2x+7=11-2x (add 2x)
4x+7=11 (minus 7)
4x=4 (divide by 4)
x=1
1, 1, 1, 1, 4, 7, 7
Median (middle) = 1
Mode (most common) = 1
Range (largest# minus smallest#) = 6
5, 10, 10, 15, 15, 15, 20
Median = 15
Mode = 15
Range = 15
Answer:
93
Step-by-step explanation:
First differences increase by 4 each time. The given numbers are a quadratic sequence that can be described by 2n² -2n +9. The 7th term would be 93.
_____
First differences are ...
13-9 = 4, 21-13 = 8, 33-21 = 12, 49-33 = 16, 69-49 = 20
Second differences are ...
8-4 = 4, 12-8 = 4, 16-12 = 4, 20-16 = 4
When second differences are constant, the sequence can be represented by a second-degree polynomial function. The leading coefficient is half the value of the second differences.
We set up this expression that we have to simplify. Although, to make it an equation, we set the expression given equal to the variable y, making this a function too.
y=x-(2x+5)
distribute the negative symbol
y=x-2x-5
combine like terms
y=-x-5
and that is our final answer
Yay I guess I get points now. Lol
