Jessica makes $15 per day as a lifeguard. If her day involves any swim lessons, she makes and additional $4 an hour for every hour of swim lesson.
How many hours does Jessica need to work to make $39 in a day.
"HINT: Write and Solve an equation to represent the number of hours, h, Jessica taught swim lessons if she earned $39 in a day.
day.
4 hours
13.5 hours
6 hours
2.3 hours

6 Hours

Step-by-step explanation:

First you have to make an expression to represent whar she makes with the information that you know.

You know that Jessica make $4 for every swim lesson & she gets $15 per day regardless of the hours/number of lessons; so the expression would be 4x+15.

Now that you know the expression, you have to make an equation that has 39 as the total that she makes. So the new equation would be 39=4x+15.

Now you have to isolate and solve for x; so subtract 15 from both sides; youll end up with 24=4x.

To find x you have to isolate it from the coefficient so you divide 4 from both sides and end up with 6=x.

So x=6.

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