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bekas [8.4K]
3 years ago
7

Let the universal set be the set of integers and let A = {x | x^2 ≤ 5}. Write A using the roster method.

Mathematics
1 answer:
Zarrin [17]3 years ago
8 0

Answer:

Step-by-step explanation:

Given that Z the set of integers is the universal set and

A is given in set builder form.

A = {x | x^2 ≤ 5}

To convert this into roster form, we can find solutions for x

When x^2\leq 5\\|x|\leq \sqrt{5} =2.236

i.e. all integers lying between -2.236 and 2.236

The only integers satisfying this conditions are

-2,-1,0,1,2

Hence A in roster form is

A={-2,-1,0,1,2}

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What is the product of 2•2
lisabon 2012 [21]

Answer:

4

Step-by-step explanation:

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7 0
2 years ago
I don't understand this
Anton [14]

Answer: (2,1)

Step-by-step explanation:

The two equations given are:

           y = 3 -x

           y = x - 1

The question is asking to determine the point of intersection for two linear functions aka two lines.

Step #1: Both functions must be in slope intercept form which is y = mx+b. In this case, this step can be skipped because both functions are in slope form. At an intersection, x and y must have the same value for each equation. This means that the equations are equal to each other. Therefore, we can set both equations equal to each other to solve for x.

  • Add x to both sides to get 2x - 1 = 3
  • Add 1 to both sides to get 2x = 4
  • Divide both sides by 2 to get x = 2

Step #2: We found the x-coordinate, but we need to find the y-coordinate. We know that the x-coordinate is 2, so substitute the number 2 into any of the given equations. So, either into y = 3 - x or y = x - 1.

The point of intersection is (2,1).

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3 0
2 years ago
If two points on line l above have coordinates (0, A) and (2, −3), and the slope of the line is A, then what is the value of A?
Vlada [557]

Answer:

A = -1

So, option (B) is the correct answer.

Step-by-step explanation:

The two points on line have coordinates: p (x₁, y₁) = (0, A) and q(x₂, y₂) = (2 , -3)

Slope of line = A

Slope of line = \frac{y_{2} - y_{1}}{x_{2} -x_{1}}

Now since the slope of line is A  and its has two coordinates (0, A) and (2 , -3), ∴

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

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A = -1

So, option (B) is the correct answer.

6 0
3 years ago
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