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Feliz [49]
2 years ago
12

Check each set that includes the number shown.

Mathematics
1 answer:
zavuch27 [327]2 years ago
7 0

Answer:

Fourth option.

Sixth option.

Step-by-step explanation:

We know that:

- Any number you can find on the number line, is a Real number.

- Integers contains positive numbers, negative numbers and zero. Every Integer is a Rational number.

- A Rational number is that number that can be written in the following form:

\frac{a}{b}

Where "a" and "b" are integers (b\neq 0).

- An Irrational number cannot be written as a simple fraction.

- A Whole number is any of the numbers {{0, 1, 2, 3...}}. Every Whole number is a Rational number.

- Natural numbers contain  the set of positive integers{{1, 2, 3...}} or to the set of nonnegative integers {{0, 1, 2, 3...}}, Every Natural number is a Rational number.

 Based on this, since \frac{5}{9} is in the form \frac{a}{b} where a=5 and b=9, it is a Rational Number and therefore a Real number.

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A direct variation function contains the points (-9, -3) and (-12,4). Which equation represents the function?
Triss [41]

Answer:

y = -\frac{7x}{3} - 24

Step-by-step explanation:

We can model this function using the equation of a line:

y = ax + b

Where a is the slope of the line and b is the y-intercept.

To find the values of a and b, we can use the two points given:

(-9, -3):

-3 = a * (-9) + b

-9a + b = -3

(-12, 4):

4 = a * (-12) + b

-12a + b = 4

If we subtract the second equation from the first one, we have:

-12a + b - (-9a + b) = 4 - (-3)

-12a + 9a = 4 + 3

-3a = 7

a = -7/3

Then, finding the value of b, we have:

-12a + b = 4

28 + b = 4

b = -24

So the equation is:

y = -\frac{7x}{3} - 24

3 0
1 year ago
Graph the line y = kx +1 if it is known that the point M belongs to it: M(1,3)
tigry1 [53]

Answer:

M(x,y) = (1,3) belongs to the line y = 2\cdot x +1. Please see attachment below to know the graph of the line.

Step-by-step explanation:

From Analytical Geometry we know that a line is represented by this formula:

y=k\cdot x + b

Where:

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

k - Slope, dimensionless.

b - y-Intercept, dimensionless.

If we know that b = 1, x = 1 and y = 3, then we clear slope and solve the resulting expression:

k = \frac{y-b}{x}

k = \frac{3-1}{1}

k = 2

Then, we conclude that point M(x,y) = (1,3) belongs to the line y = 2\cdot x +1, whose graph is presented below.

3 0
2 years ago
©<br>By rounding to 1 significant figure, estimate<br>142.75 x 9.56​
prohojiy [21]

142.75 \times 9.56   = 1364.69

Therefore 1364.69 should be rounded up to 1000.

3 0
1 year ago
Read 2 more answers
"Our customer retention rate has decreased 10% from last quarter's goal of 250 consumers retained. We need to increase our curre
Lorico [155]
1. multiply 250 by 10% (250 * .1= 25)
2. Then subtract 25 from 250 (250 -25= 225)
2. Then multiply 225 by 16% (225 * .16 = 36)
3. Add 225 + 36 = 261. 
4. 261 is your final answer
6 0
2 years ago
David has twice as many cousins as Becky.
Sonja [21]

Answer:

24 cugini

Step-by-step explanation:

6x2=12

12x2=24

3 0
2 years ago
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