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2 years ago

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Find the maximum value of the function for the polygonal convex set determined by the given system of inequalities.

1 answer:

Keith_Richards [23]2 years ago

4 0

The maximum is at (9,9) and the maximum value is 126 after plotting all the inequalities on the coordinate plane option (B) is correct.

<h3>What is inequality?</h3>

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.

We have a system of inequalities:

8x + 2y > 36

-3x+ 6y < 27

-7x + 5y > -18

After plotting all the inequalities in the coordinate plane, we get:

Intersection points:

(4, 2)

(3, 6)

(9, 9)

Checking for the minimum values at all the points:

f(x, y) = 9x + 5y

f(4, 2) = 9(4) + 5(2) = 46

f(3, 6) = 9(3) + 5(6) = 57

f(9, 9) = 9(9) + 5(9) = 126

The maximum value is 126

Thus, the maximum is at (9,9) and the maximum value is 126 after plotting all the inequalities on the coordinate plane option (B) is correct.

Learn more about the inequality here:

brainly.com/question/19491153

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Answer two questions about Equations AAA and BBB: \begin{aligned} A.&&\dfrac x4+1&=-3 \\\\ B.&&x+4&=-12

luda_lava [24]

The given equations are as follows

$\begin{aligned} A.&&\dfrac x4+1&=-3 \\\\ B.&&x+4&=-12 \end{aligned}$

(1) First, multiply both sides of equation A by 4, we have

$4\times\left(\frac{x}{4} +1\right)=4\times(-3)$

Then, rewrite the left-hand side of the above equation by using the distributive property, we have

$4\times\frac{x}{4}+4\times1=4(-3)$

$\Rightarrow x+4=-12$

This is the required equation B.

In this way, first use choice D: Multiply both sides by the same non-zero constant, i.e 4.

Then, apply choice A to solve the equation, i.e using the distributive property to solve the left-hand side of the equation.

(2) In the previous answer, equation B has been derived from equation A, hence, both the equations are equivalent.

As both the equations are the same, so both will have the same solution.

Yes, they have the same solution.

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3 years ago

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3 years ago

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Convert from Decimal Notation to Scientific Notation

a_sh-v [17]

Answer:

Hence, 12,90,000 can be expressed as $1.29 \times 10^{6}$ .

Step-by-step explanation:

- Given 12,90,000

- Use given, move the decimal point so that first factor is greater than or equal to 1 but less than 10 .

- Then count n and write in scientific notation.

Step 1 of 1

Consider 12,90,000

1.29

So, 1.29 lies between 1 & 10.

Now, Decimal moved to 6 places at left.

$1.29 \times 10^{6}$

So, $12,90,000=1 \cdot 29 \times 10^{6}$ .

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2 years ago

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lisabon 2012 [21]

Answer:

Profit = Selling price - Variable cost

Formulas:

F2 =SUMPRODUCT(B2:E2,$B$16:$E$16) copy to F2:F12, F14

Optimal solution: The company should produce the following quantities (in pounds) of the four varieties of nuts.

Whole = 1000

Cluster = 500

Crunch = 80

Roasted = 200

Total profit = $ 2913.20

Step-by-step explanation:

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3 years ago

Tyson says the value of the expression 6 + 9 ÷ 3 × 7 is 35. What is the first step in evaluating the expression? *

MA_775_DIABLO [31]

Answer:

he is correct

Step-by-step explanation:

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3 years ago