Answer:
1.one solution is the answer
Step-by-step explanation:
If a,b,c are the 3 positive integers
1/a +1/b +1/c > 6/abc
(bc+ac+ab)/abc >6/abc so
(bc+ac+ab)>6
The lowest positive integers that are different are 1,2,3 so the lowest value that (bc+ac+ab) could have is 1•2+2•3+1•3=2+6+3= 11 therefore
1/a +1/b +1/c > 6/abc is true
Given:
The parent function is:

The other function is:

To find:
The statement that describes a key feature of function g.
Solution:
We have,


Using these two functions, we get

Putting
, we get



The y-intercept of the function g at (0,2). So, option A is correct and option B is incorrect.
We know that
as
and it will never intersect the line
. It means the horizontal asymptote of the function g is
Therefore, the correct option is A.
Answer:
C
Step-by-step explanation:
Calculate the values of both r and s, that is
= 7 ( multiply both sides by 2 )
5 + r = 14 ( subtract 5 from both sides )
r = 9
and
= 3 ( multiply both sides by 2 )
3 + s = 6 ( subtract 3 from both sides )
s = 3
Hence
=
= 6 → C
B is dilated by a factor of 5