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anonymous
 one year ago
A sandbag was thrown downward from a building. The function f(t) = 16t2  32t + 384 shows the height f(t), in feet, of the sandbag after t seconds:
Part A: Factor the function f(t) and use the factors to interpret the meaning of the xintercept of the function. (4 points)
Part B: Complete the square of the expression for f(x) to determine the vertex of the graph of f(x). Would this be a maximum or minimum on the graph? (4 points)
Part C: Use your answer in part B to determine the axis of symmetry for f(x)? (2 points)
anonymous
 one year ago
A sandbag was thrown downward from a building. The function f(t) = 16t2  32t + 384 shows the height f(t), in feet, of the sandbag after t seconds: Part A: Factor the function f(t) and use the factors to interpret the meaning of the xintercept of the function. (4 points) Part B: Complete the square of the expression for f(x) to determine the vertex of the graph of f(x). Would this be a maximum or minimum on the graph? (4 points) Part C: Use your answer in part B to determine the axis of symmetry for f(x)? (2 points)

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campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0well factor out 16 and you get \[f(t) = 16(t^2 + 2t  24)\] now factor the quadratic

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0In part B it talks about f(x).... where does that come from... seeing the original equation is f(t)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Wait how did you get that for a?

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0well you need to factor the quadratic in the brackets for A find the factors of 24 that add to 2... the larger factor is positive... that should be relatively easy

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0How do I find the factor of 24?

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0start with what are the factors of 24...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0What can be multiplied to get 24?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Hello, @campbell_st ?

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0thats correct... what pairs multiply to 24 or you can work on what pairs multiply ti 24 and have a difference of 2 e.g. 24 and 1 difference = 23 12 and 2 difference = 10

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok, so those are the factors of 24.

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0they are some of the factors of 24... but not the ones you need... what other pairs multiply to 24...?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0OHHHH and that has 2 number difference

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0great so the factored form is \[f(t) = 16(t + 6)(t  4)\] so what do they mean.... here is a simply sketch dw:1440101014383:dw the only intercept you need to consider is 4.... and you are talking time... and we can't go back in time so ignore 6 as an intercept... so what do you think t = 4 represents...?

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0forgot to say, to find the intercepts you need to solve the factors t + 6 = 0 and t  4 = 0

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so t = 6 and t = 4?

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0or in actual fact the graph is probably more like dw:1440101251335:dw

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0correct for the solutions.... there are the time values where then height is 0.... or the bag is on the ground... since time can't be negative, you ignore the solution t = 6 does that make sense..?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So in the end t = 4?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0But what im confused is, what do I write for "Part A: Factor the function f(t) and use the factors to interpret the meaning of the xintercept of the function."

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0thats correct... and what it means is simply, that's when the bag hits the ground...

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0the so its a really poorly worded question, and you should raise it with your teacher... they are talking about the horizontal axis... which is this case is used to show time (t)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0f(t)=−16(t2+2t−24) 4 * 6 ( Factor of 24) f(t)=−16(t+6)(t−4) (t=6)(t=4) Answer = 4 Can I write that for A?

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0yes... and you are also asked what it means... t = 4 is the time it takes the bag to hit the ground.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok, so thats for A. Do you think you could help me with B?

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0well can you check the equation is 32t and not + 32t..?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The function f(t) = 16t2  32t + 384

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Also, do you have skype campbell? may be easier

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0ok.... can you contact the instructor.... because the question makes no sense.... dw:1440102023056:dw its because the maximum height for the object occurs when t = 1..... which makes no sense... as that is 1 second before it is thrown from the window...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0My instructor is on vacation until monday

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0I'm about to go to school, but I'd be complaining to the teacher that this question makes absolutely no sense.... so here are the solutions you need PArt B complete the square \[f(t) = 16(t^2 + 2t + ?) + 384 \] to complete the square add 1 inside the brackets whcih means adding 16 outside \[f(t) = 16(t + 1)^2 + 400\] the vertex is at (1, 400) Part C, the axis if symmetry is the t value in the vertex at t = 1 hope it helps

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ty so much, you'r a life saver :D.
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