A piecewise function is a function that behaves differently in different intervals of its domain.
The piecewise function is:
- f(x) = $10 if 0 < x < 6
- f(x) = $15 if 6 ≤ x ≤ 18
- f(x) = $20 if 18 < x
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<em>Here the given information for the function is:</em>
- The museum charges $10 for kids of 5 and under
- The museum charges $15 for ages of 6 to 18
- The museum charges $20 for ages larger than 18.
Then if we define x as the age of the person, the function f(x) that tells the <u>cost of the ticket will be:</u>
- f(x) = $10 if 0 < x < 6
- f(x) = $15 if 6 ≤ x ≤ 18
- f(x) = $20 if 18 < x
So as you can see, depending on the value of x and in which interval it belongs, the function behaves differently.
If you want to learn more, you can read:
brainly.com/question/12561612
Answer:
answer
Step-by-step explanation:
The perimeter solved shows that the dimensions of the rectangle are 32 and 10.
<h3>How to calculate the perimeter</h3>
Let the width be w
Length = 3w + 2
Perimeter = 2(length + width)
Perimeter = 2(3w + 2) + 2w
6w + 4 + 2w = 84
8w + 4 = 84
8w = 84 - 4
w = 80/8
w = 10
Length = 3w + 2
Length = 3(10) + 2
Length = 32
The dimensions of the rectangle are 32 and 10.
Learn more about perimeter on:
brainly.com/question/19819849
Answer:
75.96 Degrees
Step-by-step explanation:
Use the trigonometric functions of Sine Cosine and Tangent
(SOH CAH TOA)
The unknown angle is near the adjacent side of 2 and the opposite side of 8
Therefore you use the Tangent function
However, since it's the angle that needs to be found, you need to use Arc Tangent (The inverse operation)
Unknown Angle = ArcTan (8 / 2)
Unknown Angle = 75.96 Degrees
Note: ArcTan is just Tan to the power of -1
On my calculator I have to click shift then click the tan function to access this it may be different on yours
