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Pavel [41]
3 years ago
6

Explain why a mixed number is a rational number

Mathematics
1 answer:
Fed [463]3 years ago
5 0
Mixed numbers are all rational numbers because they can be expressed as a fraction.
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If 3x - 2y = 9 , 27x³- 8y³= 1377 , prove that xy = 4 <br><br><br><br>plzz answer this question... ​
solniwko [45]

Step-by-step explanation:

Here we are given that , the Value of

  • 3x - 2y = 9
  • 27x^3 - 8y^3 = 1377

And we need to find the prove that ,

  • xy = 4

We know a identity as ,

  • (a-b)^3 = a^3-b^3-3ab(a-b)

On cubing both sides of the given equation,

  • (3x-2y)^3 = 9^3

Simplify and then substitute ,

  • 27x^3-8y^3 -3(3x)(2y)(3x-2y ) = 729

  • 1377 - 18xy (9) = 729

  • 162xy = 1377-729

  • xy =\dfrac{648}{162}

  • xy = 4

Hence Proved !

8 0
3 years ago
Two trucks leave a warehouse at the same time. One travels due east at an average speed of 50 miles per hour, and the other trav
Keith_Richards [23]

Answer:Since the vehicles are travelling in the exact opposite direction, the sum of their rates is the rate at which they are separating. 48 + 64 = 112 miles per hour of separation.

728 miles ÷ 112 miles/hour = 6.5 hours

Step-by-step explanation:

8 0
3 years ago
A step function h(x) is represented by y = -2Lx] Which phrase best describes the range of the function h(x)?
Pani-rosa [81]

The phrase best describes the range of the function h(x) is option A: all real numbers.

<h3>What is a range of a function?</h3>

The range is the set of all values which the given function can output.

A step function h(x) is represented by y = -2|x|.

The mode of x gives the real number every time by putting the values.

The phrase best describes the range of the function h(x) is option A: all real numbers.

Learn more about appropriate domain and range here:

brainly.com/question/20073127

#SPJ1

5 0
2 years ago
The slope of the line below is -2. Which of the following is the point-slope form of the line?
madreJ [45]

Answer: the answer should be D

Step-by-step explanation:

6 0
3 years ago
Write the coefficient of x² in<br> X/3 (6x-1/2)
Igoryamba

Answer:

The coefficient of x² in the expression is 2

x/3(6x-1/2) = 6x²/3 - x/6

= 2x² - x/6

Hope this helps

7 0
3 years ago
Read 2 more answers
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