Ax²+bx+c=0
The formula to solve for x is:

So for 3x²+13x+10=0, plug in the data
x=-13±√13²-4(3)(10) / 2(3)
x=-13±√169-120 / 6
x=-13±√49 /6
x=-13<span>±7 / 6
x=-13+7/6
x=-6/6
x=-1x=-13-7/ 6
x=-20/6 or 3.3repeating
3x</span>²+14x+15=0
x=-14±√14²-4(3)(15) / 2(3)
x=-14±√196-180 /6
x=-14<span>±</span>√16 / 6
x=-14+4/6
x=-10/6 or 1.6repeatingx=-14-4/6
x=-18/6
x=-3
Answer:
2x + 3y = 20
Step-by-step explanation:
Slope of the line is -2/3 . We can use any of the given points to find the equation of the line. Lets use (1, 6)
The general point-slope form of a line is:

Here m is the slope which is -2/3
x1 and y1 are the coordinates of the point. So x1 = 1 and y1 = 6
Using these values, we get:

Answer:
hence the required minimum production level is 12units
Step-by-step explanation:
Given the cost function expressed as c(x) = x^3 - 24x^2 + 30,000x
The average cost function will be c(x)/x
Dividing the cost function through by x
Average cost function = c(x)/x = x³/x - 24x²/x + 30,000x/x
Average cost function = x²-24x + 30,000
A(x) = x²-24x + 30,000
If the average cost is minimized, hence dA/dx = 0
dA/dx = 2x - 24
0 = 2x - 24
-2x = -24
Divide both sides by -2
-2x/-2 = -24/-2
x = 12
For the second deriviative
d²A/dx² = 2 which is greater than zero
Hence a production level that will minimize the average cost per item of making x items is 12
Answer:
15(6.5% * 7000)+7000=y
Step-by-step explanation:
15(6.5% * 7000)+7000=y
im not sure tho