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Leto [7]
3 years ago
7

Solve for x: -4(3x - 2) = 6x + 2

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
5 0

Answer:

1/3 =x

Step-by-step explanation:

-4(3x - 2) = 6x + 2

distribute

-12x +8 = 6x+2

Add 12 x to each side

-12x+12x +8 = 6x+12x+2

8 = 18x+2

Subtract 2 from each side

8-2 = 18x+2-2

6 = 18x

Divide each side by 18

6/18 = 18x/18

1/3 =x

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zysi [14]
When you subtract by zeros the same number comes out

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3 years ago
What is the solution of the following equation 2x^2-3x+2=0
zaharov [31]

Answer:

x= \frac{3+\sqrt{7}i}{4}} or x=\frac{3-\sqrt{7}i}{4}}

Step-by-step explanation:

2x^2-3x+2=0

We complete the square as follows

Group the constant term on the right hand side

2x^2-3x=-2

Divide through by 2,

x^2-\frac{3}{2}x=-1

Add half the square of the coefficient of x to get;

x^2-\frac{3}{2}x+(-\frac{3}{4})^2=-1+(-\frac{3}{4})^2

Simplify to get

(x-\frac{3}{4})^2=-1+\frac{9}{16}


(x-\frac{3}{4})^2=-\frac{7}{16}

Take the square root of both sides to get

(x-\frac{3}{4})=\pm \sqrt{-\frac{7}{16}}

Solve for x

(x-\frac{3}{4})=\pm \frac{\sqrt{7}i}{4}}


x=\frac{3}{4} \pm \frac{\sqrt{7}i}{4}}


x= \frac{3+\sqrt{7}i}{4}} or x=\frac{3-\sqrt{7}i}{4}}








6 0
3 years ago
12 out of 30 people chose their favourite colour as blue calculate the angle you would use for blue on a pie chart
sergey [27]
First, I'll calculate the percentage:

\frac{12}{30} *100%= \frac{12*100}{30} = \frac{120}{3} =40

so it was 40 % of people that chose blue

And now we can calculate the angle;
 

the full chart would have 360 Degrees, and the "blue" portion of the chart would have 40 % od 360 or \frac{40*360}{100} =4*36=120+24=144


so the angle would be 144 degrees!
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A sample is selected from a population with a mean of u=100 and a standard deviation of o-20 what is the expected value of m and
igor_vitrenko [27]
N=23...................................
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The product of 8 and the sum of a number x and 14<br> Algebraic Expression
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Answer:

8(x+14)

Step-by-step explanation:

4 0
3 years ago
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