jachelt928 jachelt928
  • 24-05-2024
  • Mathematics
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NEED HELP ASAP!!!!!!!!!!!

NEED HELP ASAP class=

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olumideolawoyin
olumideolawoyin olumideolawoyin
  • 24-05-2024

Answer:

36 feet

Step-by-step explanation:

Height of the baseball;

[tex]f(x) = - 0.1 {x}^{2} + 4x + 6[/tex]

At maximum height of the ball,

f'(x) =

[tex] \frac{dy}{dx} = 0[/tex]

[tex]( - 0.2 \times 2)x + 4 = 0[/tex]

-0.4x + 4 = 0

0.4x = 4 Divide both sides by 0.4

x = 10.

This means that the maximum height of the ball is when the horizontal distance x = 10 feet.

Maximum height = f(10) =

[tex]( - 0.1) {10}^{2} + 4(10) + 6[/tex]

= (-0.1 × 100) + 40 + 6

= -10 + 46

= 36 feet

Hence, the maximum height of the ball is 36 feet

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