An individual bar is 1.375
Answer:
144 minutes
Step-by-step explanation:
The equation will be 14 + 0.25x = 50
50 - 14 = 36
0.25x = 36
36/0.25 = 144 minutes
Answer:
The recursive formula of the arithmetic sequence is
![\left\{ \begin{array}{ll} c(1)=-16 & \\ c(n)=c(n-1)-17 \end{array} \right.](https://tex.z-dn.net/?f=%5Cleft%5C%7B%20%20%20%20%20%20%20%20%5Cbegin%7Barray%7D%7Bll%7D%20%20%20%20%20%20%20%20%20%20%20%20c%281%29%3D-16%20%26%20%20%5C%5C%20%20%20%20%20%20%20%20%20%20%20%20c%28n%29%3Dc%28n-1%29-17%20%20%20%20%20%20%20%20%5Cend%7Barray%7D%20%20%20%20%5Cright.)
Step-by-step explanation:
A recursive formula designates the starting term,
, and the nth term of the sequence,
, as an expression containing the previous term (the term before it),
.
Recursive formulas give us two pieces of information:
- The first term of the sequence
- The pattern rule to get any term from the term that comes before it
From the arithmetic sequence
, the first term is -16 and the rule to get any term from its previous term is add -17.
Therefore, the recursive formula should look as follows:
![\left\{ \begin{array}{ll} c(1)=-16 & \\ c(n)=c(n-1)-17 \end{array} \right.](https://tex.z-dn.net/?f=%5Cleft%5C%7B%20%20%20%20%20%20%20%20%5Cbegin%7Barray%7D%7Bll%7D%20%20%20%20%20%20%20%20%20%20%20%20c%281%29%3D-16%20%26%20%20%5C%5C%20%20%20%20%20%20%20%20%20%20%20%20c%28n%29%3Dc%28n-1%29-17%20%20%20%20%20%20%20%20%5Cend%7Barray%7D%20%20%20%20%5Cright.)
Answer: С. 3x +2
Step-by-step explanation:
We have the following trinomial, which is also known as perfect square trinomial, because the first and the third term are squares:
(1)
First term:
Third term:
If we factorize this expression we have:
![(3x+2)(3x+2)=9x^{2}+6x+6x+4=9x^{2}+12x+4](https://tex.z-dn.net/?f=%283x%2B2%29%283x%2B2%29%3D9x%5E%7B2%7D%2B6x%2B6x%2B4%3D9x%5E%7B2%7D%2B12x%2B4)
As we can see, the trinomial (1) has two factors:
and ![(3x+2)](https://tex.z-dn.net/?f=%283x%2B2%29)
Therefore, the correct option is C.
Answer:
The length of each flag is 5.5 ft
Step-by-step explanation:
Correct me if Im wrong but im most def right :)