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**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

... 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**< 1/62 Answers · Science & Mathematics · 05/08/2020

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

... 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

...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

... 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

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

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

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

...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