Okay so first let’s set one of the two equations equation to one of the two variables
I’m going to pick the second equation and y
So
x+y=10
y=10-x
Now let’s bring the other equation in and substitute y for 10-x
2x+3y=45
2x+3(10-x)=45
Now solve for x
2x+3(10-x)=45
2x+30-3x=45
-x+30=45
-x=15
x=-15
Okay so now we have x = -15 now let’s find y by using the original equation I moved around and pigging in y like
y=10-x
Plug in x
y=10-(-15)
y=10+15
y=25
So now that I look back at the program you only needed x but her is x and y I hope I helped
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.
Answer:
B, an edge, because a vertex is the angular point, and an intersection is the point in where two lines meet.
Step-by-step explanation:
Answer :
m = 3
Point = (4,-1)
x1 = 4
y1 = -1
Formula =
y - y1 = m (x-x1)
y - (-1) = 3 (x -4)
y + 1 = 3x -12
y - 3x + 1 + 12 = 0
y - 3x + 13 = 0
The line = y - 3x + 13 = 0 or -3x + y + 13 = 0
I'm sorry if I'm wrong.
Cmiiw
Good luck
Love from Indonesia
First distribute the negative to the second equation which would give you:
25x^2 - 14xy + 4 -7x^2 + 9y + 2xy + 7
Since addition is commutative. you can now just add like terms.
18x^2 - 12xy + 9y + 11
