Y=-x-3/2
That's it written in slope intercept form
7. x=3 is the midpoint between the roots. The other root is x = 2*3 -(-5) = 11.
8a) f(x) = (x +3)^2 -49. The vertex is (-3, -49). The roots are -10, 4.
8b) y = (x+4)^2 -1. The vertex is (-4, -1). The roots are -5, -3.
8c) f(x) = 2(x +3)^2 -34. The vertex is (-3, -34). The roots are -3±√17.
Answer:
<u>36 tables are used to seat the students at the banquet: 12 rectangular and 24 round.</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Round tables = 8 seats
Rectangular tables = 12 seats
Ratio of round tables to rectangular tables = 2:1
Number of students = 336
2. How many tables are used to seat 336 students at the banquet, if no table has an empty seat?
x = Number of rectangular tables
2x = Number of round tables
Let's solve for x, using this equation:
12x + 8 (2x) = 336
12x + 16x = 336
28x = 336
x = 336/28
x = 12 ⇒ 2x = 24
12 + 24 = 36
<u>36 tables are used to seat the students at the banquet: 12 rectangular and 24 round.</u>
