10. Fill in the blanks so as to make the statement true: (i) A number which can be expressed in the form m/n, where m and n are
integers and n is not equal to zero, is called a .
(ii) If the integers m and n have no common divisor other than 1 and n is
positive, then the rational number m/n is said to be in the .
(iii) Two rational numbers are said to be equal, if they have the same
form.
(iv) If m is a common divisor of x and y, then x/y = (x ÷ k)/
(v) lf p and q are positive integers , then m/n is a rational
number and m/-n is a rational number.
(vi) The standard form of -1 is .
(vii) If m/n is a rational number, then n cannot be
(viii) Two rational numbers with different numerators are equal, if their
numerators are in the same as their denominators.

Step-by-step explanation:

(I) A number which can be expressed in the form m/n, where m and n are integers and n is not equal to zero, is called a Rational Number .

(ii) If the integers m and n have no common divisor other than 1 and n is positive, then the rational number m/n is said to be in the Simplest form .

(iii) Two rational numbers are said to be equal, if they have the same Simplest form .

(iv) If m is a common divisor of x and y, then x/y = (x ÷ k)/( y ÷ k) .

(v) The standard form of -1 is -1/1

(vi) If m/n is a rational number, then n cannot be 0

(vii) Two rational numbers with different numerators are equal, if their numerators are in the same ratio as their denominators.

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1