Answer:
The second equation is correct.
y=2.25x + 4
Step-by-step explanation:
We can systematically eliminate the others.
For equation 3 and 4, 6.5*2 and 12*x is already bigger than 8 of the first set of numbers.
For equation 1, 2*x+8.5 is also bigger than 8 from the first set.
Plugging in the values to equation 2, we always get the correct cost.
Answer: OPTION A.
Step-by-step explanation:
You can observe that in the figure CDEF the vertices are:

And in the figure C'D'E'F' the vertices are:

For this case, you can divide any coordinate of any vertex of the figure C'D'E'F' by any coordinate of any vertex of the figure CDEF:
For C'(-8,-4) and C(-2,-1):

Let's choose another vertex. For E'(8,8) and E(2,2):

You can observe that the coordinates of C' are obtained by multiplying each coordinate of C by 4 and the the coordinates of E' are also obtained by multiplying each coordinate of E by 4.
Therefore, the rule that yields the dilation of the figure CDEF centered at the origin is:
→
Answer:
The statement is true for every n between 0 and 77 and it is false for 
Step-by-step explanation:
First, observe that, for n=0 and n=1 the statement is true:
For n=0: 
For n=1: 
From this point we will assume that 
As we can see,
and
. Then,

Now, we will use the formula for the sum of the first 4th powers:

Therefore:

and, because
,

Observe that, because
and is an integer,

In concusion, the statement is true if and only if n is a non negative integer such that 
So, 78 is the smallest value of n that does not satisfy the inequality.
Note: If you compute
for 77 and 78 you will obtain:
The 8th term is 33 and I don't think any of the options are there