How To Find Inverses:
1. First, replace f(x) with y . ...
2. Replace every x with a y and replace every y with an x .
3. Solve the equation from Step 2 for y . ...
4. Replace y with f−1(x) f − 1 ( x ) . ...
5. Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.
Answer:
540
Step-by-step explanation:
1. We assume, that the number 900 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 900 is 100%, so we can write it down as 900=100%.
4. We know, that x is 3.5% of the output value, so we can write it down as x=3.5%.
5. Now we have two simple equations:
1) 900=100%
2) x=3.5%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
900/x=100%/3.5%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 3.5% of 900
900/x=100/3.5
(900/x)*x=(100/3.5)*x - we multiply both sides of the equation by x
900=28.571428571429*x - we divide both sides of the equation by (28.571428571429) to get x
900/28.571428571429=x
31.5=x
x=31.5
now we have:
3.5% of 900=31.5
Answer: 9πcm²
Step-by-step explanation: area of the square= 36cm²
Therefore, the area of one side= √area = √36 = 6cms
Since the circle is touching the sides of the square, the side of the square = the diameter of the circle
Therefore the radius of the circle= side/2 = 3cm
The formula for the ares of the circle is πr²
π*3*3 = 9πcm²
Answer:
It's the first one. (m + n - 1) sqrt p
Step-by-step explanation:
We can combine m sqrt p and n sqrt p, resulting in m + n, and combine - sqrt p to become (m + n - 1)sqrt p