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liraira [26]
2 years ago
11

A . y+2 = x B. y+1 = x C. y-1 = x D. y-2 = x what answer?

Mathematics
1 answer:
ValentinkaMS [17]2 years ago
5 0

Answer:  y = x - 2, or y+2=x

Step-by-step explanation:  The slope of the line is 1 (y increases by 1 for every x increase of 1). So we start with y = 1x + b.  b is the y intercept, which is -2.  Thus, we have y = 1x- 2.

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I guess I'm lacking in differential equations. I couldn't solve this question. Can you help me?
Sonja [21]

Answer:

See Explanation.

General Formulas and Concepts:

<u>Pre-Algebra</u>

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Chain Rule: \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)

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Step-by-step explanation:

<u>Step 1: Define</u>

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  1. Rewrite:                                                                                                         t = ln(\frac{2x-1}{x-1})
  2. Rewrite [Ln Properties]:                                                                                 t = ln(2x-1) - ln(x - 1)
  3. Differentiate [Ln/Chain Rule/Basic Power Rule]:                                         \frac{dt}{dx} = \frac{1}{2x-1} \cdot 2 - \frac{1}{x-1} \cdot 1
  4. Simplify:                                                                                                          \frac{dt}{dx} = \frac{2}{2x-1} - \frac{1}{x-1}
  5. Rewrite:                                                                                                          \frac{dt}{dx} = \frac{2(x-1)}{(2x-1)(x-1)} - \frac{2x-1}{(2x-1)(x-1)}
  6. Combine:                                                                                                       \frac{dt}{dx} = \frac{-1}{(2x-1)(x-1)}
  7. Reciprocate:                                                                                                  \frac{dx}{dt} = -(2x-1)(x-1)
  8. Distribute:                                                                                                         \frac{dx}{dt} = (1-2x)(x-1)
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