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lara [203]
3 years ago
12

By graphing the system of constraints, find the values of x and y that maximize the objective function.

Mathematics
1 answer:
mamaluj [8]3 years ago
4 0
First, we'd need to find the feasible region which is bounded by the constraints 2 ≤ x ≤ 6, 1 ≤ y ≤ 5 and x + y ≤ 8. Let's graph all of them and we'll get the feasible region as unshaded in the attached image. To find the maximum for p = 3x + 2y, we'll plug the coordinates of the vertices in and compare them. 
p(6,1) = 3(6) + 2(1) = 20
p(2,1) = 3(2) + 2(1) = 8
p(2,5) = 3(2) + 2(5) = 16
p(3,5) = 3(3) + 2(5) = 19
p(6,2) = 3(6) + 2(2) = 22
So the maximum value of p is 22 as x = 6 and y = 2.

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He mean potassium content of a popular sports drink is listed as 140 mg in a 32-oz bottle. Analysis of 20 bottles indicates a sa
mezya [45]

Answer: (A) H0: μ = 140 mg vs. H1: μ ≠ 140 mg

Step-by-step explanation:

Usually null hypothesis represents the claim that the values associated to the groups being tested have no statistical difference but alternative hypothesis supports the claim that there is statistical difference.

Let \mu be the population mean .

We are given that the mean potassium content of a popular sports drink is listed as 140 mg in a 32-oz bottle.

i.e. Null hypothesis :H_0:\mu=140

Alternative hypothesis for two tail hypothesis has sign (≠).

i.e. Alternative hypothesis : H_1 : \mu\neq140

∴ The hypotheses for a two-tailed test of the claimed potassium content:

H0: μ = 140 mg vs. H1: μ ≠ 140 mg

3 0
4 years ago
Use intercepts to graph the linear equation 5x + 3y = 30.
miv72 [106K]

Answer x=6 and y=10

Explanation:

Replace each variable in turn with 0 and solve

5x+3y=30  Put zero in place of x and solve for y

5(0)+3y=30

\frac{3y}{3} =\frac{30}{3}

y=10 The y- intercept is 10

5x+3y=30 Put zero in place of y and solve for x

5x+3(0)=30

\frac{5x}{5} =\frac{30}{5}

x=6  The x-intercept is 6

5 0
3 years ago
Help me, please!!!!! CORRECT ANSWER GETS BRAINLIEST!!!!!!
sladkih [1.3K]
Hello,

Here is your answer:

The proper answer to your question is..... 200,000=4x-20

When your doing questions like these make sure you pay attention to the question.

Your answer is 200,000=4x-20

If you need anymore help feel free to ask me!

Hope this helps!
5 0
3 years ago
The following mapping statements describe the transformation of the vertices of △ABC to the vertices of its image, △A′B′C′. A(0,
victus00 [196]

Answer:

C. a reflection in the y-axis

Step-by-step explanation:

The mapping statement for the transformation of the vertices of the triangle ABC is given as following:

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C(4,2)→C'(-4,2)

To find the correct transformation for the given statement.

Solution:

From the given statements, the general transformation statement for the the vertices of the triangle can be given as:

(x,y)\rightarrow (-x,y)

The above transformation shows a reflection in the y-axis as the transformation in y-axis changes the sign of the x-coordinate of the point.

5 0
4 years ago
What’s a linear function
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