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Identify the following terms as like or ...

Identify the following terms as like or unlike.
(a) 3x, 3y (b) 7k, 3k (c) 2p, 2pt

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A random, variable X has the following probability distribution: X : 0 1 2 3 4 5 6 7 P(X):0 k 2k 2k 3k k^2 2k^2 7k^2+k Find each of the following: i. k ii. P(X<6) iii. P(Xgeq6) iv. P(0< X < 5)

(i) For which values of a and b does the following pair of linear equations have an infinite number of solutions? 2x+3y=7 (a b)x+(a+b)y=3a+b 2 (ii) For which value of k will the following pair of linear equations have no solution? 3x + y = 1 (2k – 1) x + (k – 1) y = 2k + 1

Knowledge Check

  • Which of the following pairs is/are like terms? (A) x, (B) x^(2) , ( C) 3x^(3) , (D) 4x^(3)

    A
    A,B
    B
    B,C
    C
    C,D
    D
    A,C

  • Which of the following pairs is/are like terms ? (A) x " " (B) x^(2) (C) 3x^(3) " " (D) 4x^(3)

    A
    A, B
    B
    B , C
    C
    C , D
    D
    A , C

  • Find the value of k for which the following two lines are coincident. 2x+3y=4 (k+2)x+6y=3k+2

    A
    `k!=2`
    B
    `k=2`
    C
    `k=-2`
    D
    `k!= -2`

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    A random variable X has the following probability distribution: I 0 1 2 3 4 5 6 7 P\ (X) 0 K 2K 2K 3K K^2 2K^2\ 7K^2+K Determine: (i) K (ii) P(X 6) (iv) P (0 < X < 3)

    (i) For which values of a and b does the following pair of linear equations have an infinite number of solutions? 2x + 3y = 7 (a - b)x + (a + b)y = 3a + b - 2 (ii) For which value of k will the following pair of linear equations have no solution? 3x + y = 1 (2k - 1)x + (k - 1)y = 2k + 1

    Find the values of k for which the following equations have an infinite number of solutions: 2x + 3y =7 , (k-1)x+(k+2)y=3k

    Let S be a sequence of the form [K(1),K(2), ...K(m)]. Each term can be defined by the following four functions : P[K(x)] = 3Q[k(x)]-4 Q[K(x)] = 2R[K(x)]+R[K(2x)] R[K(x)] = S[K(2x)]-S[K(x)] S[K(x)] = {(0,if,x, lt ,0),(3x,+4,if,0, le,x, le,6),(4x,+3,if,x, gt, 6):} Also if Q[K(x)] = y then PQ[K(x)] = P[K(y)] What is the value of P[K(3)]?

    Let S be a sequence of the form [K(1),K(2), ...K(m)]. Each term can be defined by the following four functions : P[K(x)] = 3Q[k(x)]-4 Q[K(x)] = 2R[K(x)]+R[K(2x)] R[K(x)] = S[K(2x)]-S[K(x)] S[K(x)] = {(0,if,x, lt ,0),(3x,+4,if,0, le,x, le,6),(4x,+3,if,x, gt, 6):} Also if Q[K(x)] = y then PQ[K(x)] = P[K(y)] What is the value of QRS[K(1)] :

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