Happy Paws charges $19.00 plus $3.50 per hour to keep a dog during the day. Woof Watchers charges $13.00 plus $4.75 per hour. Complete the equation and solve it to find for how many hours the total cost
of the services is equal. Use the variable h to represent the number of hours.
The equation is
The total cost of the services will be equal at
hours.

Step-by-step explanation:

Happy paws: y = 3.50h + 19

Woof Watchers: y = 4.75h + 13

set them equal to eachother (this is the equation you need)

3.50h + 19 = 4.75h + 13

to find when they will be equal solve for h

6 = 1.25h

4.8 = h

so they will be equal at 4.8 hours

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

2x^2+5x+17

your welcome. : )