9514 1404 393
Answer:
f^-1(x) = √(6/(9 -x))
Step-by-step explanation:
The inverse function is the solution to ...
x = f(y)
x = 9 -6/y^2
x +6/y^2 = 9 . . . . . add 6/y^2
6/y^2 = 9 -x . . . . . subtract x
6/(9 -x) = y^2 . . . . . multiply by y^2/(9 -x)
y = √(6/(9 -x)) . . . . take the square root
Then the inverse function can be written as ...
f^-1(x) = √(6/(9 -x)) . . . . . . x < 9
Answer:
Step-by-step explanation:
We need to solve the given inequality 
....(1)
Subtract 6 on both sides of the equation as :
Dividing both sides of the equation by 8 such that,
So, the value of x is less than equal to 6. Hence, this is the required solution.
Answer:
The total amount of students in the class would be 30. The total amount of girls would be 12.
Step-by-step explanation:
60% * x = 18
(60/100) * x = 18
6x/10 = 186x = 18 * 10
6x = 180x = 180/6 = 30
The total number of students in the class is 30.
Number of girls in the class = 30 - 18 = 12
So there are 12 girls in the class.
Answer:
hello :
note : 1²+2²+3²+........+n² = n(n+1)(n+2)/6
Step-by-step explanation:
let : S = 1²+2²+3²+......+25²
A = 16²+17²+18²+...+25²
B = 1²+2²+3²+......+15²
S = (1²+2²+3²+....+15²) + (16²+17²+18²+...+25²)
calculate : S for : n = 25
S = 25(26)(27)/6 = 2925
calculate : B for : n = 15
B = 15(16)(17)/6 = 680
so : S = B + A
A = S - B = 2925 - 680 = 2245
Answer:
The third one
Step-by-step explanation:
It can't be the first one since the peak is 4 since it is the highest
It can't be the second one because the data is all different
It could be the third one since their are gaps
And It can't be the fourth one because the range is 7
So it must be the third one
