3 Amy wants new skirting boards in her living room. The skirting boards will
go along the bottom of each wall
not go across the doorway
not go across the fireplace.
.
Amy has this sketch of her living room.
6.5 m
4.5 m
doorway
900 mm
fireplace
1.2m
Skirting boards come in lengths of 2.4m
The lengths of skirting board can be cut and joined.

skirting boards lenghts 11.31 m

Step-by-step explanation:

1) find the area A=LxW

A= 6.5 x 4.5= 29.25 m2

2) Once you have found the area you subtract it from the doorway and fireplace

doorway 900 mm= 0.9

fireplace 1.2m

29.25-0.9- 1.2= 27.15 m2

3) then you find the perimeter

6.5+4.5+6.5+4.5= 22

22-0.9-1.2= 19.9

you divide the answer with the skirting board lenghts= 19.9: 2.4= 8.29

which is approximately 9m of skirting board

the correct functions are

h(x) = 3x + 2  

g(x) = 2^x

step-by-step explanation:

i proceed to calculate the different values ​​of k (x)

case 1)  k(x) = g(x) ∘ h(x)

g(x) ∘ h(x)=g(h(x))

k(x) = [2]^[3x + > is the option  4. k(x) = 2^(3x + 2 )

case 2)  k(x) = g(x) + h(x)

k(x) = [2^x]+[3x + 2]=2^x+3x+> is the option  1.) k(x) = 2^x + 3x + 2

case 3)k(x) = h(x) ÷ g(x)

k(x) =  [3x + 2]/[2^x]=3x/(2^x)+2/(2^x)=3x*(2^-x)+2^(1-x)

is the option  3.)   k(x) = (3x)2^(-x) + 2^(-x + 1 )

case 4)k(x) = g(x) - h(x)

k(x) =  [2^x]-[3x + 2]=2^x-3x-> is the option  2.) k(x) = 2^x - 3x - 2 

case 5)  k(x) = g(x) × h(x)

k(x) = [2^x]*[3x + > is the option  5.) k(x) = 2^x(3x + 2)

case 6)k(x) = h(x) ∘ g(x)

h(x) ∘ g(x)=h(g(x))

k(x)=3*[2^x]+> is the option  6. k(x) = 3(2^x) +2

22, 28, 34, 40, 46

b)   f(n) = 6n + 16

n = what is the number of the row ( 22 would be row 1) so if we replaced n with 1, we would get 22

c)   the 14th row will have 100 seats

(1)   (2)   (3)   (4)   (5)   (6)   (7)   (8)   (9)   (10) (11) (12) (13) (14)

22 | 28 | 34 | 40 | 46 | 52 | 58 | 64 | 70 | 76 | 82 | 88 | 94 | 100