The coordinates of the vertex for the quadratic function are given as follows: (100,10).
<h3>What is the vertex of a quadratic equation?</h3>
A quadratic equation is modeled by:

The vertex is given by:

In which:
In this problem, the function is given as follows:
y = -x²/1000 + x/5
y = -0.001x² + 0.2x.
Hence the coefficients are a = -0.001, b = 0.2, c = 0 and the coordinates of the vertex are given as follows:
More can be learned about the vertex of a quadratic function at brainly.com/question/24737967
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Easy,
finding the complement (net price) subtract the discount percentage by 100% to get the net price percentage. Net price equals the list price minus the discount price.
100%-35%=65%
Multiply the list price ($1,400) by the complement.
Net price= 0.65(1,400)=$910
Thus, the new price is, $910.
Answer: Yes, (2,1) is a solution.
Point for : (2,1)
Equation form : x=2 , y=1
Step-by-step explanation: Solve for the first variable in one of the equations, then substitute the result into the other equation.
Hope this helps you out! ☺
Answer:

small cups=30
large cups=40
Step-by-step explanation:
let x be the number of small cups and y the number of large cups.
-Given that 10 more cups than small cups of lemonade were sold:

#Before the 10 more were sold, the number of x and y sold were equal>

The number of small cups sold was 30
#Since, the number of large cups was 10 more, y=x+10=30+10=40