A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

What is the simplified form of x plus 1 over x squared plus x minus 6 ÷ x squared plus 5x plus 4 over x plus 4 ? 1 over the quantity x plus 3 times the quantity x plus 4 1 over the quantity x plus 3 times the quantity x minus 2 1 over the quantity x plus 4 times the quantity x minus 2 1 over the quantity x plus 3 times the quantity x plus 1

  • This Question is Closed
  1. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @satellite73

  2. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\frac{ x + 1 }{ x^2 + x -6 } \div \frac{ x^2 + 5x + 4 }{ x + 4 }\] @satellite73

  3. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @satellite73

  4. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    you go that right?

  5. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    nice use of the equation tool btw

  6. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i can show you another trick in using wolfram

  7. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    okay and heres the question

  8. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    simplify (12z^2 - 25z + 12)/ (3z^2 + 2z - 8)

  9. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    using the link i got (4z - 3)/(x + 2)

  10. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok i so take what you wrote, copy and paste it directly in to wolfram

  11. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yeah i did that and got (4z - 3)/(x + 2)

  12. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yeah i get that too, but of course with a z

  13. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i could also show you how to do it without wolfram, it is "factor and cancel"

  14. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh yeah typo lol sorry okay i think it'll be better without wolframe alpha in case my teacher asks

  15. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok then here is the deal do you know how to factor?

  16. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    sometimes but not really it'll be helpful if you showed me though

  17. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i don't actually, believe it or not if i wanted to factor i would cheat

  18. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    what i mean is that i have no good way to show you how

  19. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i usually use a site for factoring

  20. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    that works, of course wolfram will do that too

  21. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so in case the teacher asks, you can say something like this ;

  22. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[ (12z^2 - 25z + 12)=(4 z-3) (3 z-4)\] and \[(3z^2 + 2z - 8)= (3 z-4) (z+2)\]

  23. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so \[\frac{12z^2+25z+12}{3z^2+2z-8}=\frac{4z-3)(3z-4)}{(3z-4)(z+2)}\]

  24. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh and then you cross out (3z - 4)?

  25. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    there is a common factor top and bottom of \(3z-4\) which cancels, you get \[\frac{(4z-3)(3z-4)}{(3z-4)(z+2)}=\frac{4z-3}{z+2}\]

  26. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    exactly what you said

  27. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    that is the idea of all of these factor and cancel

  28. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    okay cool i get it now

  29. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    as to how to factor, you are pretty much on your own, but you can use wolfram to do it for sure

  30. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    okay thnx

  31. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    and you can use wolfram to give the final answer too, but once you have it factored it is easy to cancel

  32. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ill also ask someone else on os

  33. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    want to try another one ?

  34. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yeah

  35. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok i get a cup of coffee, you post

  36. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok What polynomial identity should be used to prove that 21 = 25 - 4?

  37. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    wow do you have any choices? \(21=25-4\) is simple arithmetic

  38. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    What polynomial identity should be used to prove that 21 = 25 - 4? Difference of Cubes Difference of Squares Square of Binomial Sum of Cubes

  39. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ooh ok

  40. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    25 and 4 are two squares

  41. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    then B?

  42. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[25=5^2\] and \[2^2\] so yeah B

  43. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    what a dumb retricequestion next?

  44. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thnx

  45. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    given the parent function of f(x) = x3, what change will occur when the function is changed to f(x - 3)? Shift to the right 3 units Shift to the left 3 units Shift up 3 units Shift down 3 units

  46. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    when you subtract inside the function it move is 3 units to the RIGHT

  47. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thnx

  48. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ased on the table of values below, find the slope between points where x = 1 and where x = 4. x y 1 8 3 6 4 −1

  49. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    what is the corresponding y value when x = 1?

  50. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok ok

  51. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    8

  52. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\frac{-1-8}{4-1}\] is whatyou have to compuote

  53. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i get \[\frac{-9}{3}=-3\]

  54. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thnx

  55. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yw

  56. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    how many more?

  57. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    a couple Which of the following expressions is the conjugate of a complex number with 2 as the real part and 3i as the imaginary part? 2 + 3i 2 − 3i 3i + 2 3i − 2

  58. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    the conjugate of \(a+bi\) is \(a-bi\)

  59. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so b?

  60. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    the conjugate of \(2+3i\) is \(2-3i\) that was an easy one

  61. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yeah b

  62. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    okay thnx

  63. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yw next?

  64. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Two car washers, Michelle and Nancy, are working on your car. Michelle can complete the work in 6 hours, while Nancy can complete the work in 3 hours. How many hours does the car washing take if they work together? 3 2 six eighths four thirds

  65. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    we go right to the answer (otherwise it take like forever) but remember this simple trick \[\frac{6\times 3}{6+3}\]

  66. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    got that ?

  67. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so 18/9 = 2

  68. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes

  69. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Bob and Susie wash cars for extra money over the summer. Bob's income is determined by f(x) = 6x + 13, where x is the number of hours. Susie's income is g(x) = 4x + 18. If Bob and Susie were to combine their efforts, their income would be h(x) = f(x) + g(x). Assume Bob works 3 hours. Create the function h(x) and indicate if Bob will make more money working alone or by teaming with Susie. h(x) = 2x + 5, work alone h(x) = 2x + 5, team with Susie h(x) = 10x + 31, team with Susie h(x) = 10x + 31, work alone

  70. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    see the trick? it is easy

  71. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yup

  72. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[g(x) = 4x + 18\] \[h(x)=6x+13\] \[g(x)+h(x)=4x+18+6x+13\]

  73. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    combine like terms,what do you get?

  74. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    10x + 31

  75. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok good so C or D

  76. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yup but i think its with team work so C?

  77. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    not sure if bob works 3 hours alone he makes \[f(3)=6\times 3+13=18+13=31\]

  78. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh so D

  79. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    don't jump the gun

  80. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    if they both work 3 hours they make a total of \pg(3)=10\times 3+31=61\]

  81. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh

  82. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[h(3)=10\times 3+31=61\]\]

  83. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    if he has to split it, then yes he is better off working alone

  84. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so is its C then?

  85. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i think D not really clear, but i think D

  86. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok

  87. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    next?

  88. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    What is the equation of the quadratic graph with a focus of (3, 6) and a directrix of y = 4?

  89. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    this takes a second

  90. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    k

  91. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    half way between 6 and 4 is 5, so the vertex is \((3,5)\)

  92. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    therefore it will look like \[4p(y-5)=(x-3)^2\] we need \(p\)

  93. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    the distance between 4 and 5 is 1, so p = 1 and one answer is \[4(y-5)=(x-3)^2\] now sure what your answer choices look like

  94. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    f(x) = one fourth (x − 3)2 + 1 f(x) = one fourth (x − 3)2 + 5 f(x) = −one fourth (x − 2)2 + 5 f(x) = −one fourth (x − 2)2

  95. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[4(y-5)=(x-3)^2\\ y-5=\frac{1}{4}(x-3)^2\\ y=\frac{1}{4}(x-3)^2+5\]

  96. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thnx Which of the following is a solution of x2 + 2x + 8? 4 + i times the square root of 7 −1 + i times the square root of 7 2 + i times the square root of 7 −4 + i times the square root of 7

  97. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    x^2 + 2x +8

  98. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    you want do step by step? or wolfram it?

  99. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    step by step so i can learn

  100. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok a) subtract 8 from both sides, what do you get?

  101. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    if that is not clear say so i will tell you

  102. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh note that you are starting with \[x^2+2x+8=0\]

  103. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    x^2 + 2x = 8

  104. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i meaN -8

  105. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok good

  106. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    SO X^2 + 2X = -8

  107. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[x^2+2x=8\] now what is half of 2?`

  108. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oops \[x^2+2x=-8\] what is half of two?

  109. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    1

  110. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so x^2 + x = -8/2?

  111. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    no slow

  112. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh sorry

  113. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    half of 2 is 1, so we go right to \[(x+1)^2=-8+1^2\] or \[(x+1)^2=-7\]

  114. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok

  115. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    take the square root, get \[x+1=\pm\sqrt{-7}\] or \[x+1=\pm\sqrt{7}i\]

  116. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    subtract 1, get \[x=-1\pm\sqrt{7}i\]

  117. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thnx

  118. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    What are the possible numbers of positive, negative, and complex zeros of f(x) = -3x4 - 5x3 - x2 - 8x + 4? Positive: 2 or 0; negative: 2 or 0; complex: 4 or 2 or 0 Positive: 1; negative: 3 or 1; complex: 2 or 0 Positive: 3 or 1; negative: 1; complex: 2 or 0 Positive: 4 or 2 or 0; negative: 2 or 0; complex: 4 or 2 or 0

  119. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok we do this, then i gotta split

  120. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[f f(x) = -3x^4 - 5x^3 - x^2 - 8x + 4\]

  121. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    it is a polynomial of degree 4, so it has 4 zeros for sure

  122. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    there is one change in sign of the coefficients, which is a fancy way of saying that the go "minus, minus, minus, minus , PLUS" only once change in sign therefore there is one positive zero there cannot be no positive zeros because you count down by twos

  123. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[f(x) = -3x^4 - 5x^3 - x^2 - 8x + 4\] \[f(-x) = -3x^4 + 5x^3 - x^2 + 8x + 4\]

  124. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    here there are 3 changes in sign from -3 to +5, from +5 to -1 and from -1 tp +8 so there are either 3 negative zeros, or one negative zero

  125. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    possibilities therefore are 1 positive, 3 negative (total of 4) or 1 positive, 1 negative 2 complex (total of 4)

  126. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    now i really have to bolt ask your sister how to do the rest good luck!

  127. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thnx and ok bye

  128. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    bye !

  129. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.