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torisob [31]
3 years ago
9

John is organizing a local event. He expects the approximate attendance for the event to be modeled by the function a(t) = -16t2

+ 48t + 64, where t is time in hours. Assuming the event ends when there are no attendees, plot the domain to represent the duration of the event. line plot
Mathematics
1 answer:
german3 years ago
8 0

Answer:

the duration of this event is 4 hours

Step-by-step explanation:

This function is a quadratic one

let Δ be the dicriminant :

  • a = -16
  • b = 48
  • c= 64
  • Δ = 48²-4*(-16)*64 = 6400

so there are two values that satisfy -16t²+48t+64 = 0  x and y

  • x= (-48+80)/-16*2 = -1
  • y= (-48-80)/-16*2= 4

x<0 so w won't take it since time is a positive value here

so t = y = 4h

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Answer:

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Step-by-step explanation:

Equation 1

3x-x=-24-6

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x=-32/2

x=-16

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-2m=6

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DerKrebs [107]

Answer:

y = -5x + 9

Step-by-step explanation:

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Since they gave you the slope and y-intercept, it is kind of a fill-in-the-blank problem. Nothing to calculate!

Fill in the slope for the m. Fill in the y-intercept for the b.

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2 years ago
The Benton Youth Soccer Team has 20 players on the team, including reserves. Of these, three are goalies. Today, the team is hav
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3 years ago
​In a sample of 800 U.S.​ adults, 199 think that most celebrities are good role models. Two Two U.S. adults are selected at rand
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Answer:

Step-by-step explanation:

Given that in a sample of 800 U.S.​ adults, 199 think that most celebrities are good role models. Two Two U.S. adults are selected at random from the population of all U.S. adults without replacement.

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= \frac{199C2}{800C2} \\=0.0616

=0.062

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= 1- 0.564

= 0.436

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3 years ago
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