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Mathematics 8 Online
OpenStudy (mtalhahassan2):

can someone plz check my answer?

OpenStudy (mtalhahassan2):

http://prnt.sc/d9uf4q http://prnt.sc/d9uf8q

OpenStudy (mtalhahassan2):

@Astrophysics

OpenStudy (mtalhahassan2):

@sooobored

OpenStudy (mtalhahassan2):

@.Sam.

OpenStudy (sooobored):

first one can easily be checked based off y-intercept looks like there is already a check there

OpenStudy (sooobored):

are you familar with the first derivative? for d. the distance away from the punter is teh same as finding the roots of the given equation. you can either find it by factoring or by using the quadratic formula

OpenStudy (mtalhahassan2):

@sooobored so is my last two answers are wrong?

OpenStudy (sooobored):

well, i assumed the x mark means its wrong

OpenStudy (mtalhahassan2):

yes i know the first derivative

OpenStudy (sooobored):

didnt calculate it and check but i can if you want

OpenStudy (mtalhahassan2):

sure plz check that one

OpenStudy (mtalhahassan2):

i think that is what I am getting

OpenStudy (sooobored):

f(x)=-16/1225 x^2 +7/5x +3/2 f'(x) = -32/1225 x +7/5 setting to zero 0= -32/1225 x +7/5 32/1225x=7/5 so it should reach maximum height when x= 53.59375 plugging that back in f(53.59375)= ... wish i had matlab up and on this comp

OpenStudy (sooobored):

yay its up, one sec

OpenStudy (mtalhahassan2):

75.83125?

OpenStudy (mtalhahassan2):

y= -16/1225(53.59375) +7/5(53.59375) +3/2

OpenStudy (sooobored):

108.248... as distance

OpenStudy (sooobored):

39.015625 as height answers look good when rounded

OpenStudy (mtalhahassan2):

but isn't the y vale for the maximum height ?

OpenStudy (sooobored):

?

OpenStudy (sooobored):

the equation you wrote is missing a square

OpenStudy (mtalhahassan2):

oh

OpenStudy (sooobored):

53.... ^2 +...

OpenStudy (mtalhahassan2):

well this is what I get when I draw the graph

OpenStudy (mtalhahassan2):

http://prntscr.com/d9ujrm

OpenStudy (sooobored):

ok? nothing wrong with that

OpenStudy (mtalhahassan2):

39.02 as height

OpenStudy (mtalhahassan2):

right?

OpenStudy (sooobored):

i calculated 39.015625 as height its the same when rounded

OpenStudy (mtalhahassan2):

yep

OpenStudy (sooobored):

did you not see it above?

OpenStudy (mtalhahassan2):

i do

OpenStudy (sooobored):

oh, then is there any other questions? the values you inputted are correct

OpenStudy (mtalhahassan2):

but now how did you figure out part d can you plz explain that a bit?

OpenStudy (mtalhahassan2):

we need to find the x-intercept right? make y=0?

OpenStudy (sooobored):

oh, well, i cheated and used matlab roots([ -16/1225 7/5 3/2])

OpenStudy (sooobored):

what you would actually do would be use the quadratic formula \[\frac{-b \pm \sqrt{b^2-4ac}}{2a}\]

OpenStudy (sooobored):

assuming you dont want to try and factor it

OpenStudy (sooobored):

i suggest memorizing it, its really useful to know off the top of your head for tests

OpenStudy (mtalhahassan2):

ok thanks a lot

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