5x+4y=20.14
6x+7y=28.15

x=2.2582, y=19.91/9. (2.2582, 19.91/9).

Step-by-step explanation:

5x+4y=20.14

6x+7y=28.15

6(5x+4y)=6(20.14)

-5(6x+7y)=-5(28.15)

30x+24y=120.84

-30x-35y=-140.75

-9y=-19.91

9y=19.91

y=19.91/9

5x+4(19.91/9)=20.14

5x+79.64/9=20.14

5x=20.14-79.64/9

5x=11.291

x=11.291/5

x=2.2582

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

answer: hey there,

the answer you are looking for is a..

hope this you!