Answer:
3m² + 2mn + 7n²
Step-by-step explanation:
Subtract m² + 3mn - n² from 4m² + 5mn + 6n², that is
4m² + 5mn + 6n² - (m² + 3mn - n²)
= 4m² + 5mn + 6n² - m² - 3mn + n² ← collect like terms
= 3m² + 2mn + 7n²
So sorry idek the answer i need points
Answer:
It increases
Step-by-step explanation:
if b increases and the only other part of the equation is a constant it should increase as well. for example (the first value is b and the second is b-1) : (1,0) (2,1) (3,2) (4,3) (5,4)...
Answer:
The objective function in terms of one number, x is
S(x) = 4x + (12/x)
The values of x and y that minimum the sum are √3 and 4√3 respectively.
Step-by-step explanation:
Two positive numbers, x and y
x × y = 12
xy = 12
S(x,y) = 4x + y
We plan to minimize the sum subject to the constraint (xy = 12)
We can make y the subject of formula in the constraint equation
y = (12/x)
Substituting into the objective function,
S(x,y) = 4x + y
S(x) = 4x + (12/x)
We can then find the minimum.
At minimum point, (dS/dx) = 0 and (d²S/dx²) > 0
(dS/dx) = 4 - (12/x²) = 0
4 - (12/x²) = 0
(12/x²) = 4
4x² = 12
x = √3
y = 12/√3 = 4√3
To just check if this point is truly a minimum
(d²S/dx²) = (24/x³) = (8/√3) > 0 (minimum point)
Answer:
0.065
Step-by-step explanation:
64.9 / 1000 = 0.0649 --> 0.065