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Licemer1 [7]
3 years ago
7

4( x+6)=-4(2x-9)+3x​

Mathematics
1 answer:
kupik [55]3 years ago
4 0

Answer:

x=1.33 repeating or 1 1/3

Step-by-step explanation:

You take 4 and distribute to everything in the parentheses.

You also do the same for the -4.

After you distribute, you should get: 4x+24=-8x+36+3x

Then you combine like terms (the two x's on the right side of the equation.

You should then get: 4x+24=-5x+36

Next, you subtract 24 from the positive 24, to cancel it out, and the 36 to get 12.

Then, add 5x to the negative 5x, to cancel it out, and to the 4x to get 9x.

Finally, you divide 12 by 9 to get 1.33 repeating or 1 1/3.

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Parallelogram JKLM has vertices J(-1, 6), K(0, 9), L(6, −3), and M(3, −3). What is the coordinates of the image if the parallelo
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Answer: (\dfrac13,-2),\ (0,-3),\ (-2,1),\ (-1,1) .

Step-by-step explanation:

Transformation rule for dilation:

(x,y)\to(kx,ky) , where k = scale factor

Given : Scale factor = -\dfrac13

Parallelogram JKLM has vertices J(-1, 6), K(0, 9), L(6, −3), and M(3, −3)

Vertices after dilation:

(-1,6)\to(-1\times\dfrac{-1}{3},6\times\dfrac{-1}{3})=(\dfrac13,-2)

(0,9)\times(0\times-\dfrac13,9\times-\dfrac13)=(0,-3)

(6,-3)\to(6\times-\dfrac13,\ -3\times-\dfrac13)=(-2,1)

(3,-3)\to (3\times-\dfrac13,\ -3\times-\dfrac13)=(-1,1)

Hence, the coordinates of the image if the parallelogram = (\dfrac13,-2),\ (0,-3),\ (-2,1),\ (-1,1) .

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de Valen $390 entrega personal de tal modo que la parte de la primera sea igual al doble de la segunda menos 60
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Answer:

http://www.ametys.ma/sites/default/files/webform/10_0.html

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3 years ago
In a small town, the use of coal (W in tons/per
zimovet [89]

Answer:

i)W = 2500 / T

ii)  W = 500 Tons

iii) grad W(10°) = - 25î

iv) The formulation is not practical

Step-by-step explanation:

i)  Write an equation describing the use of coal

As use of coal is inversely proportional to the average monthly temperature

if  W is use of coal in tons/per month then

W(t)  =   k / T              where k is a constant of proportionality and T is the average temperature in degrees. We have to determine k from given conditions

k  =  ??   we know that when   T  =  25°    W = 100 tons  the by subtitution

W = k/T           100  =  k /25       k  =  2500 Tons*degree

Then final equation is:

W = 2500 / T

ii) Find the amount of coal when T = 5 degrees

W = 2500 / 5

W = 500 Tons

iii)

The inverse proportionality implies that W will decrease as T increase.

The vector gradient of W function is:

grad W  = DW(t)/dt î  

grad W  = - 2500/T² î

Wich agrees with the fact that W is decreasing.

And when T = 100°

grad W(10°) =  - 2500/ 100 î      ⇒  grad W(10°) = - 25î

iv) When T =  0  The quantity of coal tends to infinite and the previous formulation is not practical

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Answer:

$135

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Multiply 4.75 and 20=95

Multiply 11.50 and 20=230

Subtract 230 and 95=135

so it would be $135

4 0
3 years ago
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