For security, a credit card number is coded in the following way, so that it can be sent as a message. Subtract each digit from 9. 1. Code the credit card number 3201 2342 3458 0931.
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)?
Answers
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}.
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7 + 2(x – 9) – (x + 2)
Answers
First lets substitute the value of x in the equation;
7 + 2(-3 - 9) - (-3+ 2)
Next, simplify the parenthesis;
7 + 2(-12) - (-1)
7 - 24 + 1 = -16
So your final answer would be; -16
7+2(-3-9)-(-3+2)
PEMDAS
simplify inside parenthases first
-3-9=-12
-3+2=-1
now we have
7+2(-12)-(-1)
multiplictaion
2(-12)=-24
-(-1)=1
now we have
7-24+1
-17+1
-16 is reault
Answers
Answer:
The rectangular parking lot has a width of 76 feet and a length of 40 feet
Step-by-step explanation:
Let's find the length and the width of the rectangular parking lot, this way:
Perimeter = 232 feet
Perimeter = 2 Length + 2 Width
Length = Width - 36 feet
Now, substituting, we have:
2 (Width - 36) + 2 Width = 232
2 Width - 72 + 2 Width = 232
4 Width = 232 + 72
4 Width = 304
Width = 304/4 = 76 feet
Length = 76 - 36 = 40 feet
The rectangular parking lot has a width of 76 feet and a length of 40 feet
Answers
so...
40 * 7 = 280
So that means the bank tell has a total of 280 coins with him
-2x + 7x + 34 = -2(1 - 7x)
Answers
Answer:x=4
Isolate the variable by dividing each side by factors that don't contain the variable.
Answers
Answers
The equation is P = 1.38 - 2.54. And there is a loss of 1.16 million last year.
What is Algebra?
Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
A company makes a profit of $1.38 million. Let P be the profit last year. Then the equation is given as,
P = 1.38 - 2.54
Simplify the equation, then we have
P = 1.38 - 2.54
P = -1.16 million
The equation is P = 1.38 - 2.54. And there is a loss of 1.16 million last year.
More about the Algebra link is given below.
#SPJ2
and last year they made 2.54 million LESS
then p=1.38 million-2.54 million
p= -1.16 million dollars in LOSSES last year