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Mathematics 10 Online
OpenStudy (anonymous):

Help Please :) http://prntscr.com/92ni5u

OpenStudy (lochana):

actually you don't need to draw graphs. you can substitute given x value in 2 equation and select the system gives same value for both y.

OpenStudy (anonymous):

? Im confused

OpenStudy (lochana):

well, take first system y = x^2 y = 4x + 2 and we are given x = -0.4 now put that value in those two equations y = (-0.4)^2 = 0.16 y = 4(-0.4) + 2 = 0.4

OpenStudy (lochana):

see, y values are not same. that means x = -0.4 is not a solution for 2 equations.

OpenStudy (lochana):

so first one is not an answer

OpenStudy (lochana):

so first one is not an answer

OpenStudy (lochana):

get it?

OpenStudy (anonymous):

So would it be C?

OpenStudy (lochana):

yes. you are correct:)

OpenStudy (anonymous):

Thank you,Do uu think you coul help me with two more diffucult problems please?

OpenStudy (lochana):

sure

OpenStudy (anonymous):

Thank youu !:D Okaii Before we start are these two correct? http://prntscr.com/92notk

OpenStudy (lochana):

first one is not right.

OpenStudy (lochana):

you want to put x value of pairs in equations and see y comes up

OpenStudy (lochana):

same thing like before

OpenStudy (anonymous):

So the first is A?

OpenStudy (lochana):

take (-1,2) y = x^2 + 1 y = 3x -1 now take x value of (-1,2). that is x = -1. now put in equations y = (-1)^2 + 1 = 2 y = 3(-1) -1 = -4 (-1,2) is not an answer because y is not 2 for both equations

OpenStudy (lochana):

try others like that. there is one solution. I can see it:)

OpenStudy (anonymous):

Wait would it be B? Since Y isnt 2 for both sides

OpenStudy (lochana):

not B. (-1,2) doesn't work here. you don't get y = 2 from second equation:(

OpenStudy (anonymous):

Okaiii Sorry I was inserting it wrong,Its c..Okaii heres the last one http://prntscr.com/92ntm7

OpenStudy (lochana):

yes c is the answer. well, you know already the highest point of B. right?

OpenStudy (anonymous):

Yes :D

OpenStudy (lochana):

you say it from the graph

OpenStudy (anonymous):

@lochana is correct c is the right answer

OpenStudy (lochana):

yeah. now we have A(t) = -(t-10)^2 + 455 (A rocket) here (t - 10)^2 is always positive right ?

OpenStudy (lochana):

it is a square of a number

OpenStudy (anonymous):

Is the answer A? :D

OpenStudy (lochana):

no:)

OpenStudy (anonymous):

Oh :( Sorry

OpenStudy (lochana):

yeah. what i wanted to say the fact that A(t) = -(t-10)^2 + 455 is takes highest value of A(t) when t = 10

OpenStudy (anonymous):

So its C?

OpenStudy (lochana):

noo:(. not A.:(

OpenStudy (lochana):

not A rocket

OpenStudy (anonymous):

Im so confused

OpenStudy (lochana):

yes. that's because you don't get the highest value of A(t) = -(t-10)^2 + 455

OpenStudy (lochana):

tell me what must happen to (t-10)^2 to make A(t) highest?

OpenStudy (anonymous):

it has to be solved

OpenStudy (lochana):

no. there is a tricky part.

OpenStudy (lochana):

can you understand that -(t-10)^2 is always negative??

OpenStudy (lochana):

because (t- 10)^2 is always positive. it is a square of a number. squares are never become negative:)

OpenStudy (lochana):

so is (t-10)^2 is postive, then -(t-10)^2 is always negative

OpenStudy (lochana):

if you understand that. this question is solved

OpenStudy (anonymous):

I dont understand

OpenStudy (lochana):

5^2 is positive. right?

OpenStudy (lochana):

\(5^2 = +25\)

OpenStudy (lochana):

right?

OpenStudy (anonymous):

Yes

OpenStudy (lochana):

so \((-5)^2 = +25\) \((t-10)^2 = positive\)

OpenStudy (lochana):

the key point is that whatever the number be, when you square it, it become positive value

OpenStudy (lochana):

t -10 is also a number. just like +5, -5

OpenStudy (lochana):

don't think about the actual value of (t-10)^2. think about sign of it. it is always positive.there is no way ,you get negative values from squaring.

OpenStudy (lochana):

are you still lost:'(

OpenStudy (anonymous):

So the answers B?,Im still kind of lost

OpenStudy (lochana):

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