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dlinn [17]
1 year ago
6

Answer two questions about Equations A and B: A. 2x1 = 5x B. -1 = 3x

Mathematics
1 answer:
Nutka1998 [239]1 year ago
6 0

Answer:

<h2><u><em>This is Equation B</em></u></h2>

Step-by-step explanation:

  • Algebraic equations are mathematical equations that contain unknown variables.
  • To get Equation B from Equation A, we add/subtract the same quantity to/from both sides. Option A is the correct option.
  • Equation A is equivalent to Equation B
  • Question 1: We are given equation A as:
  • 2x - 1 = 5x .............Equation A
  • To get Equation B from A, we would subtract 2x from both sides of the equation.
  • 2x - 2x - 1 = 5x - 2x
  • - 1 = 3x This is Equation B
  • Question 2: Based on the previous answer,
  • 2x - 1 = 5x  is equal to  -1 = 3x.
  • Hence, both Equation A and Equation B are equivalent expressions.
  • Therefore,
  • To get Equation B from Equation A, we add/subtract the same quantity to/from both sides. Option A is the correct option.
  • Equation A is equivalent to Equation B
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The Richter magnitude of an earthquake, M, is related to the energy released in ergs, E, by the formula M=2/3log(E/10^11.8). Fin
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</span>\log(\frac{E}{10^{11.8}})=\frac{3M}{2}

<span>Then, remove the log,:
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3 years ago
For what value of c is the function defined below continuous on (-\infty,\infty)?
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f(x)= \left \{ {{x^2-c^2,x \ \textless \  4} \atop {cx+20},x \geq 4} \right&#10;

It's clear that for x not equal to 4 this function is continuous. So the only question is what happens at 4.
<span>A function, f, is continuous at x = 4 if 
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</span><span>In notation we write respectively
</span>\lim_{x \rightarrow 4-} f(x) \ \ \ \text{ and } \ \ \ \lim_{x \rightarrow 4+} f(x)

Now the second of these is easy, because for x > 4, f(x) = cx + 20. Hence limit as x --> 4+ (i.e., from above, from the right) of f(x) is just <span>4c + 20.
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Thus these two limits, the one from above and below are equal if and only if
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That is to say, if c = -2, f(x) is continuous at x = 4. 

Because f is continuous for all over values of x, it now follows that f is continuous for all real nubmers (-\infty, +\infty)

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