent the number of monthly memberships where no profit is made; x = 6, x = 44.

Know more about a function here:

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The complete question is given below:

A yoga studio sells monthly memberships. The function f(x) = −x2 + 50x − 264 models the profit in dollars, where x is the number of memberships sold.

Determine the zeros, and explain what these values mean in the context of the problem.

x = 6, x = 44; The zeros represent the number of monthly memberships that produce a maximum profit.

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

x = 25, x = 361; The zeros represent the number of monthly memberships where no profit is made.

x = 25, x = 361; The zeros represent the number of monthly memberships that produce a maximum profit.

Answer 2

Answer:

Answer:

The answer is: x = 6, x = 44; The zeros represent the number of monthly memberships when no profit is made.

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Answers

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Answers

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Answers

Answer:

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Answers

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Answers

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