2x^2 + 8x + 8
= 2(x^2 + 4x) + 8
= 2 [ (x + 2)^2 - 4) + 8
axis of symmetry is x = -2 ( because of the (x + 2)^2 )
The final slope would be:
-3/4
EXPLANATION
rise over run.
(Rise is the y value)
From -2 to -17 is -15
From 4 to 24 is 20
Therefore the slops is -15/20
Answer:
21
Step-by-step explanation:
PEDMAS
P - parentheses
E - exponent
D - division
M - multiplication
A - addition
S - subtraction
2 + 3 - 4 + (5 x 4)
P - parentheses.
(5 × 4) = 5 × 4 = 20
2 + 3 - 4 + 20
A - Addition and S - subtraction (left to right)
2 + 3 = 5
5 - 4 + 20
5 - 4 = 1
1 + 20 = 21
Let x be the number of cards in the $27 set, then Nicole has 2 friends that have $9 each. This makes 3 people, therefore each person gets x/3 cards. So each friend would get 1/3 of the cards.
Check the forward differences of the sequence.
If 
, then let 
be the sequence of first-order differences of 
. That is, for n ≥ 1,
so that 
.
Let 
be the sequence of differences of ,
and we see that this is a constant sequence, 
. In other words, is an arithmetic sequence with common difference between terms of 2. That is,
and we can solve for 
in terms of 
:
and so on down to
We solve for 
in the same way.
Then
and so on down to
