I one is 8x<24 and -8≤2x-4
Hence x <24/8 =3 and -4≤2x: divide by positive 2 to get -2≤x
Hence solution is -2≤x<3
Therefore c is the correct matching for 1.
2) 5x-2>13 or -4x≥8
i.e. 5x>15 or x≤8/(-4) = -2 (since dividing by negative inequality reverses)
Or x>3 or x ≤-2
Hence solution is two regions to the right of 3 excluding 3 and left of -2 including -2.
Graph b is the correct match.
3) -25≤9x+2<20
Subtract 2
-27≤9x<18: Now divide by positive 9
-3≤x<2
Hence graph is the region between -3 and 2 including only -3.
Graph a is correct matching for question 3.
Answer: ![5=log_{2}(32)](https://tex.z-dn.net/?f=5%3Dlog_%7B2%7D%2832%29)
Step-by-step explanation:
1. By definition, you have if
, then ![x=log_{b}(y)](https://tex.z-dn.net/?f=x%3Dlog_%7Bb%7D%28y%29)
2. Keeping this on mind, you must follow the proccedure shown below:
- You have that:
![2^{5}=32](https://tex.z-dn.net/?f=2%5E%7B5%7D%3D32)
Where:
![x=5\\y=32\\b=2](https://tex.z-dn.net/?f=x%3D5%5C%5Cy%3D32%5C%5Cb%3D2)
- Substitute values into
. Then, you obtain:
Answer:
211 text messages
Step-by-step explanation:
20+(m•0.10)=41.10
41.1-20=21.1÷0.1=211
Answer:
A. g(x) = f(x - 6) + 2
Step-by-step explanation:
Vertex moves from:
(-6,-2) to (0,0)
g(x) = f(x - 6) + 2