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3 years ago

List the potential solutions to 2log x − log3 = log3 from least to greatest. X=? X=?

Mathematics

2 answers:

barxatty [35]3 years ago

8 0

Answer:

X=+3 or x=-3

Step-by-step explanation:

To solve this question we will have to be careful

2logx-log3=log3

Let's add log 3 to both sides

2logx=log3+log3

Which can be written as

2logx=log(3*3)

Logx^2=log9

Let's the log on both sides be cancelled

X^2=9

Square root both sides

x=+or-√9

Therefore

X=-3

X=+3

Alchen [17]3 years ago

4 0

Answer:

X=-3

X=3

Step-by-step explanation:

2log x − log3 = log3

logx^2=log3+log3

logx^2=log3*3

logx^2=log9

x^2 =9

x=+-sqrt (9)

X=-3

X=3

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3(b - 15) =9 solve for b

shepuryov [24]

B = 18 because 18-5 is equal to 3 and 3x3 is equal to 9.

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3 years ago

Why is 1+(-5) equal to -4

erica [24]

1 + (-5) becomes 1 - 5 because you are adding a negative number.

1 - 5 is -4

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4 years ago

Watch help video

Evgen [1.6K]

Answer:

20 dimes and 2 quarters

Step-by-step explanation:

x = number of dimes

y = number of quarters

minimum is greater than or equal to ≥

x+y ≥16

no more than is less than or equal to ≤ ,

value of dime is $ 0.10

value of quarter is $0.25 so

0.10x + 0.25y ≤ 3.00

Rewrite inequalities in terms of y:

y ≥16 - x

(0.25/0.25)y ≤ (3.00/0.25)-(0.10/0.25)x→

y≤12 - 0.4x

Graph system: see file

6 0

3 years ago

A rectangular plot of ground is 30 meters longer than it is wide. its area is 10,000 square meters.

dimulka [17.4K]

A = W· L
10,000 = W ( W +30 ) = W² + 30 W
W² + 30 W - 10,000 = 0
W = $\frac{-30+ \sqrt{900+40000} }{2}= \frac{-30+202.24}{2} = 86.12$
L = 86.12 + 30 = 116.12
Width of a plot is 86.12 m and lenght is 116.12 m.
Check : A = 116.12 · 86.12 ≈ 10,000

6 0

3 years ago

g A fair coin is tossed 20 times. The number of heads observed is the count X of successes. Give the distribution of X . Choose

Nuetrik [128]

Answer:

We assume that we have a fair coin that is $p(Head)=p(Tails)=0.5$

For this case we define the random variable X as "number of heads observed in 20 times". The distribution for X is given by:

$X \sim Binom(n=20, p=0.5)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

Solution to the problem

We assume that we have a fair coin that is $p(Head)=p(Tails)=0.5$

For this case we define the random variable X as "number of heads observed in 20 times". The distribution for X is given by:

$X \sim Binom(n=20, p=0.5)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

3 0

3 years ago