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Novosadov [1.4K]
3 years ago
12

Which of the following is equal to the rational expression when x≠-2 or -6? 3(x+2)/(x+6)(x+2)

Mathematics
1 answer:
lara31 [8.8K]3 years ago
4 0

Answer:

3(x+2)=0

3x+6=0

3x=-6

x=-2

for, (x+2)(x+2)=0

x2 +4x+4=0

x=-2 , or x=4

and is

(x+6)(x+2)

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Nine new employees, two of whom are married to each other, are to be assigned nine desks that are lined up in a row. If the assi
meriva

Answer:

The probability is 0.8

Step-by-step explanation:

The key to answering this question is considering the fact that the two married employees be treated as a single unit.

Now what this means is that we would be having 8 desks to assign.

Mathematically, the number of ways to assign 8 desks to 8 employees is equal to 8!

Now, the number of ways the couple can interchange their desks is just 2 ways

Thus, the number of ways to assign desks such that the couple has adjacent desks is 2(8!)

The number of ways to assign desks among all six employees randomly is 9!

Thus, the probability that the couple will have adjacent desks would be ;

2(8!)/9! = 2/9

This means that the probability that the couple have non adjacent desks is 1-2/9 = 7/9 = 0.77778

Which is 0.8 to the nearest tenth of a percent

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Step-by-step explanation:

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The total cost of $4 sharpeners and $7 folders is $30.05. If the cost of a sharpener is $a, and a folder is $2.80 more expensive
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9514 1404 393

Answer:

  a = $0.95

Step-by-step explanation:

The cost of a sharpener is 'a', and the cost of a folder is $2.80 more, so is a+2.80. The total cost of 4 sharpeners and 7 folders is ...

  4a +7(a+2.80) = 30.05

  11a = 10.45 . . . . . . . . . . . subtract 19.60

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The cost of a sharpener is a = $0.95.

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3 years ago
At 88°F, a certain insect chirps at a rate of 64 times per minute, and at 97°F, they chirp 118 times per minute. Write an equati
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Let " x "  denotes the temperature in degree Fahrenheit .

Let  " y " denotes the chirp rate per minute .

We have given that at 88 degree Fahrenheit , chirp rate is 64 times per minute and at 97 degree Fahrenheit , it is 118 times per minute .

We write this information in coordinate form ( x,y) .

We have ( x₁ ,y₁)  = ( 88 , 64 )  and  ( x₂ , y₂) = ( 97,118) .

                         y₂   - y ₁                     118  -   64                  54

Slope , m  =  ----------------------  =    ---------------------  =     -----------

                          x₂  - x₁                        97   -  88                   9

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Equation of line in slope intercept form is

y = m x + b  where  ' m' is slope and ' b ' is intercept .

Plug value of m  , we get

y = 6 x + b .

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64 = 6 * 88 + b

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64 - 528 =  b

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Thus we get b = - 464 .

So the equation become

y = 6 x - 464 .

Equation in slope intercept form representing the situation is

y = 6 x - 464 .

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