the answer is a || b, or the first option
Answer:
x=-2
Step-by-step explanation:
It is 1.18 to 2 decimal places. (i just typed it into a calculator lol)
Answer: B) FalseThe input x = 5 leads to the two outputs f(x) = 2 and f(x) = 1 (as shown by the green arrows in the attached image). In order to have a function, all of the inputs must lead to exactly one output.
Answer: The total number of ways are 792 ways.
Explanation:
The total number of spots available is 7.
The total number of eligible candidate is 12.
To find the number of combinations we have a combination formula.
![^nC_r=\frac{n!}{r!(n-r)!}](https://tex.z-dn.net/?f=%5EnC_r%3D%5Cfrac%7Bn%21%7D%7Br%21%28n-r%29%21%7D)
Where n is total number of of objects and r is the number of selected objects.
Since we have to select 7 spots from 12 candidates, therefore the total number of ways is calculated as shown below,
![^{12}C_7=\frac{12!}{7!(12-7)!}](https://tex.z-dn.net/?f=%5E%7B12%7DC_7%3D%5Cfrac%7B12%21%7D%7B7%21%2812-7%29%21%7D)
![^{12}C_7=\frac{12\times 11\times 10\times 9\times 8\times7!}{7!5!}](https://tex.z-dn.net/?f=%5E%7B12%7DC_7%3D%5Cfrac%7B12%5Ctimes%2011%5Ctimes%2010%5Ctimes%209%5Ctimes%208%5Ctimes7%21%7D%7B7%215%21%7D)
![^{12}C_7=\frac{12\times 11\times 10\times 9\times 8}{5\times 4\times 3\times 2\times 1}](https://tex.z-dn.net/?f=%5E%7B12%7DC_7%3D%5Cfrac%7B12%5Ctimes%2011%5Ctimes%2010%5Ctimes%209%5Ctimes%208%7D%7B5%5Ctimes%204%5Ctimes%203%5Ctimes%202%5Ctimes%201%7D)
![^{12}C_7=792](https://tex.z-dn.net/?f=%5E%7B12%7DC_7%3D792)
Therefore, the total number of ways are 792 ways.