Answer:
Step-by-step explanation:
midline: y = -2 (take the average of the min and max)
amplitude = 1.5 (distance from min or max to midline. Always a positive number)
period = 4pi
Answer:
Step-by-step explanation:
1a) the y intercept, or 20
b) from 0 weeks to 1 week the difference is 10
c) its y=mx+b m is the slope(difference) and b is the y-int so y = 10x+20
2a) the y int, is the same as the x(number of games played) being zero, so here it is 25
2b) after 3 games it was a loss of 1.50 !!! IMPORTANT !! after THREE weeks, so its 1.5/3=0.5 amount on card per week
2c) (ref 1c) but with that same formula/equation - we get y=0.5x+25
Answer:
C
Step-by-step explanation:
A modified box plot does not include the outliers in the whiskers, instead they are points outside of the whiskers
5,25,33,34,34,37,37,40,42,45,45,46,46,49,73
This data has 2 outliers 5 and 73 so we have 2 choices for a modified box plot D or D
The lowest value outside of the outliers is 25 , so C would be the logical choice
D has the lower end of the whisker too close to the outlier
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:
The vertex is [3,0]
Step-by-step explanation:
y=a(x−h)2+k , where ( h,k ) is the vertex of the parabola. By comparing the two equations, we see that h=3 and k=0 . The vertex is at ( 3,0 ).