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.
First you would want to find the length of one eraser and then multiply that by 2. To find the length of one you take the total length or all of them and divide it my the total number of them. 29 1/4 is 117/4.
(117/4) / 13 Dividing by something is the same as multiplying by the opposite.
117/4 × 1/13 = 117/52
Now you multiply by 2.
117/52 * 2/1 Cross simplify
117/26 * 1/1
117/26 inches or 4 1/2 inches.
Answer:
What?
Step-by-step explanation:
<h2>
Length = 3m</h2><h2>
Width = 5m</h2><h3>
State where x is accordingly.</h3><h2>
</h2>
The length of a rectangle is seven less than twice the length of its width.
L = 2W - 7
A = W * L
A = 15
15 = W * L
Substitute the L in terms of W
15 = W * (2W - 7)
15 = 2W^2 - 7W
2W^2 - 7W - 15 = 0
Factorise:
(2W + 3) (W - 5) = 0
Solve for W:
2W + 3 = 0
2W = 0 - 3
2W = 3
W = 3/2
W = 1.5
W - 5 = 0
W = 0 + 5
W = 5
Use the original equation to find L:
L = 2W - 7
L = 2(5) - 7
L = 10 - 7
L = 3
L * W = 15
3 * 5 = 15
Answer:
Step-by-step explanation:
slope are hard tbh
