In the last hour ellie observed 32 monarchs 56 gulf fritillaries and 8 giant swallow tails visit her butterfly garden. If 480 butterfly's visit her garden how many can we expect that will be giant swallow tails

We can expect 40 giant swallowtails if 480 butterflies come to the garden.

Step-by-step explanation:

Step 1:

First, we determine how many butterflies visited in the hour that Ellie observed.

32 monarchs + 56 gulf fritillaries + 8 giant swallowtails = 96 butterflies.

So if 96 butterflies visit the garden, 8 of them are giant swallowtails.

Step 2:

If we multiply 96 by 5, we get 480.

So if we need to determine how many giant swallowtails will be in 480, we multiply 5 with 8.

If 8 giant swallowtails are in 96 butterflies, then the number of giant swallowtails in 480 butterflies

So we can expect 40 giant swallowtails if 480 butterflies come to the garden.

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