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Mathematics : asked on brittanysanders
 25.05.2022

Two water balloons were launched into the air at different moments and collided. The water balloons were modeled by the quadratic functions: y = −3x2 + 24x + 3 and y = −4x2 + 25x + 15, where y represents the height in meters and x represents the time in seconds after the launch. What is the time, in seconds, that the balloons collided at the highest point?

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09.07.2023, solved by verified expert
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Rajat Thapa
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Mathematics, DAV Post Graduate College
5 229 answers
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4s

Step-by-step explanation:

Equate the equations and solve for x:

Two water balloons were launched into the air, №18009802, 25.05.2022 07:49

Two water balloons were launched into the air, №18009802, 25.05.2022 07:49

Two water balloons were launched into the air, №18009802, 25.05.2022 07:49

Two water balloons were launched into the air, №18009802, 25.05.2022 07:49

Two water balloons were launched into the air, №18009802, 25.05.2022 07:49

Two water balloons were launched into the air, №18009802, 25.05.2022 07:49

As time is positive, x = 4

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Mathematics
Two water balloons were launched into the air at different moments and collided. The water balloons were modeled by the quadratic functions: y = −3x2 + 24x + 3 and y = −4x2 + 25x + 15, where y represents the height in meters and x represents the time in seconds after the launch. What is the time, in seconds, that the balloons collided at the highest point?
Step-by-step answer
P Answered by Master

4s

Step-by-step explanation:

Equate the equations and solve for x:

-3x^2 + 24x + 3=-4x^2 + 25x + 15

\implies x^2 -x -12=0

\implies x^2 -4x+3x -12=0

\implies x(x-4)+3(x-4)=0

\implies (x+3)(x-4)=0

\implies x=-3, x=4

As time is positive, x = 4

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For 1 flavor there are 9 topping

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The solution is in the following image

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A 4300-N force from a car s engines produces an acceleration of 3.3 m/s2. What is the mass of the car? A. 4300 kg B. 1300 kg C. 14,000 kg D. 390 kg
Step-by-step answer
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F=ma

where F=force

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The answer is in the image 

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Step-by-step answer
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Here,

tip=18%of $32

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Step-by-step answer
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Step-by-step answer
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