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natka813 [3]
3 years ago
10

Which of the following is the quotient of the rational expressions shown below?

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
3 0

Answer:

The correct answer is option B.

(4x + 8)/(5x - 5)

Step-by-step explanation:

It is given an expression in variable x

2x/(x - 1) ÷ 5x/(2x + 4)

<u>To find the correct option</u>

2x/(x - 1) ÷ 5x(2x + 4) = 2x/(x - 1) *  (2x + 4)/5x

 = 2x/(x - 1) * 2(x +2)/5x

 = [2x * 2 * (x + 2)]/[(x - 1)5x]

 = 4(x +2)/5(x - 1)

 = 4x + 8)/(5x - 5)

The correct answer is option B.

(4x + 8)/(5x - 5)

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Equations of lines in slope intercept form: through (5,3) and (0,2)
frosja888 [35]

Answer:

y=(x/5)+2

Step-by-step explanation:

Slope = rise over run = (3-2)/(5/0) = 1/5

b = y-intercept = 2

4 0
3 years ago
What is the probability that 6 rolls of a fair die will show four exactly 5 times?
storchak [24]

Answer:

very less

Step-by-step explanation:

When rolling a fair 6 sided die 5 times there are 6^5 possible combinations.

Of those, there are 5 ways to roll exactly four sixes, and each of those ways have 5 possible results on the die which has not rolled a six, plus there is 1 way to roll five sixes. 5*5+1=26 combinations with at least four sixes.

Now, take the number of results which fit your conditions, divide by the number of possible results and you get your answer: 26/7776 which can be reduced to 13/3338, a bit less than 0.4%

6 0
3 years ago
The graphs of the equations 4x - y = 6 and x + y = 4 intersect at
Mars2501 [29]
Solve by Substitution
D. X=2 Y=2.

5 0
3 years ago
Solve the math riddle below
Tju [1.3M]

Answer:

28 eggs

Step-by-step explanation:

It takes a hen and a half to lay an egg and a half in a day and a half - this means it takes 1 hen to lay 1 egg in a day and a half. Therefore, 1 hen will lay 4 eggs in 6 days, and 7 hens will lay 28 eggs in 6 days.

7 0
3 years ago
Read 2 more answers
The length of a rectangle is 6 units and its width is 4 units. What is the approximate length of the diagonal of the rectangle?
ss7ja [257]
The correct answer is:  [D]:  " 7.2 units" .
_______________________________________________________
Explanation:
________________________________________________________
Use the Pythagorean theorem:

a² + b² = c² ;

in which:  "6 units" and "4 units" equal the lengths of the right angle (formed by the rectangle);  and "c" is the length of the diagonal of the rectangle, or the "hypotenuse", of the right triangle formed by the rectangle;  We wish to solve for "c" ;
_______________________________________________

6² + 4² = c² ;  Solve for "c" ;

↔ c² = 6² + 4² ; 

         = (6*6) + (4*4) ;
 
         = 36 + 16 ;

        =  52 ;

    c² = 52 ;

Take the "positive square root" of each side of the equation; to isolate "c" on one side of the equation; and to solve for "c" ; 

  √(c²)  =  √52 ; 

    c = √52 ;  

At this point, we know the 7² = 49 ;  8² = 64 ;  so, the answer is somewhere between "7" and "8" ; yet closer to "7" ;  so among the answer choices given; 

The correct answer is:  [D]:  " 7.2 units" .
_________________________________________
However, let use a calculator:

c = √52 = 7.2111025509279786 ; which rounds to "7.2" ;
   which corresponds to:  
___________________________________________
Answer choice:  [C]:  " 7.2 units" .
___________________________________________
5 0
3 years ago
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