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chronicle

  • 2 years ago

│x – 5│ = 3 a. x = 8 and x = 2 b. x = 8 and x = –2 c. x = 8 d. x = 2

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  1. seidi.yamauti
    • 2 years ago
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    if |x-5| >0 , then x-5=3 if |x-5| <0, then -x-(-5)=3; -x+5=3

  2. seidi.yamauti
    • 2 years ago
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    since x is a variable, you can't say |x-5| is > or < than 0, so you must consider both cases (unless the question tells you if it is < or >)

  3. chronicle
    • 2 years ago
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    d?

  4. seidi.yamauti
    • 2 years ago
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    not d

  5. chronicle
    • 2 years ago
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    ohh a?

  6. seidi.yamauti
    • 2 years ago
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    haha right. It's a

  7. chronicle
    • 2 years ago
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  8. seidi.yamauti
    • 2 years ago
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    linear function means the graph will be a straight line so, if you take the same deltax for diferent x's, there should be the same deltay in both cases I guess it's a bit confuse - sorry I can't explain the right way cause my english is poor...

  9. seidi.yamauti
    • 2 years ago
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    like if you pick up x1=1, y1=1 & x2=2, y2=-3 for any other deltax = x2-x1 = 1, there should be the same deltay = y2=y1 = -4

  10. chronicle
    • 2 years ago
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    i suppose its not ?

  11. seidi.yamauti
    • 2 years ago
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    it is! plot the graph and you will see. Every point (x,y) is in an unique line

  12. chronicle
    • 2 years ago
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    oooh haha thanks

  13. seidi.yamauti
    • 2 years ago
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    |dw:1358481474606:dw|

  14. chronicle
    • 2 years ago
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    Tell whether the sequence is arithmetic. If it is, what is the common difference? –12, –7, –2, 3, . . . (1 point) yes; 5 yes; 8 yes; 3 no

  15. seidi.yamauti
    • 2 years ago
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    and you can even write the function, which is y=5-4x

  16. chronicle
    • 2 years ago
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    that one is yes; 5 ?

  17. seidi.yamauti
    • 2 years ago
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    right

  18. chronicle
    • 2 years ago
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    For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation. x y 3 6 6 18 8 24 (1 point) yes; y = 2x yes; y = 3x yes; y = 4x no; y does not vary directly with x

  19. chronicle
    • 2 years ago
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    d?

  20. seidi.yamauti
    • 2 years ago
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    in this case, any member of the sequence is given by An= -12 + 5n

  21. seidi.yamauti
    • 2 years ago
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    hahaha, calm down!

  22. chronicle
    • 2 years ago
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    haha mybad

  23. seidi.yamauti
    • 2 years ago
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    well, that's the same as the other

  24. seidi.yamauti
    • 2 years ago
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    actually, it is yes

  25. chronicle
    • 2 years ago
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    The table shows the height of a tree as it grows. What equation in slope-intercept form gives the tree's height at any time? Time (months) Height (inches) 2 14 4 23 6 32 8 41 y = 9x + 2 y = 9/2x + 5 y = 9/2x y = 5x + 9/2

  26. seidi.yamauti
    • 2 years ago
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    (by the way, the previous one is d, sorry)

  27. chronicle
    • 2 years ago
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    i know, thank you

  28. seidi.yamauti
    • 2 years ago
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    you need to find the slope which is deltay/deltax

  29. seidi.yamauti
    • 2 years ago
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    y=ax+b a is the slope once you find it, just put any value for y from the tableand you get b

  30. chronicle
    • 2 years ago
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    Write y = –2/5x – 3 in standard form using integers. 2x + 5y = –15 2x + y = –3 2x + 5y = –3 x + y = –15

  31. seidi.yamauti
    • 2 years ago
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    it is (-2/5)x , right?

  32. chronicle
    • 2 years ago
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    yep

  33. seidi.yamauti
    • 2 years ago
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    just multiply everything by 5

  34. chronicle
    • 2 years ago
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    c?

  35. chronicle
    • 2 years ago
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    no a ! haha

  36. seidi.yamauti
    • 2 years ago
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    yes

  37. chronicle
    • 2 years ago
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    thanks your helping so much

  38. chronicle
    • 2 years ago
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    Write the equation of a line that is perpendicular to the given line and that passes through the given point. y = –1/3x + 5; (4, 3) y = –3x + 15 y = 3x – 9 y = –4x + 3 y = –1/3x – 11

  39. seidi.yamauti
    • 2 years ago
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    you're welcome :)

  40. seidi.yamauti
    • 2 years ago
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    aaaaaa, I forgot the rule

  41. seidi.yamauti
    • 2 years ago
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    to be perpendicular, the multiplication of the slopes' values must be -1, is it right?

  42. seidi.yamauti
    • 2 years ago
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    the equation you need to find is y=ax+b a.(-1/3) = ? then substitute (4;3)

  43. seidi.yamauti
    • 2 years ago
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    ah, the slope2 of a perpendicular line is -1/slope1

  44. seidi.yamauti
    • 2 years ago
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    a1 the slope of a line a2 the slope of a perpendicular line then a2= -1/a1 or a1.a2=-1

  45. chronicle
    • 2 years ago
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    hmm C?

  46. seidi.yamauti
    • 2 years ago
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    yes

  47. chronicle
    • 2 years ago
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    What is the solution of the system? y = x – 14 y = –4x + 11 (5, –9) 1 over 5 and – (69 over 5) 5 over 3 and – (37 over 3) – (3 over 5) and – (73 over 5)

  48. seidi.yamauti
    • 2 years ago
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    subtracting the first by the second, you have 0=5x-25 this gives you x=5

  49. seidi.yamauti
    • 2 years ago
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    substitue x in any of the equations and you find y

  50. chronicle
    • 2 years ago
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    im confused

  51. chronicle
    • 2 years ago
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    idk where 0=5x-25 is from :/

  52. seidi.yamauti
    • 2 years ago
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    y=x-14 y=-4x+11 (minus) _____________ 0=x-(-4x)-14-11

  53. seidi.yamauti
    • 2 years ago
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    or since y=y, then x-14=-4x+11

  54. chronicle
    • 2 years ago
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    d?

  55. seidi.yamauti
    • 2 years ago
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    no, it's a, the simplest

  56. chronicle
    • 2 years ago
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    ohh lol

  57. seidi.yamauti
    • 2 years ago
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    haha

  58. chronicle
    • 2 years ago
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    Bradley and Ryan are having a contest to see who can collect the most bumper stickers. Bradley started with 23 bumper stickers and plans to add 4 each month. Ryan has 9 bumper stickers and plans to add 6 each month. After how many months will they have the same number of bumper stickers? (1 point) 10 months 2 months 7 months 51 months

  59. seidi.yamauti
    • 2 years ago
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    a way to solve it is writing the equations of stickers collected by each of them

  60. seidi.yamauti
    • 2 years ago
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    being m = months, then Bradley: Stickers=23+4m Ryan: Stickers=9+6m

  61. seidi.yamauti
    • 2 years ago
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    it means BRadley has 23 stickers and owns 4more each month and Ryan has 9 stickers and owns 6 more each month

  62. chronicle
    • 2 years ago
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    b.2 months?

  63. seidi.yamauti
    • 2 years ago
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    it is the same as the previous, and you can just write y=23+4x y=9+6x you want to know x

  64. seidi.yamauti
    • 2 years ago
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    not b

  65. chronicle
    • 2 years ago
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    hmm

  66. seidi.yamauti
    • 2 years ago
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    in this case, you don't want to know y

  67. seidi.yamauti
    • 2 years ago
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    either, you could substitute the options in the formulas and see if they give the same number

  68. chronicle
    • 2 years ago
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    i dont know :(

  69. seidi.yamauti
    • 2 years ago
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    Sure you know! Bradley: [number of stickers]=23+4x Ryan: [number of stickers]=9+6x

  70. seidi.yamauti
    • 2 years ago
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    if you call number of stickers as 'y' then you see that y MUST be the same in both equations

  71. seidi.yamauti
    • 2 years ago
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    and so the right hand sides of the equations

  72. seidi.yamauti
    • 2 years ago
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    so 23+4x=9+6x and you just need to find x

  73. seidi.yamauti
    • 2 years ago
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    the secret in this question is to transform words in equations, once you done that, you solve matematicaly (?)

  74. chronicle
    • 2 years ago
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    7months!

  75. seidi.yamauti
    • 2 years ago
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    yes! haha

  76. chronicle
    • 2 years ago
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    haha thank you thank you

  77. seidi.yamauti
    • 2 years ago
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    oh well, there's any other problem? I must go soon :P

  78. chronicle
    • 2 years ago
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    k last one How many solutions does the system have? 12y = –3x + 20 y = –1/4x + 5/3 (1 point) one two infinite none i think its infinite?

  79. seidi.yamauti
    • 2 years ago
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    let's see

  80. seidi.yamauti
    • 2 years ago
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    You are right

  81. seidi.yamauti
    • 2 years ago
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    but look at the system and you will see one is the same as the other

  82. seidi.yamauti
    • 2 years ago
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    one equation is the same as the other

  83. seidi.yamauti
    • 2 years ago
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    so you can't find just one value for (x,y) any x value gives an right y value

  84. seidi.yamauti
    • 2 years ago
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    multiply the second by 12, and you will end up with 2 equal equations

  85. chronicle
    • 2 years ago
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    oohh so its B?

  86. seidi.yamauti
    • 2 years ago
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    no, it is infinite, as you said

  87. chronicle
    • 2 years ago
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    i see

  88. seidi.yamauti
    • 2 years ago
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    you have 1 equation and 2 variables

  89. seidi.yamauti
    • 2 years ago
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    any given value of x will result in a y or any y will result in a x

  90. seidi.yamauti
    • 2 years ago
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    all of then right

  91. chronicle
    • 2 years ago
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    What is the slope of the line that passes through the pair of points? (5, 7), (2, 1) 8/7 2 –8/7 1/2

  92. seidi.yamauti
    • 2 years ago
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    deltay/deltax

  93. chronicle
    • 2 years ago
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    i still have to graph some questions but i will let you know

  94. seidi.yamauti
    • 2 years ago
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    if you are not in a hurry, i can answer as soon as i come back

  95. chronicle
    • 2 years ago
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    k im not in a hurry

  96. seidi.yamauti
    • 2 years ago
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    (7-1)/(2-5) or (1-7)/(5-2) You just need to use the correspondent positions to x's and y's values

  97. seidi.yamauti
    • 2 years ago
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    like (y2-y1)/(x2-x1) or (y1-y2)/(x1-x2) but not (y2-y1)/(x1-x2) or (y1-y2)/(x2-x1)

  98. seidi.yamauti
    • 2 years ago
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    any other question, message me :) bye!

  99. chronicle
    • 2 years ago
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    thank u

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