Count the number of positive integers less than 100 that do not contain any perfect square factors greater than 1.
Possible perfect squares are the squares of integers 2-9.
In fact, only squares of primes need be considered, since for example, 6^2=36 actually contains factors 2^2 and 3^2.
Tabulate the number (in [ ])of integers containing factors of
2^2=4: 4,8,12,16,...96 [24]
3^2=9: 9,18,....99 [11]
5^2=25: 25,50,75 [3]
7^2=49: 49,98 [2]
So the total number of integers from 1 to 99
N=24+11+3+2=40
=>
Number of positive square-free integers below 100 = 99-40 = 59
Y=(x-3)^2-8----------------------------------
Answer:
I'm not sure but try -7,-1
Answer:
A
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [a, b ] is

Here [ a, b ] = [ 2, 6 ], thus
f(b) = f(6) = -
+ 70 = - 64 + 70 = 6
f(a) = f(2) = - 2² + 70 = - 4 + 70 = 66
average rate of change =
=
= - 15 → A
Answer:
xopoorxo
Step-by-step explanation:
12