Match the following items.

1. a2 +2ab + b2
factor
2. a2 - b2
(a + b)2
3. a2 -2ab + b2
(a-b)(a2 + ab + b2)
4. a3 - b3
joint variation
5. a3 + b3
(a + b)(a - b)
6. divisor
(a - b)2
7. process
direct variation
8. a simplified procedure that temporarily omits variables
synthetic division
9. y = 10x
combined variation
10. xy = 18
algorithm
11. y = 4xz
(a + b)(a2 - ab + b2)
12. y = 4x/z
inverse variation

Step-by-step explanation:

The following match

* a² + 2ab + b² and (a + b)²

* a² - b² and (a - b)(a + b)

* a² - 2ab + b² and (a - b)²

* a³ - b³ and (a - b)(a² + ab + b²)

* a³ + b³ and (a + b)(a² - ab + b²)

* y = 10x Direct variation

* xy = 18 Algorithm

* y = 4xz Joint variation

* y = 4x/z Inverse variation

7

step-by-step explanation:

i'm assuming you need to figure out how many campers go into each tent.

i got the answer by:

24+4=28

28/4=7  

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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