**Answer:**

a ≠ 2

**Step-by-step explanation:**

Given

The denominator of the rational function cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the value that a cannot be, that is

- 3a + 6 = 0 ( subtract 6 from both sides )

- 3a = - 6 ( divide both sides by - 3 )

a = 2 ← excluded value

**Answer:**

The square is the next step

**Step-by-step explanation:**

**Answer:**

80 combinations

**Step-by-step explanation:**

Marie is a party planner who is helping a couple plan their wedding reception. Marie suggested 2 different reception locations and 5 different caterers. Marie asked the couple what kind of music they wanted and then gave them a list of 4 bands they might like to hire. Finally, Marie suggested 2 bakeries that were famous for their wedding cakes. **Therefore, there are 80 different combinations Marie's clients can choose.**

The equation **4n + 7 = 55** is used to find the value of n.

The value of n is founded as **n=12**.

<u>**Step-by-step explanation**</u>**:**

Let 'n' be the number of people seated at each of the 4 large tables.

- The number of guests seated in 4 large tables = 4n
- The number of guests seated in smaller table = 7
- Total number of guests = 55

Total guests = guests in larger table + guests in small table.

**The equation framed is 55 = 4n + 7**

⇒ 4n = 55-7

⇒ 4n = 48

⇒ **n = 12**