Answer: f^{-1}(x) = 3-x/3
Step-by-step explanation: Let y = f(x) and rearrange making x the subject, that is...
1. y = - 3x + 3 ( add 3x to both sides )
2. 3x + y = 3 ( subtract y from both sides )
3. 3x = 3 - y ( divide both sides by 3 )
4. x = 3-y/3
Change x back into terms of y
f^{-1}(x) = 3-x/3
1st :The angle of depression 30° = the angle of elevation (from the truck to the height of the building.
2nd :
cos 30° = (adjacent side)/(hypotenuse)
cos 30° = x/100, but cos 30°= (√3)/2
(√3)/2 = x/100 and x = (100√3)/2
and x = (50.√3) = 86.60 m
Answer:
b) y=1/3x+5
Step-by-step explanation:
Without the actual scatter plot we would need to deduce from the options provided which would closely model the data. Since the number of goals scored in a game can only be 0 or positives then we can remove options a) and c) since a value of x = 0 would output a negative value to y. That leaves us with options b) and d). Since we know that soccer games vary in the number of goals then we can remove option d) since it represents a steady trend line of 4. Finally, we are left with option b) as the answer.
