Answer:
1. Option C is correct
2. Option A is correct
3. Option C is correct
4. Option B is correct
5. Option D is correct
Step-by-step explanation:
1. x^2-3x-18/x+3
Factorize the numerator
x^2-6x+3x-18/x+3
x(x-6)+3(x-6)/x+3
(x+3)(x-6)/x+3
x-6
x-6 where x≠6
Option C is correct.
2. x-2/x^2+4x-12
Factorizing the denominator
x-2/x^2+6x-2x-12
x-2/x(x+6)-2(x+6)
x-2/(x-2)(x+6)
1/x+6
1/x+6 where x≠-6
Option A is correct.
3. 5x^3/7 x^3+x^4
5x^3/7x^3+x^4
5x^3/x^3(7+x)
5/7+x
Option C is correct
5/7+x where x≠-7
4. Simplify x/6x-x^2
x/6x-x^2
x/x(6-x)
1/6-x
Option B is correct
1/6-x where x≠6
5. 2/3a * 2/a^2
Multiplying both terms
4/3a^3
Option D is correct.
4/3a^3 where a≠0
Answer:
i think 2. division property of equality
distributive property of multiplication over addition
Lance invited 36 people to his party.
<u>Step-by-step explanation:</u>
It is given that,
- Lance bought 12 quarts of lemonade.
- Everyone who came to his party could have exactly 1/3 quart.
We know that,
The total quarts of lemonade available for the party = 12
Each person in the party consumes = 1/3 quart.
We need to find out how many people did Lance invited to his party.
<u>To find the number of people :</u>
Let us consider 'x' be the number of people invited to the party.
Total lemonade = number of people × lemonade for each person.
⇒ 12 = x × 1/3
⇒ 12×3 = x
⇒ x = 36 people
Therefore, Lance invited 36 people to his party.
Answer:
Step-by-step explanation:
so i cant actually see the picture on my school chromebook, but if only one x matches up to one y, then yes. multiple x's can go to a single y
Answer:
13
Step-by-step explanation:
