Respuesta :

Answer:

x = 0.59 to the nearest hundredth

Step-by-step explanation:

Look at the attached figure

  • The equation is 2x + [tex]e^{x}[/tex] = 3
  • The red curve represents the left side of the equation
  • The blue line represents the right side of the equation
  • The solution of the equation is the point of intersection of the two graphs

∵ There are 5 small squares between every 2 numbers on the x-axis

∴ Each square represents 0.2

∵ There are 5 small squares between every 2 numbers on the y-axis

∴ Each square represents 0.2

∵ The point of intersection between the 2 graphs is nearest to

   the 3rd small square after the zero on the x-axis

∵ 0.2 × 3 = 0.6

∴ The x-coordinate of the point is approximately located at 0.59

x = 0.59 to the nearest hundredth

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