Answer:
(x-6)(x-6) or (x-6)^2
Step-by-step explanation:
x^2-12x+36=(x-6)(x-6)
Just find two numbers that when they multiply, you get the third term,
which is 36 in this case. And when they add up, you get the second term,
which is -12 in this case. You can also check the answer by multiplying.
(x-6)(x-6)=x^2-6x-6x+36=x^2-12x+36
The objective function is simply a function that is meant to be maximized. Because this function is multivariable, we know that with the applied constraints, the value that maximizes this function must be on the boundary of the domain described by these constraints. If you view the attached image, the grey section highlighted section is the area on the domain of the function which meets all defined constraints. (It is all of the inequalities plotted over one another). Your job would thus be to determine which value on the boundary maximizes the value of the objective function. In this case, since any contribution from y reduces the value of the objective function, you will want to make this value as low as possible, and make x as high as possible. Within the boundaries of the constraints, this thus maximizes the function at x = 5, y = 0.
Answer:
4/5
Step-by-step explanation:
8/15 = 8/15
3/5 = 9/15
2/3 = 10/15
11/15 = 11/15
We see that the pattern is that the terms increase by 1/15 as they move up.
Thus, the next term in the sequence is 12/15, which can be simplified to 4/5.
Let me know if this helps!
Answer:
24.5
Step-by-step explanation:
Since 180 is double 90 divide 45 by 2 and you'll get 24.5