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Ann [662]
4 years ago
6

Which graph best represents the feasibility region for the system shown above? ( pics are in this)

Mathematics
2 answers:
zalisa [80]4 years ago
5 0

Consider the system of inequalities

\left\{ \begin{array}{l}  y\ge 2 \\  x\le 6 \\  y\le 3x+2 \\  y\le -x+10. \end{array}\right.

1. Plot all lines that are determined by equalities (see attached diagram)

\left\{ \begin{array}{l}  y=2 \text{ (red line)} \\  x= 6  \text{ (blue line)}\\  y=3x+2 \text{ (green line)} \\  y= -x+10  \text{ (orange line)}. \end{array}\right.

2. Determine which bounded part of the plane you should select:

  1. y\ge 2 means that you should take points with y-coordinates greater than or equal to 2 (top part of the coordinate plane that was formed by the red line);
  2. x\le 6 means that you should take points with x-coordinates less than or equal to 6 (left part of the coordinate plane that was formed by the blue line);
  3. for y\le 3x+2 you can check where the origin is placed. Since 0\le 3\cdot 0+2, the origin belongs to the needed part and you have to take the right part of the coordinate plane that was formed by green line.
  4. for y\le -x+10 you can check where the origin is placed. Since 0\le -1\cdot 0+10, the origin belongs to the needed part and you have to take the bottom part of the coordinate plane that was formed by orange line.

3. According to the previous explanations, the shaded region is as in A diagram.

Answer: correct choice is A.


IRINA_888 [86]4 years ago
3 0
The first graph is the correct answer.
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AnnyKZ [126]

Answer:

D

Step-by-step explanation:

A'(-2*3/2=-3,3*3/2=4.5), B'(-6,-6), C'(6,0), D'(7.5,6)

8 0
3 years ago
Help What’s the Answer
nordsb [41]

Finding the slope using two points:

The formula for slope is

\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

In this case...

(3, 7) and (-1, 4)

y_{2} =4\\y_{1} =7\\x_{2} =-1\\x_{1} =3

^^^Plug these numbers into the formula for slope...

\frac{4-7}{-1 - 3}

\frac{-3}{-4}

C. \frac{3}{4}

^^^This is your slope

Hope this helped!

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5 0
4 years ago
A pencil company used 49 grams of rubber to make 7 pencils, which is a rate of grams per pencil?
sineoko [7]

Answer:

7 grams per pencil

Step-by-step explanation:

49 grams/7 pencils

divided both parts of the fraction by 7 to simplify to the number of grams for just one pencil so you end up with:

7 grams/1 pencil

6 0
4 years ago
HENRY COUNTED 350 LOCKERS IN HIS SCHOOL.
telo118 [61]
Using the method of checking each answer to see if it is possible that they are correct. 

The 3 in the 350 can also be referred to as just 300 because it a 3 in the hundreds place. Also because if the rest of the numbers following the "3" were zeros the number would be 300.
The 3 in the 403 can be just referred to as 3 because there are no other numbers following it, and the 3 is in the ones place. 

A. THE 3 IN 350 IS 10 TIMES THE VALUE OF THE 3 IN 403
-Saying that 300 is ten times greater than 3-
To check that would mean that:
300 = 3x10
300=30
300≠30
ANSWER A DOES NOT WORK BECAUSE 300 DOES NOT EQUAL 30

B: THE 3 IN 350 IS 100 TIMES THE VALUE OF THE<span> 3</span><span> IN 403
</span>-Saying that 300 is one hundred times greater than the 3-
To check that would mean that:
300=3(100)
300=300
ANSWER B WORKS AND IS THE CORRECT ANSWER BECAUSE 300=300

C: THE 3 IN 403 IS 10 TIMES THE VALUE OF THE 3 IN 350
-Saying that the 3 in ten times greater than the value of 300-
To check that would mean that:
3=300x10
3=3000
3≠3000
ANSWER C DOES NOT WORK BECAUSE 3 IS NOT EQUAL TO 3000

<span>D: THE 3 IN 403 IS 100 TIMES THE VALUE OF THE 3 IN 350
-Saying that 3 is one hundred times greater than 300-
To check that would mean that:
3=300(100)
3=30000
3</span>≠30000
ANSWER D DOES NOT WORK BECAUSE 3 IS NOT EQUAL TO 30000

THE CORRECT ANSWER IS B

5 0
3 years ago
The dimensions of the rectangular pool shown below are 40 yards by 20
kolezko [41]

You are looking for the perimeter of the pool. The perimeter of rectangles can be measured by using the formula 2W + 2L = P (2 * width + 2 * length = perimeter). Using the formula, 2(40) + 2(20) = P, 80 + 40 = P, P = 120. The answer is C. 120 yards.

8 0
3 years ago
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