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zlopas [31]
3 years ago
7

Solve the problem and then click on the correct graph. |x| + y ≥ 0

Mathematics
2 answers:
Darina [25.2K]3 years ago
3 0
Given that <span>|x| + y ≥ 0, this means that y ≥ -|x|

Because |x| is always positive, then -|x| will always be negative.

The correct graph is the second graph.
</span>
Natalka [10]3 years ago
3 0

Answer with explanation:

The given Inequality is

 | x |+ y ≥ 0

As, |x|=x,when ,x ≥ 0

and ,|x|= -x,when , x<0.

So,inequality reduces to

1.→x + y ≥ 0, when , x ≥ 0.

2.→-x + y ≤ 0,when , x≥y and , x<0.

And,3.→ -x + y ≥ 0,when , x ≤ y and , x<0.

So, these are three equation for which we have to draw the graph.which i am writing again as we have to draw the graph of these equation

1. x+y ≥0, x≥ y and,x ≥ -y,x≥0.

2. - x + y ≤ 0, when , x ≥ y,and x<0.

3. -x + y ≥0,when , x≤y and x<0.

Option B

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4 0
4 years ago
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Which answer is the approximate standard deviation of the data set?
Ierofanga [76]

Answer:  A. 6.5

Step-by-step explanation:

Here, the given set = { 15, 19 3, 12, 17, 2, 2, 8}

Mean, \overline{ x} = \frac{15+19+3+12+17+2+2+8}{8} = \frac{78}{8} = 9.75

Number of elements, n = 8

\frac{\sum (|x-\overline{x}|)^2}{n}=42.4375

Thus, the standard deviation, \sigma =\frac{\sqrt{\sum(|x-\overline{x}|)^2} }{n}=\sqrt{\frac{339.5}{8}}=\sqrt{42.4375} = 6.51440711\approx 6.5

⇒ Option A is correct.

4 0
3 years ago
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What is the slope of the line
lesantik [10]

Answer:

Step-by-step explanation:

(0,2)  (1,0)

slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{0-2}{1-0}\\\\=\frac{-2}{1}\\\\=-2

7 0
3 years ago
PLSSSS Plsssss help quick
Neporo4naja [7]

Answer:

(x, y) (1,5.5) , (2,5.75) (3,5.83) (4,5.875) (5,5.9)

Step-by-step explanation:

The x values lie on the horizontal line and the y values lie on the vertical line.

In order to find the value of y you must substitute the value of x in the equation given and you must plot you graph using the answers you got which I wrote for you.

NOTE:if there's anything you don't understand let me know.

5 0
3 years ago
The tens digit of a two-digit number is five more than the units digit. Seven times the sum of the digits of this number is 3 le
I am Lyosha [343]

Answer:

43

Step-by-step explanation:

Let

The unit digit = x

The tens digit = y

The number = 10x + y

The tens digit of a two-digit number is five more than the units digit.

y = x + 5

Seven times the sum of the digits of this number is 3 less than the number itself.

7(x + y) = 10x + y - 3

7x + 7y = 10x + y - 3

Find the number.

We substitute x + 5 for y

7x + 7(x + 5) = 10x + (x + 5) - 3

7x + 7x + 35 = 10x + x + 5x - 3

14x + 35 = 11x + 5x - 3

Collect like terms

35 + 3 = 11x + 5x -14x

38 = 16x - 14x

38 = 2x

x = 38/2

x = 19

Solving for y

y = x + 5

y = 19 + 5

y = 24

The number = 19 + 24

= 43

3 0
3 years ago
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