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il63 [147K]
2 years ago
7

Choose the correct Set-builder form for the following set written in Roster form: { − 3 , − 2 , − 1 , 0 , 1 }

Mathematics
1 answer:
ohaa [14]2 years ago
4 0

The correct Set-builder form of the set that is written in Roster form is {x|x is an integer and -3≤x≤1}.

<h3>What is an integer?</h3>

An integer is a number that can be written without using a fractional component. Integers such as 21, 4, 0, and 2048 are examples.

The correct Set-builder form of the set that is written in Roster form can be written as,

{x|x is an integer and -3≤x≤1}

Hence, The correct Set-builder form of the set that is written in Roster form is {x|x is an integer and -3≤x≤1}.

Learn more about Integer:

brainly.com/question/15276410

#SPJ1

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the area of a rectangle is 42 square inches and one side is 12 inches long . find the perimeter of the rectangle
valentinak56 [21]
The area is one side times the other side
Make the other side x.
12x=42
x=42/12=3.5
The perimeter is 2x+2y where x and y are sides of the rectangle.
P= 2(3.5)+2(12)=7+24=31 inches
Hope this helps. 
6 0
3 years ago
The top and bottom margins of a poster are each 15 cm and the side margins are each 10 cm. If the area of printed material on th
12345 [234]

Answer:

the dimension of the poster = 90 cm length and 60 cm  width i.e 90 cm by 60 cm.

Step-by-step explanation:

From the given question.

Let p be the length of the of the printed material

Let q be the width of the of the printed material

Therefore pq = 2400 cm ²

q = \dfrac{2400 \ cm^2}{p}

To find the dimensions of the poster; we have:

the length of the poster to be p+30 and the width to be \dfrac{2400 \ cm^2}{p} + 20

The area of the printed material can now be:  A = (p+30)(\dfrac{2400 }{p} + 20)

=2400 +20 p +\dfrac{72000}{p}+600

Let differentiate with respect to p; we have

\dfrac{dA}{dp}= 20 - \dfrac{72000}{p^3}

Also;

\dfrac{d^2A}{dp^2}= \dfrac{144000}{p^3}

For the smallest area \dfrac{dA}{dp }=0

20 - \dfrac{72000}{p^2}=0

p^2 = \dfrac{72000}{20}

p² = 3600

p =√3600

p = 60

Since p = 60 ; replace p = 60 in the expression  q = \dfrac{2400 \ cm^2}{p}   to solve for q;

q = \dfrac{2400 \ cm^2}{p}

q = \dfrac{2400 \ cm^2}{60}

q = 40

Thus; the printed material has the length of 60 cm and the width of 40cm

the length of the poster = p+30 = 60 +30 = 90 cm

the width of the poster = \dfrac{2400 \ cm^2}{p} + 20 = \dfrac{2400 \ cm^2}{60} + 20  = 40 + 20 = 60

Hence; the dimension of the poster = 90 cm length and 60 cm  width i.e 90 cm by 60 cm.

4 0
3 years ago
A sailboat's Saul has three sides that are all the same length. Each side measures x - 10 units. The sail's perimeter is 63 unit
ruslelena [56]

Answer:

The value of 'x' is 31 unit

Step-by-step explanation:

Given:

Measure of each side = x-10\ units

Perimeter of sails  = 63 units.

We need to find the value of x.

Solution:

Now we can see that from given data.

A sailboat's Saul has three sides.

Now assuming it to be triangle we get;

"Perimeter of triangle is equal to sum of all side."

So we can say that;

x-10+x-10+x-10 =63\\\\3x-30=63

Now adding both side by 30 we get;

3x-30+30=63+30\\\\3x=93

Now dividing both side by 3 we get;

\frac{3x}{3}=\frac{93}{3}\\\\x=31 \ units

Hence the value of 'x' is 31 units.

6 0
3 years ago
LaPeach Elementary School uses 4000 pencils each year. The school has 500 students. What is the unit rate per student?
mezya [45]

Answer:

8

Step-by-step explanation:

Unit per student = 4000/500 = 8

6 0
3 years ago
Read 2 more answers
3abc<br> What is the coeficient of c?
romanna [79]

Answer:

3

Step-by-step explanation:

3 is the coefficient of c as it is a constant, whereas a and b are variables, subject to change.

4 0
3 years ago
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