Answer: 11
Step-by-step explanation:
C(x) = 200 - 7x + 0.345x^2
Domain is the set of x-values (i.e. units produced) that are feasible. This is all the positive integer values + 0, in case that you only consider that can produce whole units.
Range is the set of possible results for c(x), i.e. possible costs.
You can derive this from the fact that c(x) is a parabole and you can draw it, for which you can find the vertex of the parabola, the roots, the y-intercept, the shape (it open upwards given that the cofficient of x^2 is positive). Also limit the costs to be positive.
You can substitute some values for x to help you, for example:
x y
0 200
1 200 -7 +0.345 = 193.345
2 200 - 14 + .345 (4) = 187.38
3 200 - 21 + .345(9) = 182.105
4 200 - 28 + .345(16) = 177.52
5 200 - 35 + 0.345(25) = 173.625
6 200 - 42 + 0.345(36) = 170.42
10 200 - 70 + 0.345(100) =164.5
11 200 - 77 + 0.345(121) = 164.745
The functions does not have real roots, then the costs never decrease to 0.
The function starts at c(x) = 200, decreases until the vertex, (x =10, c=164.5) and starts to increase.
Then the range goes to 164.5 to infinity, limited to the solutcion for x = positive integers.
35. an open circle means there is no equal sign, and shading to the left means less then...so inequality is : x < 6
36. a closed circle means there is an equal sign, and shading to the left means less then.... x < = 9
in short...a closed circle means there is an equal sign, an open circle means there is not. if it is shaded to the left, it is less then...if it is shaded to the right, it means it is greater then.
37. x > 4
38. x > = 4
39. x < 1
40. x < = 5
41. x > = 5
42. x < 0
E should be Youre answer I’m pretty sure
Distribute and Multiply
14a+35
