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NeX [460]
3 years ago
9

What is the solution to the rational equation x over 2x plus 1 minus 1 over 4 equals 2 over 2x plus 1

Mathematics
1 answer:
natali 33 [55]3 years ago
3 0
X 1 2 ----- + ---- = ------- so the common denominator will be 4(2x-1) 2x-1 4 2x -1 4x +2x-1 8 ----------- = --------- 4(2x-1) 4(2x-1) 6x-1 8 ---------- = -------- make the restriction for x so 2x-1 =0 ,result x=1/2 4(2x-1) 4(2x-1) so what mean that x not can being equal 1/2 6x-1=8 6x = 9 x= 9/6 x = 3/2
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Reserve Problems Chapter 4 Section 5 Problem 2 A laptop company claims up to 10.1 hours of wireless web usage for its newest lap
Viktor [21]

Answer:

0.1151

Step-by-step explanation:

Given that a laptop company claims up to 10.1 hours of wireless web usage for its newest laptop battery life. However, reviews on this laptop shows many complaints about low battery life. A survey on battery life reported by customers shows that it follows a normal distribution with mean 9.5 hours and standard deviation 30 minutes.

If X is the battery life then X is N(9.5, 0.5)

(we convert into one unit for calculations purpose here hours)

a) the probability that the battery life is at least 10.1 hours

=P(X\geq 10.1)\\=P(Z\geq \frac{10.1-9.5}{0.5} )\\= P(Z\geq 1.2)\\=0.1151

we get the probability that the battery life is at least 10.1 hours is 0.1151

4 0
3 years ago
What is the sum of the first 100 terms of the sequence 4,9,14,19, ...?
Nadya [2.5K]

Answer:

25150

Step-by-step explanation:

First, we have to see that this is an arithmetic sequence... since to get the next element we add 5 to it.  (a geometric sequence would be a multiplication, not an addition)

So, we have a, the first term (a = 4), and we have the difference between each term (d = 5), and we want to find the SUM of the first 100 terms.

To do this without spending hours writing them down, we can use this formula:

S = \frac{n}{2} * (2a + (n - 1) * d)

If we plug in our values, we have:

S = \frac{100}{2} * (2 * 4 + (100 - 1) * 5) = 50 * (8 + 99 * 5)

S = 50 * (8 + 495) = 50 * 503 = 25150

8 0
3 years ago
Read 2 more answers
What is 99,056 divided by 52
telo118 [61]
Answer: 1,904.92308 if you round it that will be 1904.9 or 1904.92

I used a calculator
4 0
3 years ago
Find a ⋅ b. a = <5, 2>, b = <4, 5>
cestrela7 [59]

Answer:

  30

Step-by-step explanation:

For a = <xa, ya> and b = <xb, yb>, the dot product is the sum of products ...

  a·b = (xa)(xb) + (ya)(yb)

Substituting the given information, you have ...

  a·b = 5·4 + 2·5 = 20 + 10

  a·b = 30

_____

Some graphing calculators can do such math. There are also dot product calculators available on the Internet. If you have quite a few of these to calculate, you can put the appropriate formula into a spreadsheet.

6 0
3 years ago
7.6375 correct to 2 decimal place
ANTONII [103]
7.6375 =

1 Decimal Place = 7.6
<span>2 Decimal Place = 7.64
</span><span>3 Decimal Place = 7.638
</span><span>4 Decimal Place = 7.6375
</span>
So the answer is 7.64   .
The 3 rounds up because 7 is bigger than 5... 

5 0
3 years ago
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