I am having dinner. Gimme a few minutes 👀

You are on the right track. Sub in x into the second equation and solve for y. Then sub the result of y back into the first equation

I did sub in for x but I think I did something wrong because it wasn't an interger

I did sub x= y+30 to 3x + y^2 = 189

than distributed and made it standard form and got y^2 +3y -99

This I don’t even know where to start

Oh I had a feeling it was (x+3) but didn’t go with it

oh I don't even know what you did

idk if in this context is if this is where the parabolas collide with each other or not

do I factor out a t to make a linear equation?

the teacher knows that I didn't do it because idk the steps and likely she never taught me

no. you equate the two equations together (at least from my initial read through/thought process), and solve for time. the purpose is to find a time where both cultures have the same amount of cells/unit area

So put equation a at left side and equation b at the right side?

yes. just make them equal to each other (ie. both equations have the same end result)

Wow I still don’t understand

But why 2 specifically?

yea it is

Sorry, missed that message before😅

Dw don’t know to solve the final one other than perhaps graphing

because I know s(t) is basically y

Or use elimination idk

So i followed it up to this point

What i think you'd do from here is add .01 t to the other side (canceling it out on the left). Then I'd divide by t so that we have .0015t on the left and .01 on the right. Then if you divide by .0015 on either side you should get t=.01/.0015 and whatever that ends up being is an answer.

I still don't get it, maybe I should see if I can use the quadratic equation and remove the S(t)

I just did elimination and got to 0.0015 t^2 - 0.01t = 0

Which is where I got

ok I could factor a t and solve to t

Then you have (t)(.0015t+.01)=0

it's just simple algebra. moving equations on the right side all over to the left (switch the sign) so the right is now zero

I would imagine there would only be 1 solution then since it's quadratic

sorry if my shortcut is confusing 😓

Yeah, that much i get

it's also 0,0 since they have the same vertex location

okay, good. i often made tiny mistakes so it's good that you double-checked me on that

yes, kinda. that's after you set the equation to 0

ok I just factored, solved for t and got 6.66

I"m on the right track, I think I can solve this right now

ok so my final answer is 0.287, idk how f(x) even works

oh wait I forgot the square