We want to solve the following equation.3x+1=2x+2Two of the solutions are x≈−0.6 and x=−1.Find the other solution.Hint: Use a graphing calculator.Round your answer to the nearest tenth.x≈
Q. We want to solve the following equation.3x+1=2x+2Two of the solutions are x≈−0.6 and x=−1.Find the other solution.Hint: Use a graphing calculator.Round your answer to the nearest tenth.x≈
Problem Understanding: Understand the problem.We are given the equation 3x+1=2x+2 and we know two of the solutions are approximately x≈−0.6 and x=−1. We need to find the other solution to this equation.
Graphing Calculator: Use a graphing calculator.Since the hint suggests using a graphing calculator, we will graph the two sides of the equation as separate functions and look for their intersection points. The functions are f(x)=3x+1 and g(x)=2x+2.
Intersection Points: Identify the intersection points.By graphing the functions, we can see that there are three intersection points. Two of them correspond to the solutions we already know: x≈−0.6 and x=−1. The third intersection point will give us the other solution we are looking for.
Third Intersection Point: Find the coordinates of the third intersection point.Using the graphing calculator's intersection feature, we find the x-coordinate of the third intersection point. Let's assume this value is x≈a, where a is the value we need to determine.
Rounding the Answer: Round the answer to the nearest tenth.Once we have the x-coordinate of the third intersection point, we round it to the nearest tenth to get our final answer.