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Norma-Jean [14]
4 years ago
10

What is 4.3(v+2.5)=8.11+4v

Mathematics
1 answer:
True [87]4 years ago
6 0

Answer:

-8.8

Step-by-step explanation:

We begin by simplifying the parenthesis through multiplication. Parenthesis is a structure which signals multiplication happening.

4.3(v+2.5)=8.11+4v\\4.3v+10.75=8.11+4v

We now begin combining like terms across the equal sign by performing the inverse or doing the opposite. Move first the 8.11 by subtracting it from both sides.

4.3v+10.75-8.11=8.11-8.11+4v\\4.3v+2.64=4v

Now, move 4.3v across by subtracting it from both sides.

4.3v-4.3v+2.64=4v-4.3v

2.64=-0.3v

Finally, we divide both sides by the coefficient of v.

\frac{2.64}{-0.3} =\frac{-0.3v}{-0.3} \\-8.8=v

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PLZZZ HELP
Nezavi [6.7K]
Multiplicative identity, which states that anything multiplied by 1 is itself.
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The daily production cost, C, for x units is modeled by the equation:<br> C = 200 – 7x + 0.345x2
lina2011 [118]
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.
8 0
3 years ago
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