Answer:
mean: 7.62
median: 8
mode: 9
Step-by-step explanation:
first you have to put the data set in order:
6,6,6,6,7,7,8,8,9,9,9,9,9
the mode is the most often repeated number in a data set so the mode in this data set would be 9. The median is the middle number in the data set. The middle number in this data set is 8. Lastly, the mean in a data set is all of the numbers in the data set added together and then divided by how many numbers are in the set. The equation for this data set would be 99/13= 7.62
hope this helps!!
The explicit formula for the sequence is 3n -10
<h3>What is an Arithmetic Sequence ?</h3>
An arithmetic sequence is a series of terms which have common difference between its consecutive numbers.
The sequence given is
−7, −4, −1, 2, 5, …
The common difference between each term is d =3
-4-(-7) = 3
-1-(-4) =3
The nth term for a sequence is given by
Here a is the first term = -7
n is the no. of terms = n
d is the common difference = 3
Therefore the equation will be
= -7 +3n -3
= 3n -10
Therefore the explicit formula for the sequence is 3n -10 .
To know more about Arithmetic Sequence
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You would distibute first distribute
6x-10=8
add 10 on both sides
6x=18
Then you divide 6 on both sides to get x by itself so
x=3
Answer: Graph shifts 4 units to the left
Explanation:
I'm assuming you meant to say y = |x+4|
If so, then the graph shifts 4 units to the left. Replacing x with x+4 moves the xy axis 4 units to the right if we held the V shape in place (since each x is now 4 units larger). This gives the illusion the V shape is moving 4 units to the left.
Or you could look at the vertex point to see how it moves. On y = |x|, the vertex is at (0,0). It then moves to (-4,0) when we go to y = |x+4|
Factors of the given expression are 
Given expression is
<h3>What is a factor?</h3>
A factor is a number that divides another number completely.
Let us split the middle term as:
Therefore, factors of the given expression are
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