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.
We are given with a triangle and three medians. The intersection of the two medians is also given which is (4,5). What is asked is the intersection between another pair of medians. Since the medians of a triangle intersect at the centroid of a triangle, the intersection is also
<span>B. (4, 5)</span>
Convection in the <u>Mantle</u> helps move pieces of the lithosphere around.
First lets get 3% into decimal form.
3% is 3/100 = 0.03
Now multiply 0.03 by 47000 to get how much extra money she was going to get.
47000 * 0.03 = 1410
Now we just add
47000 + 1410 = 48410 is what she was going to make in 2012
Another way to do this is
(47000)(1+0.03) = 48410
you would use (1+0.03) which tells you she increased in pay.
Answer:
see below
Step-by-step explanation:
The store's profit is the sum of the profit on each player multiplied by the number of players. That is, the profit on standard players is 69s, and that on portable players is 85p. The manager wants the sum of these to be more than 415.
