Answer:
a) P(n) is true for all 'n' in the set ; { 0,2,4,6,8 ….. }
b) P(n) is true for all 'n' in the set ; { 0,1,2,3,4,5 ............ }
Step-by-step explanation:
a) As P(0) is true
we will assume that
- P(2) is true
- P(4) is true
- P(6) is true
this simply means that ; P(n) is true for all 'n' in the set
{ 0,2,4,6,8 ….. }
b) since P(0) and P(1) are true
we will assume that
also P(1) and P(2) are true
we will assume that
Also from the previous answers it can be seen that P(2) + P(3) is true
we will assume
This simply means that P(n) is true for all 'n' in the set
{ 0,1,2,3,4,5 ............ }
Answer: Sally walked 3 minutes faster per mile
Hope it helped!
The domain is the numbers you can use for x
so the domain is 4
the range is the possible y values we get from that domain
we get all real numbers because it goes up and down infinitey
domain is 4
range is all real numbers
Answer:
5 cheeseburgers would be 12.50
Step-by-step explanation:
5 / 2 is 2.50 , 2.50 for one cheeseburger times 5 is 12.50
This is a strange question, and f(x) may not even exist. Why do I say that? Well..
[1] We know that f(a+b) = f(a) + f(b). Therefore, f(0+0) = f(0) + f(0). In other words, f(0) = f(0) + f(0). Subtracting, we see, f(0) - f(0) = f(0) or 0 = f(0).
[2] So, what's the problem? We found the answer, f(0) = 0, right? Maybe, but the second rule says that f(x) is always positive. However, f(0) = 0 is not positive!
Since there is a contradiction, we must either conclude that the single value f(0) does not exist, or that the entire function f(x) does not exist.
To fix this, we could instead say that "f(x) is always nonnegative" and then we would be safe.
