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Bond [772]
3 years ago
7

An amusement park is open for 15 hours a day, 7 days a week

Mathematics
1 answer:
sertanlavr [38]3 years ago
3 0

Answer:

The domains are;

0 < x < 3 for f(x) = 15

3 ≤ x ≤ 7 for f(x) = 22

7 < x ≤ 15 for f(x) = 30

Step-by-step explanation:

The duration the amusement park is opened, t = 15 hours

The number of days the amusement is opened = 7 days a week

The prices for the admission are;

x < 3 hours = $15

3 ≤ x ≤ 7 hours = $22

x > 7 hours = $30

The functions are;

f(x) = 15 when x < 3; The domain = 0 < x < 3

f(x) = 22 when 3 ≤ x ≤ 7; The domain = 3 ≤ x ≤ 7

f(x) = 30 when x > 7; The domain = 7 < x ≤ 15.

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According to the solving  the perimeter of the given triangle is:

= -x³ + 13x² + 11x + 20

<h3>Describe the triangle:</h3>

Three edges and three vertices make up a triangle, which is a polygon. It is among the fundamental shapes in geometry. Triangle ABC refers to a triangle with the vertices A, B, and C. In Euclidean geometry, any three points that are not collinear determine a singular triangle and a singular plane at the same time.

<h3>What is the formula for the triangle's perimeter?</h3>

Simply summing the lengths of all the sides of a triangle yields its perimeter. A + B + C is the basic formula to determine the perimeter of a triangle with sides "a," "b," and "c."

<h3>According to the given data:</h3>

A = 9x+10x²-x³

B = -x² + 9x + 12

C = 4x²-7x+8

We know that the perimeter of the triangle is sum of all side of the triangle:

A+B+C

= (9x+10x²-x³) + (-x² + 9x + 12)+(4x²-7x+8)

= -x³ + 13x² + 11x + 20

To know more about Triangle visit:

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