Question

Please help solve this question

Answer 1

x = 0.59 to the nearest hundredth

Explanation:

Look at the attached figure

• The equation is 2x +
  `e^(x)` = 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