Question 1
Question: Which of the following equations have x=2, y=3 as solution ? (a) 8x-y = 12 (b) 2x+3y = 10 Answer: (a) Substitute x=2, y=3 in 8x-y=12 8(2)-3=12 16-3=12 x=2, y=3 is not a solution of 8x-y=12 (b) Substitute x=2, y=3 in 2x+3y=10 2(2)+3(3)=10 4+9=10 x=2, y=3 is not a solution o..
Question: Which of the following equations have x=2, y=3 as solution ? (a) 8x-y = 12 (b) 2x+3y = 10 Answer: (a) Substitute x=2, y=3 in 8x-y=12 8(2)-3=12 16-3=12 x=2, y=3 is not a solution of 8x-y=12 (b) Substitute x=2, y=3 in 2x+3y=10 2(2)+3(3)=10 4+9=10 x=2, y=3 is not a solution o..Question 7
Question: Solve the following equation: Answer: 5(3x+5) = 2(2x-1) (by cross-multiplication) 15x-4x = -2-25 11x = -27 ..
Question: Solve the following equation: Answer: 5(3x+5) = 2(2x-1) (by cross-multiplication) 15x-4x = -2-25 11x = -27 ..More Formulae
1. a 2 + b 2 = (a + b) 2 - 2ab 2. a 2 + b 2 = (a - b) 2 + 2ab 5. (a + b) 2 = (a - b) 2 + 4ab 7. (a + b + c) 2 = a 2 + b 2 + c 2 + 2 (ab + bc + ca) 8. (a + b) 3 = a 3 + 3a 2 b + 3ab 2 + b 3 = a 3 + b 3 + 3ab (a + b) 9. (a - b) 3 = a 3 - 3a 2 b + 3ab 2 - b 3 = a 3 - b 3 ..
1. a 2 + b 2 = (a + b) 2 - 2ab 2. a 2 + b 2 = (a - b) 2 + 2ab 5. (a + b) 2 = (a - b) 2 + 4ab 7. (a + b + c) 2 = a 2 + b 2 + c 2 + 2 (ab + bc + ca) 8. (a + b) 3 = a 3 + 3a 2 b + 3ab 2 + b 3 = a 3 + b 3 + 3ab (a + b) 9. (a - b) 3 = a 3 - 3a 2 b + 3ab 2 - b 3 = a 3 - b 3 ..Second Method:
x 2 - 7x - 8x + 56 Write -15x as -7x and -8x = x (x - 7) - 8 (x - 7) = (x - 7) (x - 8) Now, we consider a case where the third term of the trinomial is negative. Resolve into factors: x 2 + 3x - 28 Since the third term of the trinomial is -28, find two factors of 28 which differ by 3. The gr..
x 2 - 7x - 8x + 56 Write -15x as -7x and -8x = x (x - 7) - 8 (x - 7) = (x - 7) (x - 8) Now, we consider a case where the third term of the trinomial is negative. Resolve into factors: x 2 + 3x - 28 Since the third term of the trinomial is -28, find two factors of 28 which differ by 3. The gr..Formula
A formula is formed by using: (a) mathematical symbols and variables (b) given conditions, and (c) simplificatio..
(ii) Cartesian graph
{(1, 1), (2, 2). (3, 3), (4, 4)}..
{(1, 1), (2, 2). (3, 3), (4, 4)}..Range
The set of all the second elements of the ordered pairs of a function is called the rang..
Test for Functions (Summary)
The relation should be one-one or many-one, and Every first element is mapped which means that every pre-image should have an imag..
2. Many-one function
There is many-one correspondence between the elements of the set A and the set B..
There is many-one correspondence between the elements of the set A and the set B..See what our Users say :
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