56 inch board is cut into 3 pieces so that the second piece is twice as long as the first piece and the third piece is 4 times as long. what the length of all 3 pieces

First piece=8 inches

Second piece=16 inches

Third piece=32 inches

Step-by-step explanation:

Let the length of all the pieces be;

First piece=x

Second piece= twice as long as first piece=2x

Third piece=four times as long as first piece=4x

Total length=56 inches

Total Length=Length of first piece+length of second piece+length of third piece

Replacing;

56=x+2x+4x

7x=56

x=(56/7)=8

Replacing value for x in;

First piece=x=8 inches

Second piece=2x=(2×8)=16 inches

Third piece=4x=(4×8)=32 inches

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

idk

step-by-step explanation: