Answer:

Step-by-step explanation:
first find the slope using the above points then use the slope formula to calculate the slope

substitute ⅔ for m and one of the above points into the y-intercept form of the equation for a line and solve for b

substitute the slope and the value for b into the equation to get the answer

Answer:
at 6:06
Step-by-step explanation:
since it took 13 to be half full just add an extra 13 minutes. 5:53+ 13 minutes= 6:06
Answer:
x = 1/3
Step-by-step explanation:
f(x) = -3x^2 + 2x-17
This is in the form
ax^2 +bx+c
a = -3 b = 2 c = -17
The axis of symmetry is at
x = -b/2a
x = -2/ (2*-3)
x = -2/-6
x = 1/3
I think it would be A.) but at the same time i think it's wrong
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>