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pickupchik [31]
3 years ago
13

Solve the following equation for the variable x. ( 1/27 is a fraction )

Mathematics
2 answers:
igor_vitrenko [27]3 years ago
5 0
The answer is,
\frac{10935}{59048}
Also equivalent to about, 0.185188.
Masja [62]3 years ago
4 0
<span>3^(4x-5) =(1/27)^2x+10
</span>3^(4x-5) =(3^-3)^(2x+10)
3^(4x-5) =3^(-6x-30)
4x - 5 = -6x - 30
10x = -25
    x = -2.5
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6 0
3 years ago
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As a first step in solving the system shown, Yumiko multiplies both sides of the equation 2x – 3y = 12 by 6. By what factor shou
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Answer:

Yumiko should multiply the other equation by 3.

If she adds the two equations she would be left with the variable 'x'.

Step-by-step explanation:

Given the two equations are as follows:

$ 2x - 3y = 12 \hspace{5mm} \hdots (1) $

$ 5x + 6y = 18 \hspace{5mm} \hdots (2) $

It is given that she multiplies the first equation by 6. Therefore, (1) becomes

$ 12x - 18y = 72 \hspace{15mm} \hdots (a) $

Now, note that the sign of the variable 'y' is negative. So, if we make the co-effecient of 'y' equal in both the cases, add them it would result in the elimination of the variable 'y'.

The co-effecient of y in Equation (2) is 6. To make it 18 like it is in Equation (1), we multiply throughout by 3.

Therefore, Equation (2) becomes:

$ 15x + 18y = 54 \hspace{5mm} \hdots (b) $

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$ \implies 12x - 18y + 15x + 18y = 72 + 54 $

$ \implies 27x = 126 $

Factor: 3

Equation: 27x = 126

7 0
3 years ago
When written in standard form, the quadratic equation, x2 - 2x - 35 = 0, is equivalent to y = (x - 1)2 - 36. What is the vertex
horrorfan [7]
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3 years ago
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Step-by-step explanation:

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3 years ago
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An electronics store receives a shipment of 35 graphing calculators including 7 that are defective. eight calculators are chosen
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_{35}C_8=\frac{35!}{8!27!}=23535820
8 0
3 years ago
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