Consider the equation 4x2 + 2x = (x + 2)(x − 5)x Match the Property used to create an equation with the same solution set. Commutative Property, Multiplication Property, associative Property, Division Property, Distributive Property What property matches up with each of the other equations listed below? What property is being used in each equation ?
1. (4x2 + 2x) = (x + 2)((x − 5)x)
2. 2x + 4x2 = x(x − 5)(x + 2)
3. x(4x + 2) = (x + 2)(x2 − 5x)
4. 12x2 + 6x = (x + 2)(x − 5)3x
5. 4x + 2 = (x + 2)(x − 5)

solve systems of equations by graphing. a system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. the solution of such a system is the ordered pair that is a solution to both equations. to solve a system of linear equations graphically we graph both equations in the same coordinate system

ending amount = beginning amount / (2^n)

where "n" = number of half-lives (or elapsed time / half-life)

ending amount = 50 mg / (2 ^10 / 5.3)

ending amount = 50 mg / (2 ^ 1.8867924528)

ending amount = 50 m / 3.6981210597

ending amount = 13.5203794557 mg

or about 13.5 mg remain

source:  

2 equivalent expressions to represent the area of a rectangle and the top is n-3 and the side is 2

area of the rectangle = length * width

given length = n - 3

width = 2

replace it in the area

so area of the rectangle = (n-3) *2

= 2(n-3)

one of the expression is 2(n-3)

to get another expression we distribute 2 inside the parenthesis

2(n-3) is 2n - 6

so another expression is 2n - 6

two equivalent expression are

2(n - 3)   , 2n - 6