If you multiply (x - k)(x + k), you get $x^{2} + k*x - k*x - k^{2}$ which is equal to $x^{2} -k^{2}$ . Now you can see that $\frac{1}{3} *x^{2} - 2$ must be equal to $\frac{1}{3}*(x^{2} - k^{2})$ which is equal to $\frac{1}{3}*x^{2} - \frac{1}{3}*k^{2}$ . Now we just need to solve $2 = \frac{1}{3}*k^{2}$ . The final answer is $k = +- \sqrt{6}$ .

6 0

3 years ago

Please help with number 11 ?

AfilCa [17]

The graphical solution procedure generally means you graph the constraint inequalities to identify the feasible solution region, then locate the objective function curve so as to maximize its value. When the objective function is a linear function, maximizing it generally means locating it at the vertex of the feasible region that makes it farthest from the origin.

The solution is

... (A, B) = (100, 50)

6 0

3 years ago