k and -k right? -k x -1 =k k+k= 2 k= 1 unless you mean multiply then that would be -k x-1 =k k x k= 2 1.4142 rounded to the nearest ten thousandth
2 k^2 - k - 4 = 0 2 (k^2 - (1/2)k - 2) = 0 2 ((k - 1/4)^2 - 1/16 - 2) = 0 2 ((k - 1/4)^2 - 33/16) = 0 2 (k - 1/4 - sqrt(33)/4)(k - 1/4 + sqrt(33)/4) = 0 32 (4k - 1 - sqrt(33))(4k - 1 + sqrt(33)) = 0
k/2 -k/5 -k/6 = 2 Multply all terms by 30: 15k -6k -5k = 60 4k = 60 k = 15
Without operational signs, I'm just guessing but if k = 2, 20 + k = 22
3x2 - 3kx + k2 > 0, k = ? (a = 3, b = -3k, c = k2)The parabola opens upward (a > 0), so we have a minimum point at thevertex = (- b/2a, c - b2/4a) = (- -3k/6, k2 - (-3k)2/12) = (k/2, k2/4).Since the y-coordinate of the vertex is always a positive value, except when k = 0, then the x-coordinate could have a positive or negative value.So that, the parabola would lie above the x-axis for all values of k, except when k is zero.Thus, the equation 3x2 - 3kx + k2 > 0, for k ≠ 0.OrComplete the square:3x2 - 3kx + k2 (divide by 3 all the terms)= x2 - kx + k2/3= [x2 - kx + (k/2)2]+ k2/3 - (k/2)2= (x - k/2)2 + k2/3 - k2/4= (x - k/2)2 + k2/12So the equation (x - k/2)2 + k2/12 represents the translation of x2, k/2 units right when k > 0, or k/2 units left when k < 0, and k2/12 units up.Thus, for k ≠ 0 the given equation is always positive.
The two square roots of i are (k, k) and (-k, -k) where k = sqrt(2)/2 = 1/sqrt(2).
To find K, you would just multiply 40 by 2 to get 80. Therefore 80/2=40.
k^2 + k = k^2 + k k^2 x k = k^3
x =√k+√k+√k…… ectx² = k + xx² - x = kx² - x + (1/2)² = k + (1/2)² factorise x² - x + (1/2)²(x + 1/2)² = k + 1/4(x + 1/2)² = (4k + 1)/4x + 1/2 = ± √(4k + 1)/2x = 1/2 ± √(4k + 1)/2it obviously has to be positivex = 1/2 + √(4k + 1)/2x = (1 + √(4k + 1))/2
As y is inversely proportional to x, the equation relating x to y is given by: y = k/x where k is the constant of proportionality. Using this we can find expressions for the value of y when x = 2 and x = 6 in terms of k: x = 2 → y = k/2 x = 6 → y = k/6 The difference between these is k/2 - k/6 = 3k/6 - k/6 = 2k/6 = k/3 But this, we are told is 5; thus: k/3 = 5 → k = 15 Thus y = 15/x Now that we have found the equation relating x to y, we can plug in the value for x = 4 and find the value of y: The value for y when x = 4 is y = 15/4 = 3.75
If y varies directly as x and if x = 2 when y = 8 then k = 4.
If a line passes though (10, -3) and (2k, k) the slop of this line is 2/3. How do i find the value of k and state the new ordered pair?
k and -k right? -k x -1 =k k+k= 2 k= 1 unless you mean multiply then that would be -k x-1 =k k x k= 2 1.4142 rounded to the nearest ten thousandth
k can be 2 or -2. A binomial squared is: (a + b)² = a² + 2ab + b² Given x² - 5kx + 25 = (a + b)² = a² + 2ab + b² we find: a² = x² → a = ±x 2ab = -5kx b² = 25 → b = ±5 If we let a = x, then: 2ab = 2xb = -5kx → 2 × ±5 = -5k → k = ±2 If k = 2 then the binomial is (x - 5)² If k = -2 then the binomial is (x + 5)² To be complete if a = -x, then: If k = 2 then the binomial is (-x + 5)² If k = -2 then the binomial is (-x - 5)² which are the negatives of the binomials being squared.
Find the remainder when f(x) is divided by (x - k) ƒ(x) = 2x3 + 3x2 + 4x + 18; k = -2 (x - k) = (x - (-2)) = (x + 2) x + 2 = 0 x = -2 By Remainder Theorem ƒ(x) = 2x3 + 3x2 + 4x + 18 ƒ(-2) = 2(-2)3 + 3(-2)2 +4(-2) + 18 = 2(-8) + 3(4) + 4(-2) +18 = -16 + 12 -8 +18 = 6 Thus, the remainder is 6
(k - 1)(k + 1)(k - 2)(k + 2)
2 k^2 - k - 4 = 0 2 (k^2 - (1/2)k - 2) = 0 2 ((k - 1/4)^2 - 1/16 - 2) = 0 2 ((k - 1/4)^2 - 33/16) = 0 2 (k - 1/4 - sqrt(33)/4)(k - 1/4 + sqrt(33)/4) = 0 32 (4k - 1 - sqrt(33))(4k - 1 + sqrt(33)) = 0