Answer:
.5
Step-by-step explanation:
.5
yellow= .30
orange= .50
green= .10
red- .10
Answer:
30≤-8+x
Step-by-step explanation:
The wording no greater then lets us know that the inequality is less than or equal to. The wording sum means the its adding the number and negative 8. Lets have x represent the unknown number.
30≤-8+x
Answer:
80n - 64p + 72
Step-by-step explanation:
8(10n) + 8(-8p) + 8(9)
80n - 64p + 72
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.