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).

13

step-by-step explanation:

169-1=168

168-3=165

165-5=160

160-7=153

153-9=144

144-11=133

133-13=120

120-15=105

105-17=88

88-19=69

69-21=48

48-23=25

25-25=0

since it took 13times to completely subtract it hence its square root is 13