The answers in C are inverses of each other.
In order to find the inverse of any equation, you simply switch the x and f(x) values and then solve for the new f(x). What it will result in is your new inverse function. If we do this for each of the problems above, only one will produce the second equation properly. See the work below for how to do it for C.
f(x) = 11x - 4 ---> Switch the x and f(x)
x = 11f(x) - 4 ----> Add 4 to both sides
x + 4 = 11f(x) ----> Divide both side by 11
= f(x) ----> Now put in the correct order
f(x) =
Since our inverse matches the g(x) function, this means that C is the correct answer.
Answer:
Part A:
1.40x+8.00=C
Part B:
1.40x+8=26
-8 -8
1.40x=18
/1.40 /1.40
x=11 total rides
Step-by-step explanation:
An expression to represent this would be 1.40x+8.00=C (C is total cost).
If you had $26.00 you would first spend $8.00 on the entry leaving you with $18.00. Then you would divide the $18 by $1.40 for each ride to get 12.8... It doesn't make sense to go on a fraction of a ride so you just round down to 11 rides
Answer:
y=-8, r= 2. this is your answer
Ali saves Rs 2576 every month
Step-by-step explanation:
- Step 1: Given Ali's monthly salary = Rs 18400. Calculate the amount spent on food articles
Amount spent on food = 30% of 18400 = 30/100 × 18400 = Rs 5520
- Step 2: Find the remaining amount.
Remaining amount = 18400 - 5520 = Rs 12880
- Step 3: Find amount spend on conveyance and clothes
Amount spent on conveyance and clothes = 40% of 12880
= 40/100 × 12880 = Rs 5152
- Step 4: Find his monthly savings.
Monthly savings = 50% of 5152 = 50/100 × 5152 = Rs 2576
To find the answer, we can first find the age of Rolando in four year:
17+4
=21
We can then proceed to find the current age of Marisa,which is 3/2 of Rolando’s age calculated above:
Let Marisa’s age be y.
3/2 y =21
y = 21 × 2/3
y = 42/3
y = 14
Therefore Marisa is currently 14 years old.
In three years, Marisa would be:
14+3
=17
Therefore, she will be 17 years old.
Hope it helps!