The safety inspector notes that ray also needs to plan for a vertical ladder through the center of the coaster's parabolic shape for access to the coaster to perform safety repairs. find the vertex and the equation for the axis of symmetry of the parabola, showing your work, so ray can include it in his coaster plan. f(x)=4x^2+5x+2

Step-by-step explanation:

For quadratic ax²+bx+c, the axis of symmetry is located at x=-b/(2a).

Here, we have a=4, b=5, so the axis of symmetry is ...

... x = -5/(2·4) = -5/8

The vertex y-value will be f(-5/8).

... f(-5/8) = (4·(-5/8) +5)·(-5/8) +2 = (5/2)·(-5/8) +2 = -25/16 +32/16

... f(-5/8) = 7/16

The axis of symmetry is x = -5/8; the vertex is (-5/8, 7/16).

the answer is 375 miles

step-by-step explanation:

2/3

step-by-step explanation:

the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves