Answer:
![\huge\boxed{[-5;\ -2)\ \cup\ [3;\ 13)}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B%5B-5%3B%5C%20-2%29%5C%20%5Ccup%5C%20%5B3%3B%5C%2013%29%7D)
Step-by-step explanation:
The following piecewise functions are linear functions. The graph of any of them is a line segment.
We just need to calculate the value of the function at each end specified in the brace.
![y=3x-2\ \text{if}\ -1\leq x](https://tex.z-dn.net/?f=y%3D3x-2%5C%20%5Ctext%7Bif%7D%5C%20-1%5Cleq%20x%3C0)
Substitute x =-1 and x = 0:
![x=-1\\y=3(-1)-2=-3-2=-5\\\\x=0\\y=3(0)-2=0-2=-2](https://tex.z-dn.net/?f=x%3D-1%5C%5Cy%3D3%28-1%29-2%3D-3-2%3D-5%5C%5C%5C%5Cx%3D0%5C%5Cy%3D3%280%29-2%3D0-2%3D-2)
Range of this piece is [-5; -2)
![y=2x+3\ \text{if}\ 0\leq x](https://tex.z-dn.net/?f=y%3D2x%2B3%5C%20%5Ctext%7Bif%7D%5C%200%5Cleq%20x%3C5)
Substitute x =0and x = 5:
![x=0\\y=2(0)+3=0+3=3\\\\x=5\\y=2(5)+3=10+3=13](https://tex.z-dn.net/?f=x%3D0%5C%5Cy%3D2%280%29%2B3%3D0%2B3%3D3%5C%5C%5C%5Cx%3D5%5C%5Cy%3D2%285%29%2B3%3D10%2B3%3D13)
Range of this piece is [3; 13)
Therefore the range of the following piecewise function is:
![[-5;\ -2)\ \cup\ [3;\ 13)](https://tex.z-dn.net/?f=%5B-5%3B%5C%20-2%29%5C%20%5Ccup%5C%20%5B3%3B%5C%2013%29)
Look at the picture.
14.5% = 0.145 = 145/1000
14.5 = 14500/1000
<span>So 14.5% is a hundredth the size of 14.5, so they are not equal and the friend is incorrect.</span>
B dhs.3200
because 10% of 4000=400
20%=800
4000-800=3200
Answer:
Positive ; Positive
Step-by-step explanation:
Since there's a modulus, negative values also become positive
What are you trying to find? I’m completely lost