Answer:
-b/2a is the equation to find the x coordinate of the vertex point and it's y, when x is plugged into the quadratic equation.
Step-by-step explanation:
Answer:sorry
Step-by-step explanation:
Answer:
1/3 is the slope and if it’s less than or greater to that, then the bottom half of the graph is shaded in.
Answer:
Equation: 
Solution: 
Step-by-step explanation:
Let be "t" the number of movie tickets bought by the group of friends.
According to the information given in the exercise, the price of each movie ticket is: $8.50.
Then, you can represent the amount (in dollars) the group of friends spent in movie tickets, with this expression:

You know that one person spent $6.50, then the expression that represents the total amount (in dollars) the group of friends spent in food and movie tickets, is:

Since that total amount spent is given in the exercise, you can write the following equation to determine how many tickets were bought:

Finally, you can solve for "t" in order to find the solution of the equation. This is:

Answer: 3,140 radians per minute.
Step-by-step explanation:
We know that the wheel does 500 revolutions per minute.
This is called the frequency of the wheel, and this is written as:
f = 500 rev/min = 500 RPM
The angular speed (or Angular velocity) is written as
ω = 2*pi*f
And this quantity is in radians/unit of time.
where pi = 3.14
then:
ω = 2*3.14*500 (rev/min)*(rad/rev) = 3,140 rad/min
This means that the angular velocity (or angular speed) is 3,140 radians per minute.