Answer: Both the equations when solved have different answers, the solutions for both the equation are given below. In the the first equation 4 (x-3)=16 , 4 is multiplied with both the terms in the bracket. Whereas, in the second equation 4x- 2 = 16 there is no variable to multiply with the LHS equation
Solution:
4 (x-3)=16
4x - 12 = 16
4x = 16 + 12
4x = 28
x = 7
4x - 3 = 16
4x = 16 + 3
4x = 19
x = 19/4
x = 4.75
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
3/4...............................
The one that goes from corner to corner......i think if i get it wrong sorry