Subject: Mathematics
Book: Maths Mastery
Direct variation follows y = kx, where y changes proportionally with x (e.g., doubling x doubles y). Inverse variation follows y = k/x, implying that multiplying x by a factor divides y by the same factor. For instance, if y ∝ x, you might have y = 3x; doubling x from 2 to 4 changes y from 6 to 12. Conversely, if y ∝ 1/x, and x changes from 2 to 4, y becomes half. Variation problems are integral in physics (Ohm’s Law), chemistry (pressure-volume relationships), and everyday concepts like speed-time relationships. Mastering them helps you interpret how one quantity shifts in response to another.
If x^3 - 3x^2 + 4 = 0, what is one root of the equation?
View QuestionA number is increased by 20% and then decreased by 10%. What is the net change?
View QuestionWhat is the square root of 144?
View QuestionThe LCM of 12 and 15 is:
View QuestionIf a+b = 10 and ab = 21, what is the value of a^3 + b^3?
View QuestionThe sides of a triangle are 7, 24, and 25. Is this a right triangle?
View QuestionIf a cylinder has a radius of 7 cm and height of 10 cm, what is its volume?
View QuestionIf 2x = 16, what is the value of x?
View QuestionA rectangle has an area of 48 cm² and a length of 8 cm. What is its width?
View QuestionA sum of money doubles itself in 5 years at simple interest. What is the rate of interest?
View Question