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Call the  roots  m and  n

By Vieta's Theorem......

ax^2  + bc + c

Sum  of roots   = m + n  =  -b/a  =   3/2       square both sides   m^2 + 2mn + n^2  = 9/4   (1)

Product of  roots  = mn  =  c/a  =  27/2      and  2mn =  27    (2)

So......subbing   (2) into ( 1)   we have

m^2  +  27  + n^2  =  9/4

m^2 + n^2   =   9/4 - 27

m^2  + n^2   =  [9 - 108 ]  / 4   =   - 99 / 4

Let d be the number of dollars that Jeri finds.  Then solving the inequalities, you get d >= 200 and d < 575, so the answer is [200,575).

Let u and v be the solutions to 3x^2 + 5x + 7 = 2x^2 - 8x + 1.  Find u/v + v/u.

\(\begin{array}{|rcll|} \hline \mathbf{\dfrac{u}{v}+\dfrac{v}{u}} \\ &=& \dfrac{u^2+v^2}{uv} \\ &=& \dfrac{u^2+v^2}{uv} +2-2 \\ &=& \dfrac{u^2+v^2}{uv} +\dfrac{2uv}{uv}-2 \\ &=& \dfrac{u^2+2uv+v^2}{uv}-2 \\ &=& \dfrac{(u+v)^2}{uv}-2 \\ &=& \mathbf{\dfrac{(u+v)^2-2uv}{uv}} \\ \hline \mathbf{x^2+13x+6}&=&\mathbf{0} \\ \text{By Vieta: } \qquad u = -13, \quad v = 6 \\ \hline \end{array}\)

\(\begin{array}{|rcll|} \hline \mathbf{\dfrac{u}{v}+\dfrac{v}{u}} &=& \mathbf{\dfrac{(u+v)^2-2uv}{uv}} \\\\ &=& \dfrac{(-13)^2-2*6}{6} \\\\ &=& \dfrac{169-12}{6} \\\\ &=& \mathbf{\dfrac{157}{6}} \\ \hline \end{array} \)

Hey there, Guest!

So the missing number is 0.001.

Hope this helped! :)

( ﾟдﾟ)つ Bye

The answer is -5,4.

tan X = 25/24.

m = 137.

let's draw a triangle, with the legs, 1 and 2. 

So th hypotenues is sqrt(5)

Sine = 2/sqrt(5)

Cos = 1/sqrt(5)

=^._.^=

4(x + 7)(2 - x) + (2 - x)

(2-x)(4(x + 7)+1)

(2-x)(4x+29)

Now, it's a quadratic, and we're looking for the vertex. 

Can you solve it from here?

=^._.^=

The sum of all possible values of $\lfloor 4x \rfloor$ is $\boxed{90}$.

Hey there, Guest!

So the perimeter is 22 units.

Here's a graph to help you count: https://www.desmos.com/calculator/egnumghnxs

Hope this helped! :)

( ﾟдﾟ)つ Bye

There are 15 such polynomials.

The length is 2/3*sqrt(5).

Could someone plz help me?

Hey there, Guest!

So, let's count.

6:35 PM+25=7:00 PM

7:00 PM+15=7:15 PM

Hope this helped! :)

( ﾟдﾟ)つ Bye

People being rude to you isn't a valid reason for not liking the app. It's the person's fault if they write something mean, but you can make a post about it asking a moderator to ask whoever is being mean to stop. A moderator will most likely reply, as there is usually one or two online. About the gmail thing, pretty much every single website/app asks you to give an email address because they send notifications to your phone/computer when things happen. Making a gmail account isn't too hard either, I have a couple myself. All you have to do is give your name and maybe your phone number and you will be able to have a gmail account. I would suggest you make one if you use lots of sites like this one where you usually have to give an email address. I don't know about the not being able to edit/delete your posts, but I'm pretty sure the site won't be able to tell who made which post if you're a guest. There are tons of guests making posts, and if you don't have an account, you won't be able to edit them because they are all probably being registered to one user called "Guest". The site won't be able to differ between you and another guest.

The fix to all of your problems would just be to get an account in my opinion :/

Apparently I can't delete this post because I accidentally replied to the answer and not the question, so nothing to see here :)

Hey there, Guest!

So 3a - a + a is our equation here, now let's solve it:

3a−a+a

=3a+−a+a

Combine Like Terms:

=3a+−a+a

=(3a+−a+a)

=3a

And there's our answer.

Hope this helped! :)

( ﾟдﾟ)つ Bye

Well when you power off then you can ask more questions when it says you can't post anymore questions, you can power off again.

sorry if this did not help

I think the soap will be dirty, and the floor will be clean, not too sure tho. 

3a - a + a

a(3 - 1 + 1)

a(3)

3a

=^._.^=

Yeah, some people are quite mean, but that's not the fault of the app. 

It's like blaming gmail for recieving a bad email, it's the fault of the person that sent it, not the app.

=^._.^=

On the x axis = (a, 0)

Now we can use the distance formula. 

(a-2)^2 + (0-0)^2 = (a-0)^2 + (0-6)^2

a^4 - 4a + 4 = a^2 + 36

-4a = 32

a = -8

I hope that's right. :)

=^._.^=

z = a + bi

|z| = a^2 + b^2 = 1

z with line = a - bi

|z| with a line = a^2 + (-b)^2 = 1

So I think the answer is just 1/2. 

I'm not sure tho

=^._.^=

Hey there, Guest!

The egg comes first, and then the chicken grows up inside of it and eventually breaks the egg (the hatching process).

Therefore, the egg came first.

Hope this helped! :)

( ﾟдﾟ)つ Bye