DOING A QUIZ PLEASE HELP!
A bridge is supported by three arches. The function that describes the arches is
h(x) = –0.2x2 + 3.0x, where h(x) is the height, in metres, of the arch above the ground at any distance, x, in metres, from one end of the bridge. How tall is each arch?

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step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is