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statuscvo [17]
3 years ago
9

Three vertices of a rectangle are given. Find the coordinates of the fourth vertex. (0,5),(5,0),(2,-3)

Mathematics
1 answer:
olga2289 [7]3 years ago
3 0
What does that mean it dosn't even give a hint

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A manufacturer produces two types of bottled coffee drinks: cappuccinos and cafés au lait. Each bottle of cappuccino requires 6
OlgaM077 [116]

Answer:

  • <u><em>P = 0.40x + 0.50y</em></u>

Explanation:

The <em>objective function</em> is the function that you want to optimize: usually minimize in the case of costs, and maximize in the case of revenues or profits.

In this case, you know the <em>profits</em> that a manufacturer earns from two types of <em>bottled coffe drinks</em>: <em>cappuccinos</em> and <em>cafés au lait</em>.

Each bottle of <em>cappuccino earns a profit of $0.40</em> and each bottle of <em>café au lait earns a profit of $0.50</em>.

Then:

  • using the variable x for the number bottles of cappuccino produced, the profit earned from x bottles is 0.40x, and

  • using the variable y for the number of bottles of café au lait the produced, the profit earned from y bottles is 0.5y.

The total profit earned, P, is the sum of the profits earned from each type of bottled coffee drinks:

  • P = 0.40x + 0.50y

That is the <em>objective function</em>, i.e. the function that the manufacturer must try to maximize subject to the corresponding constraints.

7 0
3 years ago
Read 2 more answers
A woman passed gas silently. I said "it stinks", and she said "I apologize. Excuse me". Why did she say both of those things?
Vikki [24]
She says “I apologise” because she feels bad that she made a bad smell and she says “excuse me” because she wants you to accept her apology
8 0
2 years ago
Help me with number 3 please
Harlamova29_29 [7]
The answer would be 22%
6 0
2 years ago
a father and his son clean the house together in 2 hours. when the son works alone, it takes him an hour longer to clean than it
Marizza181 [45]
It takes the son one and half hours to clean the house. To find this you need the equations F+S=2 and F+1=S. (F=father and S=son) You take the F+1 and substitute it in for S in F+S to get F+(F+1)=2. Then you combined like factors, 2F+1=2, and simplify to get F=.5hr. After this you plug .5 in to F+1=S to get (.5)+1=S, meaning it takes the son 1.5 hour to clean the house. 
7 0
3 years ago
Could someone please help me with this question? 15 points.
polet [3.4K]
1a) f(x) = I x+2 I. This is a piece-wise graph ( V form)
      x = 0 →f(x) =2 (intercept y-axis)
      x = -2→f(x) = 0 (intercept x-axis)
      x = -3→f(x) = 1 (don't forget this is in absolute numbers)
      x = -4→f(x) = 2 (don't forget this is in absolute numbers)
Now you can graph the V graph

1b) Translation: x to shift (-3) units and y remains the same, then
      f(x-3) = I x - 3 + 2 I = I x-1 I
     the V graph will shift one unit to the right, keeping the same y. Proof:
     f(x) = I x-1 I . Intercept x-axis when I x-1 I = 0, so x= 1
8 0
3 years ago
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