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Find five rational numbers between -3/2 and 5/3

Answer: Rational numbers are represented in p/q form where q is not equal to zero. It is also a type of real number. Any fraction with non-zero... View Article

Find five rational numbers between ¼ and ½

Answer: 7/24, 8/24, 9/24, 10/24, 11/24 Rational numbers are represented in p/q form where q is not equal to zero. It is also a type of real... View Article

Find p(0), p(1) and p(2) for the following polynomial: p(t) = 2 + t + 2t² − t³

Answer: A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s degree is the... View Article

Find p(0), p(1) and p(2) for the following polynomial: P(x) = (x−1)(x+1)

Answer: A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s degree is the... View Article

Find p(0), p(1) and p(2) for the following polynomial: p(x) = x³

Answer: A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s degree is the... View Article

Find p(0), p(1) and p(2) for the following polynomial: p(y) = y² − y + 1

Answer: A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s degree is the... View Article

Find ten rational numbers between 3/5 and ¾,

Answer: 49/80, 50/80, 51/80, 52/80, 54/80, 55/80, 56/80, 57/80, 58/80, 59/80. Rational numbers are represented in p/q form where q is not equal... View Article

Find the areas of rectangles with the following pairs of monomials as their lengths and breadths respectively. (p, q) ; (10m, 5n) ; (20x² , 5y²) ; (4x, 3x²) ; (3mn, 4np)

Answer: A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at... View Article

Find the common factors of: 10 pq, 20qr, 30 rp

Answer: 10 In Maths, common factors are defined as factors that are common to two or more numbers. A common factor is a number with which a set... View Article

Find the common factors of: 12x, 36

Answer: 12 Common factors are described as factors that are common to two or more numbers in mathematics. In other terms, a common factor is a... View Article

Find the common factors of: 14 pq, 28p²q

Answer: 14pq Common factors are described as factors that are common to two or more numbers in mathematics. In other terms, a common factor is a... View Article

Find the common factors of: 16x³, -4x² , 32x

Answer: 4x In Maths, common factors are defined as factors that are common to two or more numbers. A common factor is a number with which a set... View Article

Find the common factors of: 2x, 3x², 4

Answer: 1 Common factors are described as factors that are common to two or more numbers in mathematics. In other terms, a common factor is a... View Article

Find the common factors of: 2y, 22xy

Answer: 2y Common factors are described as factors that are common to two or more numbers in mathematics. In other terms, a common factor is a... View Article

Find the common factors of: 3x²y³, 10x³y², 6x²y²z

Answer: In Maths, common factors are defined as factors that are common to two or more numbers. A common factor is a number with which a set of... View Article

Find the common factors of: 6abc, 24ab², 12a²b

Answer: 6ab In Maths, common factors are defined as factors that are common to two or more numbers. A common factor is a number with which a set... View Article

Find the following squares by using the identities. (i) (b – 7)² (ii) (xy + 3z)² (iii) (6x² – 5y)²

Answer: Using identity (a - b) 2 = a2 + b2 - 2ab (b - 7)2 = b2 + 72 - 2 × b × 7 (b - 7)2 = b2 + 49 - 14b Using identity (a + b) 2... View Article

Find the following squares by using the identities. (i) [(2m/3) + (3n/2)]² (ii) (0.4p – 0.5q)² (iii) (2xy + 5y)²

Answer: Using identity (a + b) 2 = a2 + b2 + 2ab [(2m/3) + (3n/2)]2 = (4m2/9) + (9n2/4) + 2mn Using identity (a - b) 2 = a2 + b2 - 2ab... View Article

Find the multiplicative inverse of the following: (i) -13 (ii) -13/19 (iii) 1/5

Answer: The multiplicative inverse of a number N is represented by 1/N or N-1. It is also called reciprocal, derived from the Latin word... View Article

Find the multiplicative inverse of the following: (i) -5/8 × (-3/7) (ii) -1 × (-2/5) (iii) -1

Answer: The multiplicative inverse of a number N is represented by 1/N or N-1. It is also called reciprocal, derived from the Latin word... View Article