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pychu [463]
3 years ago
15

Given the function f(x) = 8^2-5x+7 f( - 2) f( - 1) = f(0) f(1) f(2) =

Mathematics
1 answer:
Crazy boy [7]3 years ago
6 0
F(-2)= 81
f(-1)= 76
f(0)= 71
f(1)= 66
f(2)= 61
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OlgaM077 [116]

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A firecracker reaches a height of h feet before it bursts. The height h is modeled by h = −16t2 + vt + c, where v is the initial
daser333 [38]

General Idea:

If we have a quadratic function of the form f(x)=ax^{2} +bx+c , then the function will attain its maximum value only if a < 0 & its maximum value will be at x=-\frac{b}{2a} .

Applying the concept:

The height h is modeled by h = −16t^2 + vt + c, where v is the initial velocity, and c is the beginning height of the firecracker above the ground. The firecracker is placed on the roof of a building of height 15 feet and is fired at an initial velocity of 100 feet per second. Substituting 15 for c and 100 for v, we get the function as h=-16t^2+100t+15.

Comparing the function f(x)=ax^{2} +bx+c with the given function h=-16t^{2} +100t+15, we get a = -16, b = 100 and c=15.

The maximum height of the soccer ball will occur at t=\frac{-b}{2a}=\frac{-100}{2(-16)} = \frac{-100}{-32}=3.125 seconds

The maximum height is found by substituting t=3.125 in the function as below:

h=-16(3.125)^2+100(3.125)+15=171.25 feet

Conclusion:

<u>Yes !</u> The firecracker reaches a height of 100 feet before it bursts.

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valentina_108 [34]
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Elza [17]

Answer:

1 mile =1609 km

Step-by-step explanation:

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