Answer:
Step-by-step explanation:
1. Relation - a set of ordered pairs
2. Vertical line test - a test used to determine if a graph is a function; states that a vertical line can only go through one point on the graph to be a function
3. Function - a relation in which for any given input value, there is only one output value
4. Output - value generated by a function when an input value is substituted into the function and evaluated
5. Ordered pair - a group of two numbers written in the form (x, y) where the x value represents a horizontal position and the y value represents a vertical position
6. Mapping Diagram - a table or diagram that represents a mathematical relation
7. Input - a value that is substituted in for the variable in a function in order to generate an output value
Answer:
1008
Step-by-step explanation:
geometric sequence:
a=16
r=32/16=2
Sum of GS:
s=a(1-r^n)/(1-r)
S(6)=16(1-2^6)/(1-2)
=1008
10000 digits can be used for 4 digit A.T.M code.
<u>Solution:</u>
Given that A.T.M required 4 digit codes using the digits 0 to 9.
Need to determine how many four digit code can be used.
We are assuming that number starting with 0 are also valid ATM codes that means 0789 , 0089 , 0006 and 0000 are also valid A.T.M codes.
Now we have four places to be filled by 0 to 9 that is 10 numbers
Also need to keep in mind that repetition is allowed in this case means if 9 is selected at thousands place than also it is available for hundreds, ones or tens place .
First digit can be selected in 10 ways that is from 0 to 9.
After selecting first digit, second digit can be selected in 10 ways that is 0 to 9 and same holds true for third and fourth digit.
So number of ways in which four digit number is created = 10 x 10 x 10 x 10 = 10000 ways
Hence 10000 digits can be used for 4 digit A.T.M code.
I think it wants you to multiply the numbers.
329×2=658
658×4=2632
Final Answer=2632
3(2+x)
open the parenthesis
= 6 + 3x
3(2+x) = 6 + 3x
Hence the statement of equality is true
H is the correct option
