Step-by-step explanation:
f(x) = y= -x²-x+6
When y is max, f'(x) = 0
f'(x) = -2x-1
Equating to 0,
-2x-1= 0
x= -1/2
Put the value of x in f(x)
y = -(-1/2)² -(-1/2) +6
= -1/4+1/2+6
= 6+1/2
y= 13/2
Solve the inequality c - 12 > -16.

Plot the solution on the number line.
We need to know f(x) and g(x) to answer
Let's say, the first number is "n"
well, the consecutive number of "n" is "n + 1"and the consecutive number of "n+1" is "n + 1" +1 or n + 2
so, the numbers are (n), (n+1) and (n+2), whatever "n" is
now, the sum of their squares is 116

expand the binomials by FOIL or binomial theorem, and then simplify