Answer:
Each output for the second function
is 3 less than the corresponding output for the first function 
The graph of the function
is the graph of the function
translated down 3 units.
Step-by-step explanation:
<u>Given: </u>
Function 
Function 
<u>Find: </u>How are the functions related? How are their graphs related?
Substitute
into the second function:

This means that each output for the second function
is 3 less than the corresponding output for the first function 
The graph of the function
is the graph of the function
translated down 3 units.
Answer:
Step-by-step explanation:
there is a linear relationship
from the table, x changes by +6, y changes by -3 every time
so that means the slope is constant i.e. its a straight line
slope=(y2-y1)/(x2-x1)=-3/6
= -1/2
take the 1st pt, ( 1, -4 )
(y-(-4)) = slop * (x-1)
y+4 = -1/2*(x-1)
ans is A
Answer:
converges.
Step-by-step explanation:
The convergence analysis of this sequence is done by Ratio Test. That is to say:
, where sequence converges if and only if
.
Let be
, the ratio for the expression is:


Inasmuch
becomes bigger, then
. Hence,
converges.
Answer:

Step-by-step explanation:
To write any decimal as a fraction you divide by 1 and multiply by a number (ranging from 10, 100, 1000 etc.) that will make 0.46 a whole number, this will explain:
Let x = 
10x = 
100x =
this is our perfect fraction, now we simplify later
100x - 10x = 
90x =
this is to confirm both fractions are equal
x is the same as
as
as
but here x =
because a fraction has to have no decimals.
So 0.46 is equal any of these values, as a fraction, on the other hand, it's improperly equal to
here I divided by 2 to bring down the proper fraction. (fraction at its simplest form)

The rule is that any number raised to the power of 0 equals to 1.
So if 2 or 1,000,000 is raised to the power of 0 it equals 1.
But 0 to the power 0 is undefined!
0 to any positive power is 0, so 0 to the power 0 should be 0. But any positive number to the power 0 is 1, so 0 to the power 0 should be 1. We can't have it both ways. Underlying this argument is the same idea as was used in the attempt to define 0 divided by 0.