b) The weekly demand and supply functions for a new brand of TV are given by p = -0.2x2 + 150 and p = 0.2x2 + 0.7x + 75 respectively, where p is the unit price in dollars and x is the quantity demanded each week, in units of a hundred. a (i) Determine the unit price when there is no demand. [1 mark] (ii) Determine the quantity supplied when the unit price is set at $95. [2 marks] (iii) Determine the equilibrium price and quantity. [3 marks]

X2 + y 2 = 36 x + y = 6 solve the system of equations.

If private savings 'v' = 0.75s and total savings 's' equals $4.20 billion, solve for public and private savings.

Write the equation of a line that is perpendicular to the given line and that passes through the given point. –3x – 6y = 17; (6, 3) y = x – 9 y = 2x – 9 y = –2x – 9 y = x + 0 3. is the relationship shown by the data linear? if so, model the data with an equation. x y 1 5 5 10 9 15 13 20 the relationship is linear; y – 5 = (x – 1). the relationship is not linear. the relationship is linear; y – 5 = (x – 1). the relationship is linear; y – 1 = (x – 5). write an equation in point-slope form for the line through the given point with the given slope. (–10, –1); m = y + 10 = (x + 1) y – 1 = (x – 10) y – 1 = (x + 10) y + 1 = (x + 10) 5. write an equation for each translation of . 6.5 units up y + 6.5 = | x | y = | 6.5 x | y = | x | + 6.5 y = | x | – 6.5 6. write an equation for each translation of . 5.5 units right y = | x | + 5.5 y = | x – 5.5 | y = | x | – 5.5 y = | x + 5.5 | 7. which equation translates y = | x | by 8 units to the left? y = | x | – 8 y = | x | + 8 y = | x – 8| y = | x + 8|