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yaroslaw [1]
3 years ago
8

Write the set of all real numbers greater than 19 and less than 32 in set-builder notation.

Mathematics
1 answer:
Aleks04 [339]3 years ago
8 0

Answer: {xI x ∈ R, 19 < x < 32}

Step-by-step explanation:

This notation is:

{xI condition1, condition2, ...}

The first condition is:

From what set we take the values of x?

From the set of real numbers.

x ∈ R

The other conditions are the limitations that we have for x, in this case:

19 < x < 32

Then we can write this as:

{xI x ∈ R, 19 < x < 32}

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Which expression is equivalent.
kotykmax [81]

Option A is the correct answer

3 0
3 years ago
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Jim works at a furniture shop. He can assemble 88 chairs in 22 hours. If he can assemble c chairs in 1 hour, identify the equati
LekaFEV [45]
The answer would be:

22 * c = 88

If you wanted to know at all, c = 4

I hope this helps you! If it does, please rate Brainliest :D
8 0
3 years ago
Read 2 more answers
Use the elimination method to solve the system of equations.
ExtremeBDS [4]

Answer:

Option D. (8, – 4)

Step-by-step explanation:

3x + 4y = 8 ..... (1)

x – y = 12.... (2)

To solve the above equation by elimination method, do the following:

Step 1:

Multiply equation 1 by the coefficient of x in equation 2 i.e 1.

Multiply equation 2 by the coefficient of x in equation 1 i.e 3. This is illustrated below:

1 × Equation 1

1 × (3x + 4y = 8)

3x + 4y = 8 ...... (3)

3 × Equation 2

3 × ( x – y = 12)

3x – 3y = 36......(4)

Step 2:

Subtract equation 3 from equation 4. This is illustrated below:

. 3x – 3y = 36

– (3x + 4y = 8)

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

– 7y = 28

Divide both side by the coefficient of y i.e –7

y = 28/–7

y = – 4

Step 3:

Substitute the value of y into any of the equation to obtain the value of x. In this case, we shall substitute the value of y into equation 2 as shown below:

x – y = 12

y = –4

x – (–4) = 12

x + 4 = 12

x = 12 – 4

x = 8

Therefore, the solution to the equation above is (8, – 4)

4 0
4 years ago
75m^2=__________cm^2
GaryK [48]

Here is you're answer:

In order to solve this answer you have to see how many centimeters are in one meter than multiple that by 75.

  • 1m = 100cm
  • Now multiply
  • 75 \times 100 = 7500
  • = 7500cm

Therefore you're answer is "7500cm."

Hope this helps!

4 0
3 years ago
Find the minimum or maximum value of the function g(x)=−3x2−6x+5
polet [3.4K]

Step-by-step explanation:

g(x) = ax²+bx+c

g(x)=−3x²−6x+5

a = -3, b= -6, c = 5

since a <0 , the function has only maximum value.

=> g'(x) = 0

-6x -6 = 0

-6x = 6

x = -1

the maximum value => g(-1) =

-3(-1)²-6(-1)+5 = -3+6+5 = 9

the domain : {x | x € Real numbers}

the range : {y| y ≤ 9, y € Real numbers}

the function is increasing for x < -1

the function is decreasing for x > -1

4 0
3 years ago
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