Question 3
Question: Solve the following equation: 7x+5=3x-25 Answer: ..
Question: Solve the following equation: 7x+5=3x-25 Answer: ..Question 9
Question: Solve the following equation: Answer: 4x + 7 = -3 (2x + 1) (By cross-multiplication) 4x+7=-6x-3 4x+6x=-3-7 10x=-10 x=-..
Question: Solve the following equation: Answer: 4x + 7 = -3 (2x + 1) (By cross-multiplication) 4x+7=-6x-3 4x+6x=-3-7 10x=-10 x=-..Trinomials Multiplication
Multiplication of trinomials are done by distributive method by multiplying terms and combining group like terms and combining th..
Methods of Factorisation
(i) Common factors (ii) By expressing as difference of squares (iii) By grouping (iv) Trinomials (v) Sum or difference of cub..
Second Method:
x 2 + 8x + 15 = x 2 + 5x + 3x + 15 (after noticing that 5 + 3 = 8 and 5 3 = 15) = x(x +5) + 3(x + 5) = (x + 5) (x + 3) Resolve into factors: x 2 - 15x + 56 x 2 - 15x + 56 Take factors of 56 having their sum = -15 They are -8, -7. \ x 2 - 15x + 56 = x 2 - 7x - 8x + 56 \ x 2 - 15x +..
x 2 + 8x + 15 = x 2 + 5x + 3x + 15 (after noticing that 5 + 3 = 8 and 5 3 = 15) = x(x +5) + 3(x + 5) = (x + 5) (x + 3) Resolve into factors: x 2 - 15x + 56 x 2 - 15x + 56 Take factors of 56 having their sum = -15 They are -8, -7. \ x 2 - 15x + 56 = x 2 - 7x - 8x + 56 \ x 2 - 15x +..Framing of Formulae
We use alphabets like x, y, z etc., to denote variables. For example the length of a rectangle is denoted by 'l'. It takes different values in different rectangles. A formula is a relation between different variables formed using mathematical symbols. Any given condition can be translated into a ..
(i) An arrow diagram
R = {(1, 1), (2, 3), (4, 6)}..
R = {(1, 1), (2, 3), (4, 6)}..Summary
A function is a relation on A x B is which (i) no two second elements have a common first element. (ii) every first element has a corresponding second element...
Example:
Discuss the continuity of the function f given by f(x) = |x - 1| + |x - 2| at ..
Note 5:
Composition of two continuous functions is continuou..
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