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8090 [49]
2 years ago
10

Can you please give me an explanation on which one of these is right?

Mathematics
1 answer:
Luda [366]2 years ago
6 0

Answer:

yes it's right tick it right one

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1/(x+1) - 1/(x+2) = 1/2
katen-ka-za [31]
Please include the instructions; I assume your job is to find the value of x.

<span>1/(x+1) - 1/(x+2) = 1/2 would better be written as
   
     1            1            1
</span><span>-------- - ------------ = ----
  x+1           x+2        2

Identify the LCD.  It is (x+1)(x+2)(2).  Mult. all 3 terms of the equation by this LCD:

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

We can factor out the 2 from all terms:

x+2 - x - 1 = x^2 + 3x + 2

Let's move all terms from the left to the right side:

 0              = x^2 + 3x + 2 - x - 2 + x + 1

Then x^2 + 3x + 1 = 0.  This is a quadratic with a=1, b=3 and c=1.

What is x?

       -3 plus or minus sqrt( 9-4(1)(1) )        -3 plus or minus sqrt(5)
x = --------------------------------------------- = ---------------------------------
                             2                                                    2

I rather expected to obtain an integer value for x.


Why don't you give this problem a try yourself?  Suggestion:  First mult. every term by 2.  This will give you:

   2          2
------- - ------- = 1   and this may be slightly easier to work with.  Please
 x+1      x+2          give it a try:  try to find x that satisfies this equation. 
                              Important:  note that x cannot equal either -1 or -2.


</span>
8 0
3 years ago
The number of daily sales of a product was found to be given by S = 600xe−x2 + 600 x days after the start of an advertising camp
Elena-2011 [213]

Answer:

a. 20520

b. 12600

Step-by-step explanation:

Given the function S = 600xe^-x² + 600.

a. To find the average, we have to find the definite integral of the function because average, as it is known, is the sum of data points divided by the size of its dataset, this can be used for discrete data. Integral formula is just the continuous form of average, so we are using integral because we were given an interval of x= 0 to X = 30.

Let's integrate 100xe^x² first. Let –x² = u, this means –2xdx = du and we have dx = –du/2x. Also, when x = 0, u = –(0)² = –0 and when x = 30, u = –(30)² = –900. When we make our substitutions we have:

–600(xe^udu)/2x = –600(e^udu)/2 upon integrating that we have –600(e^u)/2. Applying our interval we have

–600[(e^900)/2 – (e^0)/2] ≈ – [– 3.7 – (1/2)] = –600 (–4.2) = 600 x 4.2 = 2520

Now let's integrate 600, with the interval x = 0 to x = 30 (we are using this interval here because the substitution we made didn't affect this).

We have, upon integrating:

600x.

Substituting our intervals we have:

600(30 – 0) = 600 x 30 = 18000.

Adding that up we have: 2520 + 18000 = 20520.

b. The same method is needed, just difference of interval.

Therefore, after integrating the first component with intervals u = 900 to u = 2500 (from x² = u) we have:

–600[(e^2500)/2 – (e^900)/2] ≈ –600[2.7 – 3.7] = –600(–1) = 600.

Then for the second component:

600x using x = 30 to x = 50

600(50 – 30) = 600 x 20 = 12000.

Adding that up we have:

12000 + 600 = 12600.

4 0
3 years ago
Carlotta asks 30 campers which outdoor activity they enjoy. Of these campers, 13 enjoyed swimming, 17 enjoy baseball, and 8 enjo
IgorC [24]
17+13=30-8=22
I did 17 plus 13 which equals 30, then I took 30 and subtracted 8 which equals 22!!!
8 0
3 years ago
Read 2 more answers
At Fireside Bookshop, you buy a book for $30.00. If the sales tax is 9.5%, what is the total price you pay for the book?
AfilCa [17]

Answer:

$32.85

Step-by-step explanation: 9.5% of 30 is 2.85

30 + 2.85 = 32.85

4 0
3 years ago
A rectangle is 25 in. long and 13 in. wide what is the area? gives brainliest to right answer 
Serggg [28]
The area is 325 in ^2
4 0
3 years ago
Read 2 more answers
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