Imcool

I agree with guest. Your works looks about right, I would check 0 if it is an answer, im not that advanced, i honestly dont know if and endpoint could be a point of inflection, sorry!

Okay so first some definitions

Geometric sequence and common ratio. A geometric sequence a sequence where the next number is the previous number multiplied by the same number as in the whole seequence a.k.a a common ratio.

equation:

 \(\frac{150+c}{120+c}=\frac{120+c}{60+c}=x\)

\(\)

okay so we want to find  what x is.

solve: find common denominators

\(9000+210c+c^2 = 14400+240c+c^2\)

\(30c=-5400\) , so\(c=-180\). 

Now we get x = 1/2 \(so\) yeah

TO CHECK: 

plug x back in to the equations to that it is correct! I hope you got it so the common ratio is \(\boxed{1/2}\) 

Please provide more explanation please

Note that E = 3*2^(1/2)----->4.2 

4.2 is APPROXIMATE

Hello Guest!

Arrange the following numbers in increasing order (smallest first, biggest last):

A = 2*1/2*4*1/6

B = 12*128

C = 1*8*1/5^2

D = 4*(-1)/2*(-1)*8*(-1)

E = 3*2^(1/2)*4*1/4

Alright!So lets solve all of them!

A = 2/3 -----> 0.6666

B = 1536------> 1536

C = 8/25-----> 0.04

D = -1/4----->-0.25

E = 3*2^(1/2)----->4.2

so our answer is D,C,A,E,B

here is the answer to this problem.Thank you @Asinus for clarifying on my answer

Ahh i see... thank you for clarifying, i understand perfectly now

Hello Guest! Hor are you? REspond please!

Hello! I managed to do it but my method was very messy. It involved some calculus, mostly geometry, but since im not that good at math, my page looked like a 3 year old had scribbled on it for 5 years after i got 6 as my answer!

There are lots of gaps in your question where LaTeX should have been. If this question is on alcumus, click on the LaTeX and copy paste it in, thank you!