Determine which of the following statements is true concerning the values described in column #1 and column #2.

column #1 column #2 the x-coordinate of the vertex of the graph of
y = −2x2 − 4x + 12the x-coordinate of the vertex of the graph of
y = x2 − 4x + 3

The value found in column #1 is less than the value found in column #2.

Step-by-step explanation:

To find the x-coordinate of the vertex, we find the equation for the axis of symmetry.  This is given by

x = -b/2a

For the equation in column #1, the values of a, b and c are:

a = -2; b = -4; c = 12

This makes the axis of symmetry

x = -(-4)/2(-2) = 4/-4 = -1

For the equation in column #2, the values of a, b and c are:

a = 1; b = -4; c = 3

This makes the axis of symmetry

x = -(-4)/2(1) = 4/2 = 2

This means the value in column #1 is less than the value in column #2.

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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