Answer:
f¯¹(x) = 23/ (6x + 3)
Step-by-step explanation:
f(x) = (23 – 3x)/6x
The inverse, f¯¹, for the above function can be obtained as follow:
f(x) = (23 – 3x)/6x
Let y be equal to f(x)
Therefore, f(x) = (23 – 3x)/6x will be written as:
y = (23 – 3x)/6x
Next, interchange x and y.
This is illustrated below:
y = (23 – 3x)/6x
x = (23 – 3y)/6y
Next, make y the subject of the above expression. This is illustrated below:
x = (23 – 3y)/6y
Cross multiply
6xy = 23 – 3y
Collect like terms
6xy + 3y = 23
Factorise
y(6x + 3) = 23
Divide both side by (6x + 3)
y = 23/ (6x + 3)
Finally, replace y with f¯¹(x)
y = 23/ (6x + 3)
f¯¹(x) = 23/ (6x + 3)
Therefore, the inverse, f¯¹, for the function f(x) = (23 – 3x)/6x is
f¯¹(x) = 23/ (6x + 3)
Given :Enzo wins 5 tickets from every game, and Beatriz wins 11 tickets from every game.We need to find the minimum number of games that Enzo could have played to win the same number of tickets.
The minimum number of games that Enzo could have played to win the same number of tickets Will be the least common multiple of 11 and 5.
The factors of 11 and 5 are
11=11x1
5= 5x1
Least common multiply = 11x5=5.
The minimum number of games that Enzo could have played to win the same number of tickets is 55.
We can factor a polynomial by finding its roots. In particular, a quadratic equation has (at most) two roots 
, which would allow us to write the polynomial as
To find the solutions, we can use the quadratic formula
So, the two solutions are
And so we can factor the polynomial as follows:
Answer:
35/8 reduced is 4 3/8
Step-by-step explanation:
just subtract 7 7/8 and 3 1/2 to get 35/8 and reduce it to 4 3/8
