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  1. ... c )(x + d/ c ) - (a/ c )(d/ c ) + b/ c )/(x + d/ c ) = a/ c + (b/ c - ad/ c ^2)/(x + d/ c ) = a/ c + K /(x + d/ c ) ( K = b/ c - ad/ c ^2 is a constant.) Case2-1. K ...

    3 Answers · Science & Mathematics · 15/12/2020

  2. ... by b^2 - 4ac. In your case, we have: a = 6 b = -2 c = k Hence the discriminant is (-2)^2 - 4(6)( k ) = 4 - 24k...change due to division by a negative number). Final answer: k < 1/6

    2 Answers · Science & Mathematics · 05/08/2020

  3. 1.  y = k /x    a.  x>>>0 ---  y becomes increasingly large ... 0 then the right branch goes to pos. infinity     c .  vert. asymptote is the y axis  ---  x = 0   . . . . horiz. asymptote is...

    1 Answers · Science & Mathematics · 19/11/2020

  4. ... in standard form, //              f(x) = ax²+bx+ c //     its vertex will be at (x,y) = (-b/2a, f(-b/2a... in vertex form, //              y = a(x-h)² + k //     where the vertex is (h, k ) // To convert between...

    4 Answers · Science & Mathematics · 09/09/2020

  5. ...4d 396 = 4d 99 = d -4c + d = -57 -4c + 99 = -57 99 + 57 = 4c 156 = 4c 39 = c -4b + c = -45 -4b + 39 = -45 39 + 45 = 4b 84 = 4b 21 = b -4a + b = 9 -4a + 21 = 9 21 - 9 = 4a 12 = 4a 3 = a a = k 3 = k

    3 Answers · Science & Mathematics · 17/07/2020

  6. ... gives:    (y^2) / 2 = (x^3) / 3 - x + C    Multiplying through by 6 gives (with a new constant of integration, K ):     3y^2 = 2x^3 - 6x + K     Plugging in f(2) = 1 and...

    2 Answers · Science & Mathematics · 04/06/2020

  7. General cosine function is given by y = A cos(B+ C )+D A = amplitude = (max temperature - min temperature)/2 = (25.9 - (-4.8))/2...

    1 Answers · Science & Mathematics · 07/01/2021

  8. Neither side of the equation would be real for any x equal to k π for any integer k , so I suppose those would be among the non-permissible ...

    1 Answers · Science & Mathematics · 25/06/2020

  9. b) y = -4x² - 32x - 11 so, y = -4(x² + 8x) - 11 i.e. y = -4(x + 4)² - 11 + 64 Hence, y = -4(x + 4)² + 53 The curve will have a maximum points because the coefficient of x² is negative...i.e.  ∩ shaped This occurs when x = -4...

    2 Answers · Science & Mathematics · 09/09/2020

  10. ...a(t) is the population at time "t" a is the initial population k is the growth (or decay) rate t is the time. We are ...

    1 Answers · Science & Mathematics · 25/09/2020

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