The answer is A. x=4.
Start off by distributing the parentheses into the equation.
4x+2(x+6)=36
4x+2x+12=26
Combine like terms.
4x+2x=6x
6x+12=36
Now solve the equation as normal. Begin by subtracting 12 from both sides to isolate the variable.
6x+12=36
-12 -12
---------------
6x = 24
Divide 6 on both sides to find x.
6x=24
---- -----
6 6
x=4
The solution to the equation is 4.
The critical points are at x = 1 and x = 4 giving you the intervals (-inf, 1), (1, 4) and (4, inf).
By substituting x values in these 3 intervals, you can see that f'(x) is positive in the first and third intervals and negative in the second interval.
This means that f(x) is increasing in the first and third intervals and decreasing in the second interval.
The answer is D.
To find the amount of 7 fluid ounce servings in this container, divide 64 by 7 to get the answer of about 9.14 (rounded to the nearest one hundredth). So 9 full servings and an additional .142857... ounces as well.
Hope this helps!
The answer is 4.51.............
