contestada

the path of the longest shot put by the women's track team is modeled by h(x)=-0.015x^2 + 1.08x + 5.8, where x represents the horizontal distance from the start and h(x) is the height of the shot put above the ground. ( Both x and h(x) are measured in feet)

a. determine h(24). Round your answer to 2 decimal places. Then Explain What Your Answer means in the context of the problem. ( "In the context of the problem" means " in terms of the shot put's horizonal distance from the start and in terms of the height of the shot put above the ground.")​

Respuesta :

calculista

Answer:

The horizontal distance of the shot from the start is 24 feet and the height of the shot above the ground is 23.08 feet.

Step-by-step explanation:

we have

[tex]h(x)=-0.015x^{2}+1.08x+5.8[/tex]

where

x represents the horizontal distance from the start in feet

h(x)  s the height of the shot put above the ground in feet

Determine h(24)

That means ----> The height of the shot put above the ground for a horizontal distance of 24 feet from the start

substitute the value of x=24 ft in the quadratic equation

[tex]h(24)=-0.015(24)^{2}+1.08(24)x+5.8[/tex]

[tex]h(24)=23.08\ ft[/tex]

so

The horizontal distance of the shot from the start is 24 feet and the height of the shot above the ground is 23.08 feet.

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