Amy solved the equation 2x ^ 2 + 5x - 42 = 0 She stated that the solutions to the equation were 7/2 and -6. Do you agree with Amy's solutions? Explain why or why not.

The answer to your question is Amy is correct.

Step-by-step explanation:

Data

Equation              2x² + 5x - 42 = 0

-Factor

 2 x 42 = 84

- Find the prime factors of 84

                                       84     2

                                       42     2

                                        21     3

                                          7     7

                                           1

84 = 2² 3 7

-Find two numbers that added gives 5

 These numbers are 12 and -7

- Express the equation using these numbers

                          2x² + 12x - 7x - 42

-Factor by common factor

                          2x(x + 6) -7(x + 6)

-Factor by grouping

                              (x + 6)(2x - 7)

-Find the roots

                        x₁ + 6 = 0            2x₂ - 7 = 0

                        x₁ = -6                 2x₂ = 7

                                                     x₂ = 7/2

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation:

don't report but were is the digram

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