2. A coded credit card number is 2341 0135 7923 0133. What is the original credit card number?
3. Find f(x) if x represents a single input digit. What is the domain
of f(x)?
4. Find f-1(x). What is the domain of f-1(x)?
Answer:
1. 6798 7657 6541 9068.
2. 7658 9864 2076 9866.
3. and domain of f(x) is {0,1,2,3,4,5,6,7,8,9}.
4. and domain of f⁻¹(x) is {0,1,2,3,4,5,6,7,8,9}.
We are given that,
The coding method for the card number is 'Subtract each digit from 9'.
So, we have,
Part 1: The number given is 3201 2342 3458 0931.
So, after subtracting each digit from 9, we have,
The coded number is 6798 7657 6541 9068.
Part 2: The coded number given is 2341 0135 7923 0133.
To find the original number, we will subtract the digits from 9.
The original number is 7658 9864 2076 9866.
Part 3: We have f(x), where x represents the single input digit.
That is, 'x' can have values from {0,1,2,3,4,5,6,7,8,9}.
As, the coded output is the number subtracted from 9.
We get, the function is.
So, the domain of f(x) is {0,1,2,3,4,5,6,7,8,9}.
Part 4: We need to find the inverse function.
So, we have, i.e. .
Thus, the inverse function is
Since, the range of f(x) is the domain of f⁻¹(x).
The domain of f⁻¹(x) is {0,1,2,3,4,5,6,7,8,9}.
Answer: Original Price=$450
Step-by-step explanation:
Price post discount=$450
Discount=10%
Let the original price be x
Given x - 10% of x=450
=450
=450
x=
On solving
x=500$
The original price =500$
The original price before the 10% discount was about $500.
To know the original price before the discount, one can use the following formula:
Original Price = Discounted Price / (1 - Discount Percentage)
So, the discounted price is $450, and the discount percentage is 10%.
To calculate the original price:
Original Price = $450 / (1 - 0.10)
= $450 / 0.90
- $500
Therefore, the original price before the 10% discount was about $500.
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Answer: 54
Step-by-step explanation:
3x3=9
9x3=27
27x2=54
how was you able to get the answer plz explain
Each segment on the grid represents 1 unit.
Answer:
The triangle is shown in the below diagram.
Step-by-step explanation:
It is given that each segment on the grid represents 1 unit and point A is a vertex of a right angle triangle.
The height of triangle is 4 units, and the base is 5 units.
Let the coordinates of A be (x,y).
There are many possibilities to draw a right angled triangle having height 4, base 5 and vertex at A.
The height of the triangle is 4 units, so the coordinate of another vertex B is (x,y+4).
The base of the triangle is 5 units, so the coordinate of another vertex C is (x+5,y).
The triangle is shown in the below diagram.