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JulijaS [17]
2 years ago
13

Find the three inequalities which define the shaded region on the prid. Answer [5]

Mathematics
2 answers:
IrinaVladis [17]2 years ago
7 0

Answer:

x ≥ 0

y ≥ (1/2)x

y ≤ 4 - x

Step-by-step explanation:

Solid lines: ≤ and ≥

Dashed lines:  < and >

You need to create linear equations for the diagonal lines.

Shaded areas are ≥ if it is shaded above the line, and ≤ if shaded below the line.

<u>Inequalities</u>:

vertical line:   x ≥ 0

diagonal line with positive gradient:  y ≥ (1/2)x

diagonal line with negative gradient:  y ≤ 4 - x

nevsk [136]2 years ago
5 0

Answer:

Step-by-step explanation:

<em>1) y ≥ x/2</em>

<em>2) y ≤ -x</em>

<em>3) x ≥ 0</em>

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Solve for x in IJK Algebra
Oksi-84 [34.3K]

Answer:

x = 60

Step-by-step explanation:

The sum of the angles in a triangle is 180

40 + x+20 + x = 180

Combine like terms

2x+60 =180

Subtract 60 from each side

2x+60-60 =180-60

2x =120

Divide by 2

2x/2 =120/2

x = 60

5 0
3 years ago
Read 2 more answers
What are the steps for adding and subtracting mixed numbers with unlike denominators
Valentin [98]
Well, there are different ways to do this if you are really familiar with fractions, but "officially" :P

1) convert mixed numbers to improper fractions.

rule:  a b/c = (ac+b)/c

2)  make all fractions have a common denominator...

a/b+c/d

(a/b)(d/d)+(c/d)(b/b)

(ad/bd)+(cb/bd)

3)

The simplify your final answer with greatest common denominator or convert back to mixed number if needed...
5 0
3 years ago
Read 2 more answers
When the sum of \, 528 \, and three times a positive number is subtracted from the square of the number, the result is \, 120. F
aleksandr82 [10.1K]

Let x be the unknown number. So, three times that number means 3x, and the square of the number is x^2

We have to sum 528 and three times the number, so we have 528+3x

Then, we have to subtract this number from x^2, so we have

x^2-(3x+528)

The result is 120, so the equation is

x^2 - 3x - 528 = 120 \iff x^2 - 3x - 648 = 0

This is a quadratic equation, i.e. an equation like ax^2+bx+c=0. These equation can be solved - assuming they have a solution - with the following formula

x_{1,2} = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

If you plug the values from your equation, you have

x_{1,2} = \dfrac{3\pm\sqrt{9-4\cdot(-648)}}{2} = \dfrac{3\pm\sqrt{9+2592}}{2} = \dfrac{3\pm\sqrt{2601}}{2} = \dfrac{3\pm51}{2}

So, the two solutions would be

x = \dfrac{3+51}{2} = \dfrac{54}{2} = 27

x = \dfrac{3-51}{2} = \dfrac{-48}{2} = -24

But we know that x is positive, so we only accept the solution x = 27

6 0
3 years ago
Can someone help me?
Ann [662]

Answer:4/3

Step-by-step explanation:

2/6=x/4 cross multiply

6x=8 x=8/6 =4/3 Divide and simplify

7 0
3 years ago
An experiment was conducted to evaluate the success of an Ebola virus vaccine. The subjects were unaware of the treatment they w
Irina-Kira [14]

Answer:

your answer would be

B complexity

I agree that it is B but would suggest that you also consider the implications of each answer. They are all technically correct.

A is correct simply due to the fact that the longer time passes without an ebola cure, the more people can be potentially infected with it, resulting in less healthy individuals that may be able to volunteer to test potential ebola vaccines. Scientists need healthy volunteers from affected regions in order for rapid clinical trials to occur.

B is correct because of the nature of epidemics. A combination of technical, social, economic, and geographical obstacles slow the progress and dissemination of ebola vaccine information.

C is correct because finance impacts everything from finding resources used in studying ebola to distributing vaccines to affected areas. Economic imbalances or money shortages negatively impact research.

D is correct due to many social factors (more of a subjective answer). Some people think that vaccine distributors discriminate against certain ethnic groups. Others think the governments/other organizations are not effective enough at managing the situation. Still others feel that the search for a cure is not being approached in the right way. In all, there are multiple ways to oppose different aspects of ebola research.

Ultimately, B is correct because it seems to capture the meaning of A, C, and D together. 

6 0
3 years ago
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