Answer:

Step-by-step explanation:
For this case we have the following profit function:

And we are interested on find the profit after selling 700 pretzels, so we just need to replace X=700 into the profit function like this:

The profit function is on the figure attached. We see that for 0<X<217 we have negative profits, and for X>217 we will have positive values for the profit. And also we can see that for X=700 we have a profit of approximately 169.
Answer:
1. The train is will cross the tunnel in 2 minutes.
The train is traveling at 30 km every hour or 60 minutes, so it will move 1 km every 60/30 minutes, or every 2 minutes.
2. Explanation here first: 22 free throws means 22 points and 22 field goals.
184-22=162 points they still needed to get, and
85-22=63 goals they still needed to score
We can now use a system of equations, (where x is 3-point goals, and y is 2-point goals) to solve the problem:
3x+2y=162
x+y=63 (-2)
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3x+2y=162
-2x-2y= -126
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x=36, and y=27 so the NBA players got 36 3-point goals, and 27 2-point goals
We can check this:
(36*3) + (27*2) + 22 = 108+54+22 = 184 total points
Step-by-step explanation:
Hope this helps!
Answer: A (3, -4)
Step-by-step explanation:
A minimum is at the lowest point on the parabola. The minimum and maximum can be seen by looking at the vertex.
If you go right 3 spaces on the x-axis horizontally, then down 4 spaces vertically on the y-axis you get (3, -4).
4 is negative because you are going down below the x-axis.