If you can divide 81 by 4 and end up with a remainder of 1, then yes, 81 is a part of your sequence.
To justify that, it helps to think about ways we can represent numbers in terms of quotients and remainders. For example, if we take 10/3, we’ll obtain the quotient 3 with a remainder of 1, so another way of writing 10 would be 3(3)+1. If we replace that second three with any integer n, 3n+1 represents *every number* that leaves us with a remainder of 1 when we divide it by 3.
By the same logic, 4n+1 represents every number that leaves a remainder of 1 when we divide it by 4. 81 indeed meets this requirement, since can be written as 4(20)+1, so it would be a part of the sequence.
Answer:
a=-1 goes to the third graph (because it's negative so obviously it's a sad smile)
a=1 goes to the first graph
a=0.25 goes to the second graph
Step-by-step explanation:
The smaller the value of a, the wider the the parabola would be. If the value of a is large then the parabola becomes smol
Answer:
rate is 8 miles per hour and he travels 40 miles per 5 hours
Step-by-step explanation:
The story problem told that i should assume that 1 mile is 1.6 km
so 5km/hr is equal to 8m/h
i got it by multiplying 5 by 1.6 so i can change from the unit km to mile
so about the miles per 5 hours just multiply the 8 mph by 5 so it is 40
40miles per 5hrs
hope i made it clear
Answer:
B) The mean increases by $2.42
Btw. My answer was $2.40… B was the closest
