Answer:3. B 4. B
Step-by-step explanation:3. Supplementary equals 180, 113 + 67 = 180
Answer: I’m not sure what compliment is but she would have to pick 7 to guarantee that she gets at least 1 blue lollipop
Step-by-step explanation:
There are 9 in total. 6 not blue. There are 3 blue. Assuming she gets terrible luck, she would have to take all of the non blue first which is 6. Then she would take another one to make sure she gets at least 1 blue lollipop
Answer: Yes; this is polynomial.
Specifically, it is a "polynomial EXPRESSION" ; but not a "polynomial equation" ; because it is not an "equation.
There are more than one variables/variable expressions, so it is a polynomial.
Answer:
The pair which are inverse of each other are:
Option: C
Step-by-step explanation:
Two functions f(x) and g(x) are said to be inverse of each other if:
fog(x)=gof(x)=x
i.e. the composition of two functions give identity no matter what the order is.
A)
and 
Now we calculate fog(x):
Hence, option: A is incorrect.
B)
Now we calculate fog(x):
Hence, option: B is incorrect.
D)
![f(x)=9+\sqrt[3]{x}\ and\ g(x)=9-x^3](https://tex.z-dn.net/?f=f%28x%29%3D9%2B%5Csqrt%5B3%5D%7Bx%7D%5C%20and%5C%20g%28x%29%3D9-x%5E3)
Now we calculate fog(x):
![fog(x)=9+\sqrt[3]{9-x^3}\neq x](https://tex.z-dn.net/?f=fog%28x%29%3D9%2B%5Csqrt%5B3%5D%7B9-x%5E3%7D%5Cneq%20x)
Hence, option: D is incorrect.
C)
Now we calculate fog(x):
Similarly,
Hence, option: C is the correct option.
Answer:
About $3, 333.30
Step-by-step explanation:
If Karen makes $40,000 a year, that means she makes about $3,333.30 a month (12 months in a year, divide 40,000 by 12 to get the answer) this means she can budget about $3,333.30 a month.
(I rounded to make the answer more realistic the full number is 3333.3333333333333333333333333333)
