What is the numerical coefficient of the term 12x

solmaris [256]

the answer would be x=6

to find it you would set 3x-2 equal to 2x+4 and solve because the two sides would be equal if the triangles are congruent

hope this helps :)

4 0

3 years ago

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Describe a free market economy

antoniya [11.8K]

DescriptionA market economy is an economic system in which the decisions regarding investment, production and distribution are guided by the price signals created by the forces of supply and demand.

6 0

3 years ago

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If you had 6 million dollar and you divided that by 1 billion what would you get. Then once you find that multiply your answer b

MA_775_DIABLO [31]

Answer: You get 0.06 which is 6 cents in terms of money.

Step-by-step explanation:

6 millions could be written as 6,000,000 and 1 billion could also be written as 1,000,000,000 so using this set up a fraction to divide it.

$\frac{6000000}{1,000,000,000}$ = 0.006

0.006 * 10 = 0.06

5 0

4 years ago

Which of the following is the product of the rational expressions shown below ? (x + 3)/(x + 2) * (x - 3)/(x - 2)

Molodets [167]

Answer:

Option D : $\frac{x^2-9}{x^2-4}$ is the correct answer.

Step-by-step explanation:

Given rational expression is:

$\frac{x+3}{x+2}*\frac{x-3}{x-2}$

In the first step of solving the rational expression, we will multiply the nominators and denominators.

$\frac{(x+3)(x-3)}{(x+2)(x-2)}$

$\frac{x^2-3x+3x-9}{x^2-2x+2x-4}$

Now we will solve the alike terms.

$\frac{x^2-9}{x^2-4}$

The product of rational expression is $\frac{x^2-9}{x^2-4}$

Hence,

Option D : $\frac{x^2-9}{x^2-4}$ is the correct answer.

8 0

3 years ago

Many utility companies promote energy conservation by offering discount rates to consumers who keep their energy usage below cer

aleksley [76]

Answer:

a. 0.1681 = 16.81% probability that all five qualify for the favorable rate.

b. 0.5283 = 52.83% probability that at least four qualify for the favorable rates

Step-by-step explanation:

For each Puerto Rico resident, there are only two possible outcomes. Either they qualify for discounted rates, or they do not. The probability of a person in the sample qualifying for discounted rates is independent of any other person in the sample. 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.

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