Write the following fractions with a denominator 24a^3b^2 and analyze the domains. 1. 2/a^2b^2
2. 5b/8a^3

1. 48a/24a³b²; domain {a ≠ 0 and b ≠ 0}  2. 15b³/24a³b² ; domain {a ≠ 0 and b ≠ 0}

Step-by-step explanation:

1. To have a denominator 24a³b², we multiply 2/a²b² by 24a/24a.

So, 2/a²b² × 24a/24a = 48a/24a³b². For this expression to the valid, the domain is a ≠ 0 and b ≠ 0

2. To have a denominator 24a³b², we multiply 5b/8a³ by 3b²/3b².

So, 5b/8a³ × 3b²/3b². = 15b³/24a³b². For this expression to the valid, the domain is a ≠ 0 and b ≠ 0

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)

saving = more money

step-by-step explanation:

if you have 100 bucks, and you want to buy a candy bar, even if you have one at home, if you choose not to buy it, you save.

~courtney