<span>The formula is area of trapezoid = average base x average height
We're going to do this in reverse.
Area = 80.75
[(7 + 12)/2] = 9.5 (height)
height = 80.75 / 9.5 = 8.5
The height is 8.5, so the answer is D.</span>
Answer:
B
Step-by-step explanation:
The slope of the line that passes through the given points is (4-7)/(-3-1) = 3/4.
Since parallel lines have equivalent slopes, the answer is B.
Answer:
IM and YM
Step-by-step explanation:
not sure about the symbol part, but it's a ray !!
Answer:
the answer for this is ray
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.
