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Anastasy [175]
3 years ago
12

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 produces 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 produces a maximum profit.

ALGEBRA 1 ANSWERS ONLY PLS
Mathematics
1 answer:
Keith_Richards [23]3 years ago
4 0

Answer:

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

Step-by-step explanation:

f(x) = −x² + 50x − 264

−x² + 50x − 264 = 0

-x² + 44x + 6x - 264 = 0

-x(x - 44) + 6(x - 44) = 0

(x - 44)(-x + 6) = 0

x = 6, 44

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Figure TUVS is a parallelogram.
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Angles T and V of the parallelogram are equal to 91°.

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In the parallelogram TUVS, adjacent angles U and V are given as,

U = 4x+9

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Since U and V are adjacent angles, and as per the properties of a parallelogram, sum of adjacent angles is equal to 180°.

4x+9 + 6x-29 = 180

10x - 20 =180

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Calculating the Angles of the Parallelogram

∠U = 4x + 9

∠U = 4(20) + 9

∠U = 80 + 9

∠U = 89°

∠V = 6x - 29

∠V = 6(20) - 29

∠V = 120 - 29

∠V = 91°

According to the properties of a parallelogram, opposite angles are of equal measure.

∴ ∠T = ∠V and ∠S = ∠U

⇒ ∠T = 91° and ∠S = 89°

Learn more about a parallelogram here:

brainly.com/question/1563728

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