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Ede4ka [16]
4 years ago
5

Which system of linear inequalities is graphed?

Mathematics
2 answers:
adoni [48]4 years ago
6 0

Answer:

y is greater than or equal to 3x-2

x - 1/2 is less than or equal to 2

Step-by-step explanation:

the choices aren't shown, but I answered based on the graph.

SpyIntel [72]4 years ago
5 0

Answer:

Option A.

Step-by-step explanation:

First related equation passes through the points (0,2) and (4,0). So, the equation of line is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

y-2=\dfrac{0-2}{4-0}(x-0)

y-2=-\dfrac{1}{2}x

Multiply both sides by 2.

2y-4=-x

x+2y=4

The shaded region is below the solid line. So the sign of inequality is ≤.

x+2y\leq 4              ....(1)

second related equation passes through the points (0,-2) and (2,4). So, the equation of line is

y-(-2)=\dfrac{4-(-2)}{2-0}(x-0)

y+2=3x

y=3x-2

The shaded region is above the solid line. So the sign of inequality is ≥.

y\geq 3x-2              ....(2)

The system of equations contains equation (1) and (2).

Therefore, the correct option is A.

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Sarah is the president of the drama club and wants to publish a newspaper. Expenses are $.90 for printing and mailing each copy,
larisa86 [58]
Let: x = number of copies sold

We can formulate the following equation to solve for x:

1.50x - 0.9x - 600 = 0

x = 1000

Therefore, the club must sell 1000 copies to break even. Among the choices, the correct answer is A. 
5 0
3 years ago
A paper is in the form of a rectangle ABCD in which AB= 18 cm and BC=14cm.A semicircular portion with BC as diameter is cut off.
svetoff [14.1K]

Answer:

remaining portion is area= area of rectangle- area of semicircle

= 18*14 - 3.14*7^2

=252-154.86

=199.86cm^2

7 0
3 years ago
Productivity: My candy bar company made 100 million bars last year, sold for $1 each. I also paid [L] people last year, with an
Murljashka [212]

Answer:

5

Step-by-step explanation:

Productivity: My candy bar company made 100 million bars last year, sold for $1 each. I also paid [L] people last year, with an average salary of $100K last year. I have overhead cost of $10M. What was my TOTAL productivity (no units, rounded to 2 decimal places)?

Solution:

Total productivity is the average of labour and capital productivity weighted and adjusted to price fluctuations. It is the ratio of total output to the total input. The total productivity is given by the formula:

Total productivity = total output / total input

Total output = Revenue = number of bars sold * price per bar

Total output = 100 million * $1 = $100 million

Total input = Total salary + overhead cost

Total salary = number of people * average salary = 100 *$100000 = $10 million

overhead cost = $10 million

Total input = $10 million + $10 million = $20 million

Total productivity = total output / total input = $100 million / $20 million

Total productivity = 5

7 0
3 years ago
Need some help with this one please
Airida [17]

Answer: Choice A

y = (-3/4)(x + 4) + 6

=====================================================

Let's go through the answer choices

  • Choice A is something we'll come back to
  • Choice B is false because the line does not go uphill as we move from left to right. The graphed line has a negative slope, which contradicts what choice B is saying.
  • Choice C is false for similar reasons as choice B. The slope should be negative.
  • Choice D has a negative slope, but the y intercept is wrong. The y intercept should be 3. So choice D is false as well.

We've eliminated choices B through D.

Choice A must be the answer through process of elimination.

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

Here's an alternative method:

If we started at a point like (0,3) and move to (4,0), note how the slope is -3/4

This is because we've moved down 3 units and to the right 4 units.

m = slope = rise/run = -3/4

We can also use the slope formula m = (y2-y1)/(x2-x1) to see this.

Then we pick on a point that is on the diagonal line. It could be any point really, but the point your teacher used for choice A is (x1,y1) = (-4,6)

So,

y - y1 = m(x - x1)

y - 6 = (-3/4)(x - (-4))

y - 6 = (-3/4)(x + 4)

y = (-3/4)(x + 4) + 6

7 0
3 years ago
A local nursery sells a large number of ornamental trees every year. The owners have determined the cost per tree C for buying a
Karo-lina-s [1.5K]

The minimum cost is achieved when 150 trees are produced giving a minimum cost of $27.5

Polynomial is an expression that involves the <em>operations of addition, subtraction, multiplication of variables.</em>

Let C represent the cost for buying and caring for n trees. Given that:

C = 0.001n² - 0.3n + 50.

The minimum cost is at dC/dn = 0, hence:

dC/dn = 0.002n - 0.3

0.002n - 0.3 = 0

0.002n = 0.3

n = 150

C(150) = 0.001(150)² - 0.3(150) + 50 = 27.5

The minimum cost is achieved when 150 trees are produced giving a minimum cost of $27.5

Find out more at: brainly.com/question/25836610

8 0
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