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Natasha2012 [34]
3 years ago
6

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

Mathematics
1 answer:
lutik1710 [3]3 years ago
5 0

Answer:

Option b (4,1)

Step-by-step explanation:

The region given by the system of inequalities is shown in the graph. We must look within this region for the point that minimizes the objective function f(x, y) = 8x + 8y

The minimum points are found in the lower vertices of the region.

These vertices are found by equating the equations of the lines::

3x+2y=14\\-5x +5y=10

-------------------

x = 2\\y = 4

-8x + 3y = -29\\3x + 2y = 14

---------------------

x = 4\\y = 1

The lower vertices are:

(4, 1) (2, 4)

Now we substitute both points in the objective function to see which of them we get the lowest value of f(x, y)

f(4, 1) = 8(4) +8(1) = 40\\f(2, 4) = 8(2) + 8(4) = 48

Then the value that minimizes f(x, y) is (4,1).

Option b

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HELP! Which of the following pairs of functions are inverses of each other?
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one way is to solve for the invers of the first function

remembe, to solve, replace f(x) or g(x) with y, switch x and y, solve for y and replace it with f⁻¹(x)


A.

f(x)=x/2+8

y=x/2+8

x=y/2+8

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2x-16=y

f⁻¹(x)=2x-16

nope, not A



B.

f(x)=3x³+16

y=3x³+16

x=3y³+16

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f⁻¹(x)=∛((x-16)/3)

nope, not the same

not B


C.

f(x)=18/x-9

y=18/x-9

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x+9=18/y

y(x+9)=18

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f⁻¹(x)=18/(x+9)

correct, the answer is C




answer is C



8 0
3 years ago
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Ryan created the two-way table below to describe his scoring in his soccer team’s wins and losses last season. Ryan’s Scoring in
pickupchik [31]

Answer: There is 40% of team's win that Ryan score a goal.

Step-by-step explanation:

Since we have given that

                              Team Won   Team lost

Ryan scored               6                   4

Did not score             9                   11

(by Ryan)

-------------------------------------------------------------------------

Total                          15                    15

Percentage of team's win that Ryan score a goal is given by

\dfrac{6}{15}\times 100\\\\=40\%

Hence, there is 40% of team's win that Ryan score a goal.

8 0
3 years ago
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(a) -12;   f(x) = 2^(-12) - 10 = -9.9999 (NOT AN ANSWER)
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I'm pretty sure you just answered your own question, (no hate), but I'm going to take a guess and say 2 hours??
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