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Eva8 [605]
3 years ago
14

6. Find the value of x. 19x - 36 6x + 31

Mathematics
1 answer:
marysya [2.9K]3 years ago
3 0

Answer:

x = 5.153846154

Step-by-step explanation:

Simplifying

6x + 31 = 19x + -36

Reorder the terms:

31 + 6x = 19x + -36

Reorder the terms:

31 + 6x = -36 + 19x

Solving

31 + 6x = -36 + 19x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-19x' to each side of the equation.

31 + 6x + -19x = -36 + 19x + -19x

Combine like terms: 6x + -19x = -13x

31 + -13x = -36 + 19x + -19x

Combine like terms: 19x + -19x = 0

31 + -13x = -36 + 0

31 + -13x = -36

Add '-31' to each side of the equation.

31 + -31 + -13x = -36 + -31

Combine like terms: 31 + -31 = 0

0 + -13x = -36 + -31

-13x = -36 + -31

Combine like terms: -36 + -31 = -67

-13x = -67

Divide each side by '-13'.

x = 5.153846154

Simplifying

x = 5.153846154

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Step-by-step explanation:

  • If the stock goes up 30%, it's multiplied by 1.3.

The reason is that  x + .3 \times x=1.3\times x

  • If the stock goes down 20%, it's multiplied by 0.8

The reason is that x - .2 \times x = 0.8 \times x

  • If the stock goes down 30%, it's multiplied by 0.7

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  • If the stock goes up 40%, it's multiplied by 1.4.

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So

If you increase it by 30% and then drop it by 20%, it means you are multiplying it by 1.3 and then multiplying it by .8. In other words:

1.3 \times 0.8=1.04

So, the net gain is = .04

Assume the original value = 500

Increase it by 30% and it becomes 650

Decrease 650 by 20% and it becomes 520

So, the net gain = 20

Verification:

500 \times .04=20

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If you drop it by 30% and then increase it by 40%, you are multiplying it by .7 and then multiplying it by 1.4. In other words:

.7 \times 1.4=0.98

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Decrease it by 30% and it becomes 350.

increase 350 by 40% and it becomes 490.

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Verification:

500 \times .02=10

Keywords: stock, loss, gain

Learn more loss and gain from brainly.com/question/14456161

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<h2>SOLVING</h2>

\Large\maltese\underline{\textsf{A. \space What is Asked}}

Find the gradient of the line segment between the points \bf{(4,3)\:and\:(5,6)}

\Large\maltese\underline{\textsf{B. This problem has been solved!}}

The formula used, here is

\bf{m=\dfrac{y2-y1}{x2-x1}

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Now let's put in the co-ordinates from these two points.

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