So here you want to show all values greater than the parabola shown. The following parabola can be found by looking at the x intercepts. Here you have x=-3 and x=2. So your parabola can be defined as y=(x+3)(x-2) because when you make those two equal to zero you get x=-3 and x=2. And so then you go ahead and do the FOIL method for both of them when you multiply and you get
y=x²-2x+3x-6 which is
y=x²+x-6
Because the parabola is shaded above, it indicates that all the values greater than y are shaded and it’s with a solid line, therefore your answer for this inequality would be choice B. I hope this helps!!
Answer:
A.) x / 3 = 12 ----> x = 12(3) ----><em> </em><em>x = 36</em>
B.) 2x + 3 = 20 ----> 2x = 17 ----> x = 17/2
C.) 4/3x = 10/3 ----> x = 10/3 x 3/4 ----> x = 30/12 = 5/2
D.) -4x = -24 ----> x = -24/-4 ----> x = 6
E.) 2(x-4) = 10 ----> 2x - 8 = 10 ----> 2x = 18 ----> x = 9
F.) -0.5x + 1.1 = -2.9 ----> -0.5x = -4 ---> x = -4 / -0.5 ----> x = 8
Answer:
No
Step-by-step explanation:
17/10 is not proportional to 12/5. Proportional relationships are relationships between two variables where their ratios are equivalent. 17/10 as a ratio is 17:10 and 12/5 as a ratio would be 12:5. A proportional relationship for 12/5 would be 24/10.
Hope this helps :)
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: