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CPill,

Thank you for your time, I am going to spend some time with examples of these types of questions, however I am sure the light will go on.....I honestly do appreciate!!..have a blessed day...

2)   Any value of x  that makes  25 - 2x  ≥ 0   but  NOT a perfect square  will mean that  a radical will still remain in the expression......and  the remaining radical WILL NOT be a rational number....to see this

Let x  =  2     and we have that

√[25 - (2)(2) ]  / 2  =  √21 / 2       and  √21/2  is NOT RATIONAL

So......we only get a rational  whenever x  = 8   or  x  = 12   thusly

√[25 - 2(8) ] / 2  =  √9 / 2  =   3/2    which  IS rational

And

√ [25 - 2(12) ] / 2  =  √1 /2  =    1/2  which is also rational

So...remember.....any positive integer  under the radical that is not a perfect square will produce an irrational

Hope that helps  !!!

1)    We cannot take the square root of a negative number and get a real number returned

Therfore.....the quantity under the radical MUST BE ≥ 0

So....

25  - 2x ≥  0        add 2x to both sides

25 ≥ 2x              divide both sides by 2

25/2 ≥  x       which is the same as   x ≤ 25/2

Guys please help, this is due soon!

Thank you sooo much!!

The limit of what  ???

i have never been so tired and sad in my entire life.......

put in your number (I assume it is a decimal) and hit the = button....then look above the calculator display.....

omggg same thooo

Thanks, Alan! Another one to study for me. 

Oh...I see now...ths is  ONE question with four choices....the answer is the first graph....the one on the left of the first screenshot....

y={−x+3   if  x<1

2x−4   if  x≥1

Well...are you just guessing?

   I cannot tell which one it is because there is no eqaution visible to me when I open your screenshot....it got cut off !

The one on the left?

The first one is the one on the left ....what do you think the second one's answer is?

I found (for 2013) that poverty line = 12119 for a single person

   and MHI = 51939      Though I do not know if these are the values they want you to use, here is an example

first line    7.25 x 2000 = annul income = 14500     14500 - 12119 = $2381 ABOVE poverty line   14500 - 51939 = 37439 BELOW MHI

   etc

     etc   

Our teacher: "Our class average is a B-, which is phenomenal" 

shifted UP     

\(|t+2i\sqrt{3}||6-4i|=26\\~\\ |6-4i| = \sqrt{36+16} = \sqrt{52}=2\sqrt{13}\\~\\ |t+2i\sqrt{3}| = \dfrac{26}{2\sqrt{13}} = \sqrt{13}\\~\\ t^2 + 4\cdot 3 = 13\\ t=1\)

The .25 compresses

https://web2.0calc.com/questions/help-please_77248#r1

For the last two columns you will need the poverty threshold and median household income......you'll have to use what was given to you for these values or you will have to  look them up if they weren't given to you in this or another question....Sorry !  

On the left.....

the one on the right or left?