11. John is building a wall. When he uses 750 bricks, the wall is 6 metres long and 1.25m high. John wants the finished wall to be 10 metres long and 1.25 metres high.
How many more bricks does John need to finish the wall?
(Total 3 marks)

750 blocks = 6m long

x blocks = 10m long

750×10 = 6x

7500 = 6x

divide both sides by 6

7500/6 = 6x/6

1250 = x

x = 1250

.

. . 1250 blocks are needed to finish the wall of 10m long

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation:

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.