Answer:
The common denominator 
and 
Step-by-step explanation:
To find the common denominator:
- We have to find the LCD of the denominators.
- Then multiply the fraction with the digit obtained from dividing the LCD with the denominator of the fraction concerned.
Here is the work:
LCD of 
is 
.
So we will divide 
with 
and then with 
the quotient will further be put into the fraction.
So
will make the fraction 
as 
.
Similarly
will make the fraction 
as 
.
Hence with common denominators the fraction can be written as 
.
Answer:
B
Step-by-step explanation:
26 divides by 2 = 13
13+2=14
Answer:
(assuming all members of the gang get equal percentages)
For a gang of 8: 12.5% (100/8)
If 2 are killed: 16.67% (100/6), so percentage increases by roughly 4.2% (16.67-12.5)
Percent that belongs to 3: 12.5%*3=37.5%
Percent that belongs to 3 if 2 are killed: 16.67%*3=50.0%
Each robber's share still increases by 4.2% (50%-37.5%=12.5%, 12.5%/3=4.2%)
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Step-by-step explanation:
9514 1404 393
Answer:
f⁻¹(x) = √((3 -x)/3)
Step-by-step explanation:
A function gives you a y-value for each value of x.
y = f(x)
__
An inverse function tells you the x value that produced a given y-value. It is the solution to the equation ...
x = f(y)
So, we want to find y for ...
x = -3y² +3
x -3 = -3y² . . . . . . . . . . . subtract 3
(x -3)/-3 = y² . . . . . . . . . divide by -3
√((x -3)/-3) = y . . . . . . . take the square root.
The requirement for x > 0 in the original function means y > 0 for the inverse function. That is why we use the positive square root.
This can be simplified a little bit to remove the minus sign from the denominator.
f⁻¹(x) = √((3 -x)/3)
__
The graph plots the function and its inverse. They are reflections of each other over the line y=x. (That's one way you can tell you have the correct inverse function.)
