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Dennis_Churaev [7]
3 years ago
9

Use the roster method to write each of the given sets. (Enter EMPTY for the empty set.)

Mathematics
1 answer:
Kitty [74]3 years ago
6 0

Answer:

a) Empty set

b)  \{x : x \in N \text{ and } x < 13\}                                        

Step-by-step explanation:

Roster form is a comma separated list form of set.

a) The set of natural numbers x that satisfy x + 4 = 1.  

x + 4 = 1\\x = -3 \notin N

Thus, x is an empty set.

b) set-builder notation for the set  {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.

We use x to represent this set. Now x belongs to natural number and is less than equal to 12.

Thus, it can be written as:

\{x : x \in N \text{ and } x < 13\}

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Is this equation infinity many solution 5c+9=5c-12
MatroZZZ [7]

Answer:

The answer is no solution.

Step-by-step explanation: First, you would add + 12 to both sides of the equation so that you would have 5c + 21 = 5c. Then, you would subtract 5c from both sides of the equation. This would leave you with 21 = 0. Since this is not true, the equation would have no solution.

3 0
3 years ago
Read 2 more answers
Given that f(x) = 2x + 5 and g(x) = x − 7, solve for f(g(x)) when x = −3
dusya [7]

Answer:

-15

Step-by-step explanation:

start from the inside and go out.

So first plug in -3 into g(x)

g(-3) = -3 - 7 = -10

then plug in -10 into f(x)

f(-10) = 2(-10) + 5 = -15

so f(g(x)) = -15

5 0
3 years ago
Read 2 more answers
The student-to-faculty ratio at a small collage is 17:3. The total number of students and faculty is 740. How many faculty membe
kozerog [31]

There are 111 faculty members at the college and 629 students at the college.

Step-by-step explanation:

Given,

The student to faculty ratio = 17:3

Total number of 740.

Let,

x be the original number.

Number of students = 17x

Number of faculty = 3x

Number of students + Number of faculty = 740

17x+3x=740\\20x=740

Dividing both sides by 20

\frac{20x}{20}=\frac{740}{20}\\x=37

Number of students = 17x = 17*37 = 629

Number of faculty = 3x = 3*37 = 111

There are 111 faculty members at the college and 629 students at the college.

Keywords: ratio, multiplication

Learn more about multiplications at:

  • brainly.com/question/663692
  • brainly.com/question/6569012

#LearnwithBrainly

6 0
3 years ago
Mr. Shaw wants to replace the flooring his family room. The floor has an area of 262.8 square feet. If the room is 18 feet long,
iVinArrow [24]

Answer:

14.6

Step-by-step explanation:

The area of a rectangle is area=length*width

so we can substitute the numbers here, 262.8=18w

divide 262.8 by 18 to isolate the variable.

You get 14.6.

The width is 14.6.

5 0
3 years ago
The length of a rectangle is six times its width. If the area of the rectangle is 486 in 2 , find its perimeter.
seraphim [82]

w - width

6w - length

486 in² - area of the rectangle

(w)(6w) = 6w² - area of the rectangle

The equation:

6w² = 486     <em>divide both sides by 6</em>

w² = 81 → w = √81

w = 9 in

l = 6w → l = (6)(9) → l = 54 in

The perimeter: P = 2l + 2w

P = 2(54) + 2(9) = 108 + 18 = 126 in

<h3>Answer: The perimeter is 126in</h3>
5 0
3 years ago
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