Mathematics

Composition of functions; what is the domain

f(x)= x/x+1 and g(x)= 1/x-2 Find the domain of f(g(x)) Is this right? :s f(g(x))= 1/x-1 Domain of g(x)= (-inf, 2) U (2, +inf) Domain of f(x)= (-inf, -1) U (-1, +inf) Therefore g(x) cannot be -1 I

What is the number from 100 to 1000 which can be divisible 2,3,4,5,6,7,8 and 9 and have a reminder of 1

There is none. First factorize the numbers 2 to 9 into primes.Now work with the highest power of the primes 2, 3, 5 and 7 in those factorizations to solve x = 1 mod 8, x = 1 mod 9, x = 1 mod 5 and x

How to solve this problem, if sin x - cos x = p, what is the value of sin 2x in p

I am clueless of this problem except sin 2x = 2sinx.cosx, but how to continue?-Since sin x - cos x = p, squaring both sides yields (sin x - cos x)^2 = p^2 ==> sin^2(x) + cos^2(x) - 2 sin x cos x = p^2

Integral 8dx/ (x^3-x^2)

please explain your process-integral 8/(x^3-x^2) dx = 8 (1/x+log(1-x)-log(x))+constant you must use partial fractions. for more info see http://www.wolframalpha.com/input/?i=int(++8dx%2F(x^3-x^2))-1

Markov chain hard question

At the start of each month, Microsoft classifies Xbox Live users either as Gold, Silver or Bronze members. Gold members have a 70% chance of staying a Gold member, and can never become Bronze members

Help with question dealing with polygons

Ive tried searching the web for answers to this, but I could never really find a site which explained questions like the following : Find the number of sides of a regular polygon given that each inter

Decompose the function into partial fractions

(3x + 5) / (x² - 7x + 12) thank you so much.-(3x+5)/(x²-7x+12) = (3x+5)/((x-3)(x-4)) = A/(x-3) + B/(x-4) first multiply everything by x-3 so (3x+5)/(x-4) = A + B(x-3)/(x-4) substitute x with 3 A = -1

Help with 3 Algebra questions:)

1) A Coffee table has a length which is three times its width,and a perimeter of 12ft.Describe this situation as a system of two equations using the variables L=length and W=width. Show your work. 2)

Prove that P(n) = n!< (n^n) for n>1

I got stuck... This is what I have so far a) show p(2) is true 2! 2 b) so my inductive hypothesis is as follows m!1 c) We need to prove p(m+1) (m+1)!1 now I think this is next: (m+1)! + (m+2)!

Prove the following inequality

(1/(2^2))+(1/(3^2))+(1/(4^2))+...+(1/(20… Thanks.-see my answer to angela on page 1 or 2 of my answers

They had 57 boxes on the shelf in 2 mins after 5 they had 117 boxes on the shelf.

How many boxes were on the shelves when he started?-117 -57 = 60 60 boxes in 3 minutes so 20 boxes in 1 minute so in 2 minutes = 40 boxes 57 -40 = 17 boxes ANSWER-everything starts at zero....-may

Is Precalculus that necessary of a course

People in my sisters school are even allowed to skip Precalc if they do really well in Alg2/Trig. Im in Precalc right now, and all the stuff were doing seems to be stuff we did last year in Alg2/Tri

Algebra 2 problem help

Solve for the variable using slope formula: (9,X) (2,3)slope = 3. Thank youuuuuuu (:-The slope m of the line containing the points (x1,y1) and (x2,y2) is given by m = (y2 - y1) / (x2 - x1). In this

Geometry Proof Question... Help!

Angle ABC and angle CBD are congruent and adjacent angles. Measure of angle ABD equals 160. Find another measure that is possible for ABC that is not 80. Thank you!-(360-160)/2 = 100. It does not sa

Algebra help real quick question

for -1/(x+2)(2i⁄x+2)(x+2 all being underneath the root) How does it equal to-1/2(x+2)^(3/2) when your taking out the radical i understand you take (1/2) i think to square it out but in this question