2. Identify the property of equality that justifies the missing step to solve the given equation

Subtraction property of equality

Step-by-step explanation:

Given the equation;

2x + (x+5) = 41

open the parenthesis;

2x+x + 5 = 41 (Associative property)

3x+5 = 41

Subtract 5 from both sides

3x + 5 = 41

3x + 5- 5 = 41 - 5 (Subtraction property of equality)

3x = 36

Divide both sides by 3;

3x/3 = 36/3

x = 12 (Division property of equality)

Hence the required property is Subtraction property of equality

y=3x+4

step-by-step explanation:

given the points a(0,4) and b(-4, -8)

eqn of line ab: (y-4)/(x-0)=(-8-4)/(-4-0)

(y-4)/x=-12/-4=3

y=3x+4

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.