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anonymous
 one year ago
A punter kicks a football upward with an initial speed of 48 feet per second. After how many seconds does the ball hit the ground?
Use the formula h = rt − 16t2 where h represents height in feet and r represents the initial speed.
anonymous
 one year ago
A punter kicks a football upward with an initial speed of 48 feet per second. After how many seconds does the ball hit the ground? Use the formula h = rt − 16t2 where h represents height in feet and r represents the initial speed.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So it looks like this? \[h = 48t16t^2\]

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0so you need to le the height = 0 and then solve 0 = 48t  16t^2 for t this can be factored

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Now try to put it into quadratic form like \[48t16t^236=0\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Then factor this and you should get 2 values.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0No...use quadratic equation

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so the answer is 3 seconds

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0A company launches 4 new products. The market price, in dollars, of the 4 products after a different number of years, x, is shown in the following table: Product Function Year 1 (dollars) Year 2 (dollars) Year 3 (dollars) Product 1 f(x) = x3 1 8 27 Product 2 g(x) = x2 + 11 12 15 20 Product 3 h(x) = 4x 4 16 64 Product 4 j(x) = 4x + 8 12 16 20 Based on the data in the table, for which product does the price eventually exceed all others? Product 1 Product 2 Product 3 Product 4

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0can u help with this

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0h(x) is this? \[4x^4\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0If it is product 3 will exceed all other price, it's increasing exponentially

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0It's product 1, product 3 is only 4x

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0A ball is thrown upward from the top of a building. The function below shows the height of the ball in relation to sea level, f(t), in feet, at different times, t, in seconds: f(t) = −16t2 + 48t + 100 The average rate of change of f(t) from t = 3 seconds to t = 5 seconds is _____feet per second.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\left[\begin{matrix}Product & Function & Year 1 & Year 2 & Year 3\\ 1 & f(x)=x^3 & 1 &8 &27 \\ 2 & g(x) = x^2+11 & 12 &15&20 \\ 3 & h(x) = 4x & 4&16& 64 \\4 &j(x)=4x+8 &12 &16 &20\end{matrix}\right]\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0that should seem clearer when i put it this way

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok take the derivative of the function f(t)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I hope you know how to do that

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0can i just solve for t

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0no you can't solve for t because every value of t gives you something new, its a function

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0and you are finding the rate of change

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0This curve looks like thisdw:1438220902622:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so you are solving for the tangent line like thisdw:1438221106783:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok...I'll show you the formula first, you try it then I show to the other way \[f'(x)= \frac{ f(x+h)f(x) }{ h }\] h is 53=2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so you are basically doing \[f'(x)=\frac{ f(5)f(3) }{ 2 }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0how would i solve that

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0f(5) is \[f(5)=16(5)^2+48(5)+100\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0no this is just f(5)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0remember you need to take f(5)f(3) and divide by 53

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0guess ill show you the short way since i have to go soon its some calculus magic but it works
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