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  1. coyazayo

    Graphs

    Helloo to everyone reading this thread. Have some questions about graphs I would like to pose. 1. Express hyperobla y=-(3-x)/(2x-1) in the form y=a/x-h +k 2. consider the equation of the hyperbola x=b-cy/y-a. Express the equation in the form of y=a/x-h +k 3. Consider the equations of the...
  2. coyazayo

    logs & algebra

    Hi to everyone reading this thread. I need help with these questions. Like always thankssss :) 1. Determine the number of solutions to the equation: (1/2)^(x-1) -1 -log1/2(x)=0 Prove that the solution to the equation is between x=14/10 and x=15/10 2.If x^2-x-1=0, find the exact value...
  3. coyazayo

    Polynomials 2

    Hai ya everyone reading this thread. As always thanks in advance :) The cubic equation x³+px²+qx+30=0, where p and q are rational numbers, has one root x=1+√2 i) Find the other roots of the equation ii) Hence, or otherwise, find the values of p and q
  4. coyazayo

    Polynomials

    Hey guys reading this thread. As always thanks in advance! :) A) Find the remainder when x^100 is divided by (x-1)(x-2) leave answer in index form B) Find the remainder when x^100-4x^98+5x+ is divided by x^3-2x^2-x+2
  5. coyazayo

    Absolute Valued Equations :0

    Thanks!
  6. coyazayo

    Nice guy who has a flair in mathematics. Top Stuff IG!

    Nice guy who has a flair in mathematics. Top Stuff IG!
  7. coyazayo

    Absolute Valued Equations :0

    Hi everyone reading this post. I have a question in relation with abs equations. Thanks in advance!! :) Consider the following equation |x^2-4x-5 |=k 1.Find the set of real values of k when it has 2 solutions 2.Find the set of real values of k when it has 3 solutions 3.Find the set...
  8. coyazayo

    Simulatenous Equation :0

    Yes!!! I got that. :)
  9. coyazayo

    Simulatenous Equation :0

    I'm confused -_-.... Is it just my calculation or if you factorised out x-y it would just leave x-y+2x+2y
  10. coyazayo

    Simulatenous Equation :0

    Hi wouldn't (x-y+2x+2y)=3x+y instead of 3x+3y?
  11. coyazayo

    Simulatenous Equation :0

    Hi everyone reading this thread. I need help with these questions. Q1. Solve; 3x^2-2xy-y^2=0...1 x^2+y^2=10...2 Q2. Solve; x^2-xy+y^2=9...1 2x^2-xy=0...2
  12. coyazayo

    Quadratics

    Hello again to everyone reading this post. Well I came across the question which I cant solve. Pls help :( Given the quadratic equation (k+3)x^2+(6-2k)x+k-1=0 Find the values of k for which this equation will have one root six times the other Thanks in advance!! :')
  13. coyazayo

    Trigonometric Graphs

    Hi i was just graphing trigonometric functions when I came across a cosine function with a period of 3pi. I also came across another cosine function with a period of 2pi/3. So my question is: how do you exactly graph theses? Functions with period of 2pi, pi etc... are real easy but these I...
  14. coyazayo

    Year 11 selective entrance test

    For North Sydney Boys, the test is divided up into 3 sections (from previous experience). There is maths, English (analysing), and writing. For english, the writing topic as well as the comprehension is based around a theme. Mathematics is quite challenging however if you thoroughly understood...
  15. coyazayo

    Abs Graphing

    Hi to everyone reading this thread. I was wondering what the graphss would look like or the following: 1. y=(|x|)^3+1 2. y=|x^3+1| 3.|y|=x^3+1
  16. coyazayo

    Another algebra challenge :(

    Hi everyone just stuck on thesr Qs Q.1: Given that x^2+x-1=0 find the exact value of x^5-5x Q2.Given that x=(√2 +1)^1/3-(√2 -1)^1/3, find the exact value of x^3+3x-1 Q3.a, b, c,d are the positive real numbers when a>b>c>d. Given that bcd=a/9, acd=b, abd=9c/4 and abc=4d. Find the value of...
  17. coyazayo

    algebra troubles :(

    2 Qs that i need help with. Thank you in advance! :) Q1. Factorise:x^2+4y^2+x+2y-5xy-2 Q2. Factorise ab(a-b)+bc(b-c)+ca(c-a)
  18. coyazayo

    need help with abs. inequalitiy

    Q.:solve: |2x-6|<x+3
  19. coyazayo

    Log Help 2

    Hi i got another log questions i need help with. Help will be greatly appreciated. Ty :) Q1:Positive integers A,B,and C, with no common factor greater than 1, exists such that Alog(base200)5+Blog(base200)2=C What is A+B+C? Q2: If 11.2^x=1000 0.112^x=?
  20. coyazayo

    Log Help

    Ty for help
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