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Vanyuwa [196]
2 years ago
6

(Rational expression)Simplify:​

Mathematics
1 answer:
lukranit [14]2 years ago
7 0

Answer:

Step-by-step explanation:

2) a(a + b) + b(a - b) - 2ab / a² - b²

= a² + ab + ab - b² - 2ab / a² - b²

= a² - b² / a² - b²

= 1

3) [x - 1/(x - 1)(x - 2)] + [x - 2/(x -2)(x - 3)]

= (1 / x - 2) + (1 / x - 3)

= x - 3 + x - 2 / (x - 2)(x - 3)

= 2x - 5 / x² - 5x + 6

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Explain how to use prime factorization and the distiributivd property to express the sum of two whole numbers as a product?
Thepotemich [5.8K]
Https://www.dropbox.com/s/vnurvg2iqim6xnd/Screenshot%202016-10-18%2008.25.52.png?dl=0
5 0
4 years ago
The function given represents the temperature of a sauna set to 180°F. The temperature goes up and down throughout the day. Find
nasty-shy [4]

Answer:

The answer is below

Step-by-step explanation:

Given the function as:

f(x)=5sin(πx / 15)+180,

a) The angular frequency (ω) = 2π * frequency

but ω = π/15, hence:

π/15 = 2π * frequency

frequency = (π/15)/2π

frequency = 1/30 hertz

Period (T) = 1/frequency = 1/(1/30) = 30 seconds

b) The period is 30 seconds. This means that it reaches the maximum temperature every 30 seconds.

In one hour (3600 s), the number of times the function reaches a maximum temperature = 3600 s / 30 s = 120

3 0
3 years ago
The sum of two consecutive odd integers is 28. What are the integers?
Fantom [35]
The correct option is B): "<span>Let x = 1st integer. Let x + 2 = 2nd integer.</span><span>"
Given that "The sum of two consecutive odd integers is 28."
 
Now the difference between two odd numbers is 2. So this means that one odd number has to be greater than the other by 2.

Let the smaller number be 'X' therefore the bigger number will be 'x+2' thus x + (x+2) = 28
 
therefore, x + x + 2 = 28 now we subtract "2" from both the sides
therefore, 2x = 26 now dividing throughout by 2 we get:

x = 13 therefore, x + 2 = 13+2
                                    = 15
 
therefore, the numbers are 13 AND 15</span>
4 0
4 years ago
What does the range and mean tell you about data?
Nady [450]
The approximate middle value
4 0
3 years ago
Read 2 more answers
Find the value of the expression 2x3 + 3y2 − 17 when x = 3 and y = 4. A)26 B)85 C)943 D)1,927
Alborosie
Ok so assumin by 2x3 you mean 2x^3 or 2 times x cubed

PEMDAS
parenthasees
exponentes
multiply
divide
add
subtract

exponents

we have
2(3)^3+3(4)^2-17
exonents
3^3=27
4^2=16

now we have
2(27)+3(16)-17
distribute (multply)
2 tiems 27=54
3 times 16=48

now we have
54+48-17
add/subtract
85

answer is 85



3 0
4 years ago
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