At the zoo you see 16 animals (ducks and pigs). There are a total of 52 animal feet on the ground. How many ducks are there? How many pigs are there? Write a system of linear equations that represent this situation.

Step-by-step explanation:

P = pigs D = ducks

P + D = 17

P = 17 – D

4P + 2D = 50 because pigs have 4 feet

and ducks have 2 feet.

4(17 – D) + 2D = 50

68 – 4D + 2D = 50

.68 – 2D = 50

–2D = –18

D = 9

P = 17 – D

P = 17 – 9

9 = 17 – D

D = 8

answer: about 22.67

step-by-step explanation:

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.