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3 years ago

99 POINTS!!! Find the least common denominator for these two rational expressions b/b^2+2b+1 -6/b^2+7b+6

Mathematics

2 answers:

ki77a [65]3 years ago

5 0

Answer:

49b^2 -36 = (7b -6)(7b +6)

so because there you missed some signs in these wrote choices

hope helped

Step-by-step explanation:

Zina [86]3 years ago

4 0

Answer:

$(b+1)^2(b+6)$

Step-by-step explanation:

The given rational expression is:

$\frac{b}{b^2+2b+1}-\frac{6}{b^2+7b+6}$

We factor the denominators to get:

$\frac{b}{(b+1)^2}-\frac{6}{(b+1)(b+6)}$

The least common denominator is the product of the highest powers of the common factors of the denominators.

Therefore the least common denominator is:

$(b+1)^2(b+6)$

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The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there a

Anettt [7]

Answer:

1) The size of the colony after 4 days is 6553 mosquitoes

2) After $t = 4.9\ days$

Step-by-step explanation:

To answer this question you must use the growth formula

$N = N_0e ^ {kt}$

Where

$N_0$ is the initial population of mosquitoes = 1000

t is the time in days

k is the growth rate

N is the population according to the number of days

We know that when t = 1 and $N_0=1000$ then N = 1600

Then we use these values to find k.

$1600 = 1000e ^{k(1)}\\\\\frac{1600}{1000} = e ^ k\\\\ln(\frac{1600}{1000}) = k\\\\k = 0.47$

Now that we know k we can find the size of the colony after 4 days.

$N = 1000e ^ {0.47(4)}\\\\N = 6553\ mosquitoes$

To know how long it should take for the population to reach 10,000 mosquitoes we must do N = 10000 and solve for t.

$10000 = 1000e ^ {0.47t}\\\\10 = e ^ {0.47t}\\\\ln(10) = 0.47t\\\\t = \frac{ln(10)}{0.47}\\\\t = 4.9\ days$

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3 years ago

3/4 of $530.40 show work

Minchanka [31]

Multiply $530.40 by 3/4. You get the equation
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3 years ago

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pantera1 [17]

Answer:

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Step-by-step explanation:

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3 years ago

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Leona [35]

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4 years ago

Which measure of center best represents this set of data? Number of television sets in the home: 4, 4, 2, 4, 4, 1, 3, 4, 2, 4 *

nataly862011 [7]

Answer:

Mean

Step-by-step explanation:

Given

$Data: 4, 4, 2, 4, 4, 1, 3, 4, 2, 4$

Required

Best measure of center

The mean is considered the best measure of center when there are no outliers in the given data.

Outlier is when a particular data set is far away from other datasets.

For instance: 20 is an outlier in the following data sets: $4, 4, 2, 20, 4, 4, 1, 3, 4, 2, 4$

Also, the given data are not open-ended.

An open-ended data is as follows: $1, 2, 3, 4, 5\ or\ more$

Since we do not have any of the above conditions, then the mean is the best center to use.

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3 years ago