Mathematics

Geometric sequencing question

I am lost as to how to get there work-wise. Could someone show me step by step? Thanks! For a geometic sequence, let a3 = (1/9) and a6 = -3 Find: r, a1-a6/a3 = r^3 -27 = r^3 r = -3 a1 r^2 = a3 a1 =

How would you solve this algebraic problem

Like there woukd be a question and it would say factor 16a^4 - 15a^4 how would you factor it?? I understand how factoring is used in the quadratic equations, but how would you solve a problem like thi

Differentiate y = e^x * [C sin (2x) + D cos (2x)] twice

Hi, I am trying to solve a differential equation, and I have already obtained the complementary function but I am trying to find the particular integral, how would I differentiate the above equation t

Simplify ((1/x)-(1/a))/(x-a)

((1/x)-(1/a))/(x-a) =(1-(1/a)(x))/(x-a) =(1- (x/a))/(x-a) =(a-x)(x-a) = (-x + a)/ (x - a) I know the answer is -1/ax, but how do I get there?-= (1/x - 1/a) / (x - a) = (a/ax - x/ax) / (x - a) = (a - x

Jake is ordering a flower arrangement. The florist has 15 types of flowers. How many different flower

arrangements are possible if Jake can choose 4 different types of flowers for the arrangement? Please help me with this math problem. Im not exactly how to solve this.-In a simple choice flow: The

Polynomials factorization Question? 10 points for informative answer!

Hello Experts, I am given the polynomial f(x) = x^4 + p^2 where p is a prime number>2. f(x) is a polynomial in the Z[x] ring (polynomials above integers). Using the linear factorization of f(x) in t

Please check my answer. Volume of a triangle prism.

Please double check my answer.Its for a very important mark. Calculate the volume of the triangle prism forming the roof in m3. The height of the triangle is 1.5.Length is 8 meters.The base is 6 met

Isomorphism of rings question? 10 pts for informative answer!

Hello Experts, How do I prove that the kernel of phi: Z[sqrt(3)] -------> Z_11 is the ideal generated by: Please give a step by step answer.-How are you defining phi? Once this is clear, then I s

Points on a surface closest to the origin

Finding the points on a surface x^2= 9 + yz closest to the origin.I have no idea how to go about this but it is a review question for a test tomorrow, so any help would be appreciated.-min { √ ( (9 +

STATISTICS HELLP PLEASE

Question: The weight of adult wombats at a park are estimated to be normally distributed with mean 30KG and Standard deviation 5kg. A random sample of 200 adult wombats were taken from this population

Write the expanded form of the following equations...

(x-3)^2 (3x-1)^2-(x - 3)^2 ---------(a – b)² = a² – 2ab + b² = (x)² – 2(x)(3) + (–3)² = x² – 6x + 9 (3x - 1)^2 = (3x)² – 2(3x)(1) + (–1)² = 9x² – 6x + 1 ------(x - 3)^2 = x^2 - 6x + 9 (3x - 1)^2 = 9x

Few questions about Pre Calc

So Im taking this practice test and there are only a few questions left. I dont really understand them, so if you could help me out to the best of your knowledge, that would be great. http://oi52.tin

Can someone help with math homework

Solve the following system for x and y. 2x - 8y = 28 4x+ 5y = -7-Let 2x - 8y = 28 be equation 1 and 4x + 5y = -7 be equation 2 Now,by multiplying equation 1 by 2,we get 4x - 16y = 56.Let it be equat

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find the common factor of all the terms of the polynomial: 8x-24-8-since 8 and 24 are both divisible by 8 8 is the GCF. The 24 doesnt have an x in common so it is as simple as 8. If it were 8x^2-24x t

Solve by completing the square

x^2 + 4x = 12-X^2 + 4X = 12 X^2 + 4X + 4 = 16 (X + 2)^2 = 16 x + 2 = +-4 x = 2 or x = - 6