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ira [324]
2 years ago
6

Identify the vertices of the feasible region for the given linear programming constraints.

Mathematics
1 answer:
vredina [299]2 years ago
7 0

The vertices of the feasible region are as follows,

(-14, -11), (9, -11) and (6, 4)

What is a Feasible Region?

The area of the graph where all constraints are satisfied is the feasible solution zone or feasible region. It might also be thought of as the point where each constraint line's valid regions intersect. Any decision in this region would lead to a workable resolution for our objective function.

Vertices of the Feasible Region

As it can be seen in the graph, the vertices of the feasible region surrounded by the given constraints are:

(-14, -11), (9, -11) and (6, 4)

Learn more about feasible region here:

brainly.com/question/7243840

#SPJ1

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Ratio Question PLEASEE HELPL
IgorC [24]
F:m:s=4:5:7

s=f+18 and from above we see s/f=7/4 so s=7f/4 now we can say:

f+18=7f/4

4f+72=7f

3f=72

f=24 and we know s=f+18 so

s=42

m/s=5/7 so m=42*5/7=30

So Frank got 24, Mary got 30, and Seth got 42.
5 0
3 years ago
Simplify -19 + 13 + (-22)
Fudgin [204]
19+13= 32 32/22 divide both by 2 and the answer is 15/11
6 0
3 years ago
Read 2 more answers
Use the fact that the world population was 2560 million in 1950 and 3040 million in 1960 to model the population of the world in
Radda [10]

Answer:

Let the growth function that shows the population in millions after x years,

P=P_0(1+r)^x

Where,

P_0 = initial population,

r = growth rate per year,

Suppose the population is estimated since 1950,

Thus, if x = 0, P = 2560,

\implies 2560 = P_0 (1+r)^0\implies P_0 = 2560

Now, if x = 10 ( that is, on 1960 ), P = 3040,

3040=2560(1+r)^{10}\implies r = 0.017

Hence, the required function that shows the population after x years,

P=2560(1.017)^x

If x = 42,

The population in 1992  would be,

P=2560(1.017)^{42}\approx 5196.608365\text{ millions}

if x = 80,

The population in 2030 would be,

P=2560(1.017)^{80}\approx 9860.891929\text{ millions}

8 0
3 years ago
Find the sum of the terms. <br><br><br><br> The numerator of the simplified sum is
klio [65]

Answer:

4x+6 is the numerator.

Step-by-step explanation:

The given term is:

\dfrac{x}{x^{2}+3x+2 }+\dfrac{3}{x+1}

First of all, let us have a look at the denominator of the 1st term:

x^{2}+3x+2

Factorizing by writing 3x as 2x+x and then taking 'x' and '1' common respectively:

x^{2}+2x+x+2 \\\Rightarrow x(x+2)+1(x+2 )\\\Rightarrow (x+1)(x+2 )

Now, solving the given expression by taking LCM:

\dfrac{x}{(x+{2})(x+1)}+\dfrac{3}{x+1}\\\Rightarrow \dfrac{x+3(x+2)}{(x+{2})(x+1)}\\\Rightarrow \dfrac{x+3x+6}{(x+{2})(x+1)}\\\Rightarrow \dfrac{4x+6}{(x+{2})(x+1)}

Any expression \frac{p}{q} has p as its numerator and q as its denominator.

So, the numerator of simplified term is:

4x+6

8 0
3 years ago
What are the multiplication combinations for 180?
Inga [223]
1 , 180
2 , 90
3 , 60
4 , 45
5 , 36
6 , 30
9 , 20
10 , 18
12 , 15
5 0
3 years ago
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