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dlinn [17]
11 months ago
6

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

Mathematics
1 answer:
Nutka1998 [239]11 months 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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Consider the following problem: A farmer with 750 ft of fencing wants to enclose a rectangular area and then divide it into four
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Answer and step-by-step explanation:

For any rectangle, the one with the largest area will be the one whose dimensions are as close to a square as possible.

However, the dividers change the process to find this maximum somewhat.

Letting x represent two sides of the rectangle and the 3 parallel dividers, we have 2x+3x = 5x.

Letting y represent the other two sides of the rectangle, we have 2y.

We know that 2y + 5x = 750.

Solving for y, we first subtract 5x from each side:

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Next we divide both sides by 2:

2y/2 = -5x/2 + 750/2

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A = xy

Substituting the expression for y we just found above, we have

A = x(-2.5x+375)

A = -2.5x² + 375x

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