Answer:
5. Not sure
6. Its linear since the first difference is constant.
7. Linear since its a line.
8. Slope/Rate of Change/M = Rise over Run = rise/run.
From the left point to the right, the rise is 3 and run is 10.
M = 3/10.
Hope this helped
Step-by-step explanation:
Factor
36-n^2 is difference of 2 perfect squares
a^2-b^2=(a-b)(a+b)
6^2-n^2=(6-n)(6+n)
factor
n^2+16n+60
find what 2 numbers multiply to 60 and add to 16
factors of 60=2,2,3,5
the numbers are 10 and 6
so factored out
(x+6)(x+10)
(x+6)=(6+x)
so the equation is
[(x+6)(x+10)]/[(6+x)(6-x)]=[(6+x)/(6+x)] times (x+10)/((6-x)=1 times (x+10)/(6-x)
the answer is (x+10)/(6-x)
2n² + n + 1
<u>Explanation:</u>
The sequence is 4, 11, 22, 37
Difference between: 7, 11, 15
The first differences are 7, 11, 15, and the second differences are 4.
Since half of 4 is 2, then the first term will be 2n^2.
Subtracting 2n² from the sequence gives 2, 3, 4, 5 which has nth term n + 1.
Therefore the final answer is 2n² + n + 1
