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kvasek [131]
3 years ago
11

6/7 (7/6)x=5 (6/7) what is the value of x?

Mathematics
1 answer:
Masja [62]3 years ago
3 0

Answer:

x is 30/7

Step-by-step explanation:

You want to isolate x.

First, solve 5 * 6/7. The answer is 30/7.

Next, divide both sides by 6/7. This will cancel out the 6/7 on the left . For the right, when dividing fractions, you must take the reciprocal of the second fraction and multiply by it. So instead of having 30/7 divided by 6/7, you will have 30/7 * 7/6. The answer is 210/45 which simplifies to 5.

Third, you want to divide both sides by 7/6. Again the 7/6 on the left will be cancelled out. And you must do 5 * 6/7. In order to make the 5 look like a fraction to reduce confusion, you can set it over 1 (thus, you would do 5/1 * 6/7). The answer is 30/7.

You can plug it back into the equation to check.

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Find the vertex form of: y=2x^2-5x+13
Ket [755]
The vertex form of a quadratic function is:

 f(x) = a(x - h)² + k

The coordinate (h, k) represents a parabola's vertex.

In order to convert a quadratic function in standard form to the vertex form, we can complete the square.

y = 2x² - 5x + 13

Move the constant, 13, to the other side of the equation by subtracting it from both sides of the equation.

y - 13 = 2x² - 5x

Factor out 2 on the right side of the equation.

y - 13 = 2(x² - 2.5x)

Add (b/2)² to both sides of the equation, but remember that since we factored 2 out on the right side of the equation we have to multiply (b/2)² by 2 again on the left side.

y - 13 + 2(2.5/2)² = 2(x² - 2.5x + (2.5/2)²)

y - 13 + 3.125 = 2(x² - 2.5x + 1.5625)

Add the constants on the left and factor the expression on the right to a perfect square.

y - 9.875 = 2(x - 1.25)²

Now, we need y to be by itself again so add 9.875 back to both sides of the equation to move it back to the right side.

y = 2(x - 1.25)² + 9.875

Vertex: (1.25, 9.875)

Solution: y = 2(x - 1.25)² + 9.875

Or if you prefer fractions

y = 2(x - 5/4)² + 79/8
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Answer:

Step-by-step explanation:

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