A) Tim is tiling a wall and needs to buy at least 100 tiles. The tiles are sold in large packs and small packs.
Large pack 40 tiles £17
Small pack 26 tiles £12
Special offer
25% reduction when you buy 3 or more large packs
Work out the cheapest cost to buy the packs of tiles he needs.
Your final line must say, Cheapest cost =
(3)
b) If a floor tile is a square with side 40 cm, how many tiles would be
needed to tile a rectangular floor with length 640 cm and width 200 cm? (1)
Tiles needed
Total marks: 4

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!

the answer is c.

step-by-step explanation:

step-by-step explanation: if she dances 25 minutes longer then runs she would have dance 25 more minutes of running and 30 minutes of dancing to add up to 55