7, 9, 10, 12, 14, 16, 17
You can find that the range is ten by subtracting the largest number (17) by the smallest number (7) which leaves you with 10. You can find the mean by crossing off a number from each side, one at a time, until you land on the middle which is 12. I hope this helps, let me know if you have any questions!
Answer:
x = 0 (I must assume you had a typo since c is not a variable in this equation!
Step-by-step explanation:
Solve for x:
2 (x - 3) + 9 = 3 (x + 1) + x
2 (x - 3) = 2 x - 6:
2 x - 6 + 9 = 3 (x + 1) + x
Grouping like terms, 2 x - 6 + 9 = 2 x + (-6 + 9):
2 x + (-6 + 9) = 3 (x + 1) + x
9 - 6 = 3:
2 x + 3 = 3 (x + 1) + x
3 (x + 1) = 3 x + 3:
2 x + 3 = 3 x + 3 + x
Grouping like terms, 3 x + x + 3 = (3 x + x) + 3:
2 x + 3 = (3 x + x) + 3
3 x + x = 4 x:
2 x + 3 = 4 x + 3
Subtract 4 x from both sides:
(2 x - 4 x) + 3 = (4 x - 4 x) + 3
2 x - 4 x = -2 x:
-2 x + 3 = (4 x - 4 x) + 3
4 x - 4 x = 0:
3 - 2 x = 3
Subtract 3 from both sides:
(3 - 3) - 2 x = 3 - 3
3 - 3 = 0:
-2 x = 3 - 3
3 - 3 = 0:
-2 x = 0
Divide both sides of -2 x = 0 by -2:
(-2 x)/(-2) = 0/(-2)
(-2)/(-2) = 1:
x = 0/(-2)
0/(-2) = 0:
Answer: x = 0
The highest power is 2.
Explanation:
Because x has a maximum power of 2, there will be 2 answers. if it were 3, there could be up to 3 answers, etc.
While solving this problem, you gather all terms on one side so the equation looks like
x
2
−
81
+
17
=
0
x
2
−
64
=
0
then factor
(
x
−
8
)
(
x
+
8
)
=
0
then, because any number times 0 equals 0, we know that one of the two parts in the parenthesis must be equal to 0, so
x
−
8
=
0
or
x
+
8
=
0
and so the two answers
x
=
8
,
−
8
come to be.
