Answer: 
Step-by-step explanation:
Given
The unit cost is given by
find the derivative of the unit cost and equate it to zero to obtain the minimum value
Substitute 140 for 
in the cost function, we get
![C(140)=0.6[140]^2-168(140)+30,389\\C(140)=11,760-23,520+30,389\\C(140)=\$18,629](https://tex.z-dn.net/?f=C%28140%29%3D0.6%5B140%5D%5E2-168%28140%29%2B30%2C389%5C%5CC%28140%29%3D11%2C760-23%2C520%2B30%2C389%5C%5CC%28140%29%3D%5C%2418%2C629)
Ok! So, given a quadratic function<span>, </span>y<span> = ax</span>2<span> + bx + c, when "a" is positive, the </span>parabola <span>opens upward and the vertex is the minimum value. On the other hand, if "a" is negative, the graph opens downward and the vertex is the maximum value. Now, let's refer back to our original graph, </span>y<span> = </span><span>x2</span><span>, where "a" is 1.
Hope this helps.</span>
Let's construct an equation for Canton's population increase as 7220+80n and Holly Spring's population increase with 3200+120n, where n is the number of years. We have to set these equations to each other in order to find when the population of these two places are equal. 3200+120n=7220+80n and n=100.5. After 100 and half years
Answer:
Step-by-step explanation:
Note that the base angle of an isosceles triangle is equal hence;
3x+2 = 5x-30
3x - 5x = -30-2
-2x = -32
x = -32/-2
x = 16
Hence one of the base angle = 3(16)+2 = 50degrees
The sum of angle in the triangle is 180, hence
50+50+y = 180
100 + y = 180
y = 80 degrees
Hence the third angle is 80 degrees
The second one is the correct answer
