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Luda [366]
3 years ago
12

Find the midpoint of the line segment with the given endpoints. (-1,0), (-3,-4)

Mathematics
2 answers:
larisa86 [58]3 years ago
5 0
No can’t u just search it up I feel like you’ll get the answer to this question in to time
Gre4nikov [31]3 years ago
5 0

Answer:

(-2,-2)

Step by step:

(-1,0) (-3,-4)

(xa,ya)(xa,yb)

\frac{ x ^{a} +  {x}^{b}  }{2} . \frac{y ^{a}  + y^{b} }{2} \\  =  \frac{ - 1 +  - 3}{2} . \frac{0 +  - 4}{2} \\  =  \frac{ - 4}{2}  \frac{ - 4}{2}

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Matthew wants to buy a new pair of jeans. If the jeans were originally $65.00, but are on sale with a 10% discount, how much wil
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4 0
3 years ago
the daily production cost, c, for x units is modeled by the equation: c = 200 – 7x 0.345x2 explain how to find the domain and ra
jenyasd209 [6]
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.

6 0
4 years ago
Read 2 more answers
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