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julia-pushkina [17]
3 years ago
13

If the Constant of Proportionality between X and Y is 12, which equation represents their relationship?

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
3 0

Answer:

y=12x   12=k   k=constant of Proportionality

Step-by-step explanation:

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What is the maximum value of the objective function, P, with the given constraints?
maksim [4K]

Answer:

Option C - 420

Step-by-step explanation:

Given : Objective function, P, with the given constraints

P=20x+35y

Constraints,

x+y \leq 12

5x+y \leq 20\\x \geq 0\\y \geq 0

To find : What is the maximum value

Solution :

First we plot the graph through the given constrains.

As they all move towards the origin the common region of the equations is given by the points (0,0), (0,12), (2,10), (4,0)

Refer the attached figure.

So, we put all the points in P to, get maximum value.

P=20x+35y

  • Point (0,0)

P=20(0)+35(0)=0

P=20x+35y

  • Point (0,12)

P=20(0)+35(12)=420

  • Point (2,10)

P=20(2)+35(10)=40+350=390

  • Point (4,0)

P=20(4)+35(0)=80

Therefore, The value is maximum 420 at (0,12)

So, Option C is correct.

8 0
3 years ago
Find the distance between the points (0, 10) and (–9, 1).
Assoli18 [71]
D=sqrt[(x1-x2)^2+(y2-y1)^2]
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Otrada [13]
The first would be 4,000 and the second would be 400
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There are 3 toppings, the probability of picking pepperoni is 1/3.

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