Answer:
A line of cars will be about 9650000 feet
Step-by-step explanation:
Simple:

Hope this Helps!
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Answer:
45
Step-by-step explanation:
follow the table of 9.
9x2=18
9x3=27
9x4=36
<u>9x5=45</u>
I'm partial to solving with generating functions. Let

Multiply both sides of the recurrence by
and sum over all
.

Shift the indices and factor out powers of
as needed so that each series starts at the same index and power of
.

Now we can write each series in terms of the generating function
. Pull out the first few terms so that each series starts at the same index
.

Solve for
:

Splitting into partial fractions gives

which we can write as geometric series,


which tells us

# # #
Just to illustrate another method you could consider, you can write the second recurrence in matrix form as

By substitution, you can show that

or

Then solving the recurrence is a matter of diagonalizing the coefficient matrix, raising to the power of
, then multiplying by the column vector containing the initial values. The solution itself would be the entry in the first row of the resulting matrix.
Answer:
7
Step-by-step explanation:
If x = -1 then we need to plug that into the equation.
5(-1)^2 +2
Then solve for the first part
5(1) + 2
Then multiply.
5 + 2
Then add
7.
Hope this helped!