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Vladimir79 [104]
3 years ago
6

What is the solution set of {x | x 5}?

Mathematics
1 answer:
german3 years ago
5 0

Answer:

3. the numbers between -5 and 5

Step-by-step explanation:

Let set A= \{x| x>-5\} and set B=\{x | x.

The solution set of A and B is the solution set of A∩B

The solution set of A is all the real number x which is greater than -5.

The solution set of B is all the real number x which is less than 5.

Therefore, the solution set of A∩B is all the real numbers between -5 and 5.

Hence, option (3) is correct.

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What is the domain of the function f(w) = 0.5(35 – 2w)? Explain your answer.
Igoryamba
The domain is all real numbers, the function is a variant of linear, which could be expressed in the form of y=mx+b as y = -w + 17.5, therefore all real numbers is the domain and the range.
5 0
3 years ago
Mr. Jones and Mr. Griebel each bought new shoes, Mr. Jones used a 20% off coupon and paid $82. Mr. Griebel used a $20 off coupon
anzhelika [568]

Answer:

Assuming they bought the same shoes, $82.5

Step-by-step explanation:

80% of Original Shoe price = $82

Divide by 0.8 to find the original price.

82 / 0.8 = 102.5

102.5-20=82.5

6 0
2 years ago
What are the median mode and range of the data set 16,17,17,17,19,21,23,24
Sav [38]
Mode 17,
Mean is 19.3
Median 18.
3 0
4 years ago
<img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B45%5D%7B55%3F%7D%20" id="TexFormula1" title=" \sqrt[45]{55?} " alt=" \sqrt[45]{55
m_a_m_a [10]

Answer:

6π cm³

Step-by-step explanation:

V = Ah ( A is the base area and h the height ), then

3πh = 18π ( divide both sides by 3π )

h =  = 6

Then the height of the smaller cylinder = 6 - 3 = 3 cm

V = 3π × 3 = 9π cm³ ← volume of smaller can

Step-by-step explanation:

7 0
3 years ago
2, 6, 10, 14, ...
8090 [49]

The sequence can be represented by 2 + 4x, where x is a whole number(x \geq 0 and x is an integer). By this, we should be able to plug in some whole number x and be able to get these values if they are in the sequence. To test this, let's set these numbers equal to 2 + 4x and confirm that there is a whole number x which equals the values selected.


2 + 4x = 90 \Rightarrow 4x = 88 \Rightarrow x = 22 \, \checkmark

2 + 4x = 150 \Rightarrow 4x = 148 \Rightarrow x = 37 \, \checkmark

2 + 4x = 160 \Rightarrow 4x = 158 \Rightarrow x = 39.5


When trying 160 with our equation, we find that x doesn't equal a whole number, thus our answer is C, or 160. To confirm our answer, we can test 170 and 210 and confirm that they both give us a value for x which is a whole number.


2 + 4x = 170 \Rightarrow 4x = 168 \Rightarrow x = 42 \, \checkmark

2 + 4x = 210 \Rightarrow 4x = 208 \Rightarrow x = 52 \, \checkmark

6 0
3 years ago
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