To find equivalent inequalities you have to work the inequality given.
The first step is transpose on of sides to have an expression in one side and zero in the other side:
x - 6 x + 7
--------- ≥ --------
x + 5 x + 3
=>
x - 6 x + 7
--------- - -------- ≥ 0
x + 5 x + 3
=>
(x - 6) (x + 3) - (x + 7) (x + 5)
--------------------------------------- ≥ 0
(x + 5) (x + 3)
=>
x^2 - 3x - 18 - x^2 - 12x - 35
--------------------------------------- ≥ 0
(x + 5) (x + 3)
15x + 53
- ------------------- ≥ 0
(x + 5) (x + 3)
That is an equivalent inequality. Sure you can arrange it to find many other equivalent inequalities. That is why you should include the list of choices. Anyway from this point it should be pretty straigth to arrange the terms until making the equivalent as per the options.
25 percent is the same as the decimal 0.25.
Multiply 100 by 0.25 to see what 25% of 100 is.
100x0.25=25
Then, to find the price raised by 25%, add 25 to 100.
100+25=125
The final answer is $125.
Hope this helps!
Number of proper subsets = 2^number of elements- 1
= 2^n - 1
No of elements = 4
2^4-1 = 16-1 = 15
Answer: The most appropriate measure of center is the median.
Step-by-step explanation:
- The measure of center generally represented by 1) mean 2) median 3) mode.
- Mean is the best measure to represent the center of the data but when data have outliers it gets affected badly.
- In that case, we use the Median as the best measure of center.
The given data is 12 10,9,68,12 .
As it can be seen that, the data have extreme value 68 ( called outliers).
In this case, we will use the Median as the best measure of center.
So, the most appropriate measure of center is the median.
