Answer:
(x-y)(x+6)
Step-by-step explanation:
x^2+6x-xy-6y
x*(x+6)-y(x+6)
(x-y)(x+6)
Answer:
see explanation
Step-by-step explanation:
The sum to n terms of an arithmetic sequence is
= 
[ 2a₁ + (n - 1)d ]
where a₁ is the initial value and d the common difference
Given
= [ 10 + (n - 1)3 ]
Then by comparison
2a₁ = 10 ( divide both sides by 2 )
a₁ = 4 ← initial value
and d = 3 ← common difference
Thus
= 
[ 10 + (7 × 3) ]
= 4(10 + 21)
= 4 × 31
= 124
The absolute value equation with the wanted solutions is:
|x| - 1/2 = 0
<h3>
How to find the absolute value equation?</h3>
Here we want to find an absolute value equation such that the solutions are:
x = -1/2 and x = 1/2.
Remember that the absolute value equation always changes the sign, such that the outcome is positive.
This means that:
|1/2| = 1/2
|-1/2| = 1/2
Then a trivial equation with these two solutions is:
|x| - 1/2 = 0
Where the two solutions are x = 1/2 and x = -1/2.
If you want to learn more about absolute value equations:
brainly.com/question/5012769
#SPJ1
Answer:
3x
Step-by-step explanation:
The correct answer will be option C. Mode.
Mode is the most frequently occurring value of the data. From the above line plot we can see that the most frequently occurring value is 3. Even if 10 is removed from the line plot, 3 will still be the most frequently occurring value and will be the mode of the data. Thus removing 10 does not changes the mode of the data at all.
The mean will obviously be changed. The range is difference of maximum and minimum value. 10 was initially the maximum value. If 10 is removed, the maximum value will change and so does the Range of the data. Removing 10 changes the total number of data values, so the position of median also changes which changes the value of Median.
Therefore, the correct answer to this question is option C
