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GaryK [48]
3 years ago
14

What is the sum? 3y/y^2+7y+10+2/y+2

Mathematics
2 answers:
saveliy_v [14]3 years ago
8 0
\frac{3y}{y^2+7y+10} + \frac{2}{y+2}  \\  \\ = \frac{3y}{(y+2)(y+5)} + \frac{2}{y+2}  \\  \\ = \frac{3y}{(y+2)(y+5)} + \frac{2(y+5)}{(y+2)(y+5)}  \\  \\ = \frac{3y+2(y+5)}{(y+2)(y+5)} = \frac{3y+2y+10}{(y+2)(y+5)}  \\  \\ = \frac{5y+10}{(y+2)(y+5)} = \frac{5(y+2)}{(y+2)(y+5)}  \\  \\ = \frac{5}{y+5}
VARVARA [1.3K]3 years ago
8 0

the answer is 5/y+5

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Giving the 2 sides of the triangle, find the range of all possible lengths for the third side.
Zinaida [17]

Answer:

  1. 2 < x < 16
  2. 3 < x < 19
  3. 14 < x < 18
  4. 4 < x < 16
  5. 13 < x < 47
  6. 0 < x < 10
  7. 1 < x < 7

Step-by-step explanation:

The minimum third side is the difference of the given sides; the maximum third side is their sum.

If you like, you can have a spreadsheet calculate these for you. That seems like more work than just doing them in your head.

4 0
3 years ago
The population of Clarksville is about 6,000 people. What is the population written as a whole number multiplied by a power of t
kupik [55]
Well 6,000 is actually equal to 1,000 x 6.

It turns out that 1,000 = 10 x 10 x 10 = 10^3

So the answer to your question is:

6 x 10^3
6 0
3 years ago
use the Pythagorean theorem to find the measure of the hypotenuse of right triangle of the measures of the legs are 30 meters an
DochEvi [55]
A² + b² = c²
30² + 72² = c²
<u />900 + 5,184 = c²
6084 = c²
(Square root both sides)
c = 78 m
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6 0
3 years ago
What is 7(f+3)+9=5(f-2)-3f
muminat

Answer:

f = -8

Step-by-step explanation:

7(f+3)+9=5(f-2)-3f

7f + 21 + 9 = 5f - 10 - 3f

7f + 30 = 2f - 10

5f = -40

f = -8

8 0
4 years ago
The mean monthly utility bill for a sample of households in a city is $70, with a standard deviation of $8. Between what two val
ddd [48]
Empirical rule dictates that, in a Bell-shaped distribution, 95% of data lies within 2 standard deviation on either side of the mean.

Therefore,
Lower value = mean-2SD = 70-2*8 = 70-16 = 54
Upper value = mean+2SD = 70+2*8 = 70+16 = 86

Then, 95% of the data lies between $54 and 84. These values can also be taken as the true mean of the population considering 95% confidence when sample mean has been calculated. In this regard, 2SD can be regarded as the margin error.
7 0
4 years ago
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