A video rental store charges $4 per day to rent a movie and $3 per day to rent a video game. During one summer, Tony paid a tota
1 answer:
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Answer:
The factor form is
Step-by-step explanation:
When it is required to factor the expression given in the problem, we have to first find a common term or terms, which will be found by either grouping the like terms or the splitting of the terms.
Now the expression that is given here is:
Now, here we will take:
Thus we will get:
Now we will do the middle term split as follows:
Substituting back , we will have:
Hence, the required factor form of the given expression will be:
Answer:
1) 1 element
2) 13 elements
3) 22 elements
4) 40 elements
Step-by-step explanation:
1) Only one element will have no tails: the event that all the coins are heads.
2) 13 elements will have exactly one tile. Basically you have one element in each position that you can put a tail in.
3) There are elements that have exactly 2 tails. From those elements we have to remove the only element that starts and ends with a tail and in the middle it has heads only and the elements that starts and ends with a head and in the 11 remaining coins there are exactly 2 tails. For the last case, there are
possibilities, thus, the total amount of elements with one tile in the border and another one in the middle is 78-55-1 = 22
4) We can have:
- A pair at the start/end and another tail in the middle (this includes a triple at the start/end)
- One tail at the start/end and a pair in the middle (with heads next to the tail at the start/end)
For the first possibility there are 2 * 11 = 22 possibilities (first decide if the pair starts or ends and then select the remaining tail)
For the second possibility, we have 2*9 = 18 possibilities (first, select if there is a tail at the end or at the start, then put a head next to it and on the other extreme, for the remaining 10 coins, there are 9 possibilities to select 2 cosecutive ones to be tails).
This gives us a total of 18+22 = 40 possibilities.
Answer:
x = 6
Step-by-step explanation:
The equation to solve is:
We can convert it to exponential form and find the answer. Below we show log to exponential form formula:
Now, we convert the log to exponential:
We now solve for "x",
We know the base number of log cannot be negative, so we disregard x = -6 and take x = 6 as our answer