Answer:
Step-by-step explanation:
Cindy is correcy because on "Step 1:" the multiplication was correctly distributed over the subtraction in paranthesis 5(x-2) = 5*x- 5*2 = 5x-10.
Henry was wrrong because he distributed 5 only over x and not over -2 as well 5(x-2) ≠ 5*x-2
Compute the gradient of
.

Set this equal to the zero vector and solve for the critical points.








The last case has no real solution, so we can ignore it.
Now,


so we have two critical points (0, 0) and (2, 2).
Compute the Hessian matrix (i.e. Jacobian of the gradient).

Check the sign of the determinant of the Hessian at each of the critical points.

which indicates a saddle point at (0, 0);

We also have
, which together indicate a local minimum at (2, 2).
Answer:
15
Step-by-step explanation:
10^2 is 10×10 which is 100
4^2 is 4×4 which is 16
so it simplifies to 100-16×2. By Order Of Operations, parentheses, exponents, multiply and divide, add and subtract 100-16×2 makes 100-32 which is 68
Answer:
Dissolve 190 grams of silver nitrate in 250 mL of water.
Step-by-step explanation:
First, find the moles of AgNO₃ from the volume and concentration.
0.250 L × 4.5 mol/L = 1.125 mol
Next, find the mass of AgNO₃ using the molar mass.
1.125 mol × 170 g/mol = 191.25 g
Rounded to two significant figures, dissolve 190 grams of silver nitrate in 250 mL of water.