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2 years ago

Show Work to factor the binomials.

Mathematics

1 answer:

Sophie [7]2 years ago

7 0

$(14)\\\\x^2 + 14x +45\\\\=x^2 +5x +9x +45\\\\=x(x+5) +9(x+5)\\\\=(x+9)(x+5)\\\\(15)\\\\x^2 +18x +45\\\\=x^2 +15x +3x +45\\\\= x(x+15) +3(x+15)\\\\=(x+3)(x+15)\\\\\\(16)\\\\x^2+46x+45\\\\=x^2 +45x +x +45\\\\=x(x+45) +(x+45)\\\\=(x+45)(x+1)$

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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

Elodia [21]

Answer:

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Step-by-step explanation:

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3 years ago

From 2006 to 2010, the population of a town declined to 22,000. The population is expected to continue to decline at a rate of 2

Sphinxa [80]

The population in 2040 of the town can be solved using the formula

F = P( 1 -I)^n

Where F is the future population

P is the present population

I is the decline rate

N is the number of years

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3 years ago

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Helga [31]

Answer:

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3 years ago

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he probability that the San Jose Sharks will win any given game is 0.3694 based on a 13-year win history of 382 wins out of 1034

garri49 [273]

Answer:

0.0071 = 0.71% probability that the San Jose Sharks win 9 games in the upcoming month.

Step-by-step explanation:

For each game, there are only two possible outcomes. Either the Sharks win, or they do not. The probability of the Sharks winning a game is independent of any other game. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The probability that the San Jose Sharks will win any given game is 0.3694.

This means that $p = 0.3694$

An upcoming monthly schedule contains 12 games.

This means that $n = 12$

What is the probability that the San Jose Sharks win 9 games in the upcoming month?

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 9) = C_{12,9}.(0.3694)^{9}.(0.6306)^{3} = 0.0071$

0.0071 = 0.71% probability that the San Jose Sharks win 9 games in the upcoming month.

6 0

3 years ago

Wich decimal number best describes the fraction 137/6

Y_Kistochka [10]

Convert the fraction to a decimal by dividing the numerator by the denominator.
22.83 (the 3 is endless)

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3 years ago