1/3x-1/6y=4 6x-ay=8 in the system of equatuons above, a is a constant. if the system has no solution, what is the value of a?

Answers

Answer 1

Answer:

3

Explanation:

(1/3x-1/6y)×18=4×18 ⇒ 6x-3y=72

6x-ay=8  if a=3 ⇒ 6x-3y=8

72≠8

a=3 ⇒ system has no solution


Related Questions

What is the correlation coefficient r for the data set? enter your answer to the nearest hundredth in the box. r = x y 25 240 26 242 27 230 28 229 28 220 28 219 29 200 30 202 31 184 32 180

Answers

The use of the excel tool given in the image above will give you the correlation coefficient of r for the data set is as r=-0.96

What is the correlation coefficient  about?

Note that  one have to find first,  the mean of all of your the x-values, and then one can find the mean of all of the y-values.

Note that  one can use the excel to find the mean which will be 28.4 and 214.6 for both.

The next step is to find the standard deviation for x and y. Then, you have to put it into the formula that is given for the correlation coefficient."

When you use the excel, R will be  -0.9647 and when you round up to the nearest hundredth,  the answer will be -0.96.

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What do the indicators used by economists reveal?changes in production and demandchanges in employment levelschanges in priceschanges in the health of an economy

Answers

The indicators used by economists have the ability to reveal: A. changes in production and demand.

What is an indicator?

An indicator can be defined as a piece of economic data (metric) that is typically used by economists to analyze, interpret and reveal trends in current and future level of production and quantity of goods and services demand.

This ultimately implies that, the indicators used by economists are a piece of economic data that have the ability to reveal changes in the level of production and demand over a period of time.

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Based on this map, asian immigrants settled mostly in which of these states? florida arizona california

Answers

there you go you got it!!

Answer:

California and the second part is Texas

Explanation:

Which phrase from the passage most helps the reader analyze whether the princess chooses the lady or the tiger?reflect upon this questiona study of the human hearther soul at a white heatwho should have him

Answers

A phrase from this passage which would help readers analyze whether the princess chooses the lady or the tiger is: D. who should have him?

What is a context clue?

A context clue is the hint in a passage, which provides the meaning of an unfamiliar (unknown) word, phrase or sentence, that is literally hidden in plain sight by an author (writer).

Based on the passage from "The Lady, or the Tiger,” we can infer and logically deduce that a phrase which would help readers analyze whether the princess chooses the lady or the tiger is who should have him?

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When the fish tank water has a ph of 8 the hydronium ion concentration

Answers

When the PH is 7.0, the hydronium Ion Concentration is gotten as; [H3O+] = 1 × 10^(-7) M

How to find the Concentration of an Ion?

The formula to find the pH of an Ion concentration is;

pH = - log [H3O+]

where;

[H3O+] is the molar concentration of hydronium ion.

We are told that the pH is 8.0. Thus;

8.0 = - log [H3O+]

10^(-8) = [H3O+]

[H3O+] = 1 × 10^(-8) M

Thus, when pH = 7.0, we have;

7.0 = - log [H3O+]

[H3O+] = 1 × 10^(-7) M

Complete question is;

When the fish-tank water has a pH of 8.0, the hydronium ion concentration is 1.0 × 10-8 mole per liter. What is the hydronium ion concentration when the water has a pH of 7.0?

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Assume that the heat energy gained by the water is equal to the heat energy lost by the aluminum. use the specific heat equation to solve for the specific heat of aluminum. (hint: because heat energy is lost, the value of q is negative.)

Answers

The specific heat of Aluminum is C = Q/mΔT.

What is specific heat?

Specific heat is the amount of energy required for 1 kg on substance to change its temperature by 1 degree C.

The heat gained or lost by an object to the temperature changes of that object.

Q = m•C•∆T

where, m is the mass of Aluminum, C is the specific heat and ΔT is the change in temperature.

Specific heat of Aluminum is

C = Q/mΔT

By knowing the other values of the quantities, we can calculate the specific heat.

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Jeremiah is considering this source for his research project. how could he best summarize the main idea of the source?

Answers

Jeremiah could best summarize the main idea of his source by using option C.

What is an information source?

An information source simply refers to a system or medium through which information, knowledge and ideas may be generated and used by an author (writer) or researcher.

Also, an information source can either be a primary or secondary source of information.

In this scenario, Jeremiah could best summarize the main idea of his source by writing "The Cassini mission, funded by different space organizations, was launched in order to study the different moons of the planet Saturn."

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Complete Question:

Jeremiah is considering this source for his research project. How could he best summarize the main idea of the source?

A. NASA, the European Space Agency (ESA), and the Italian space agency, Agenzia Spaziale Italiana (ASI) collaborated in order to launch the Cassini mission that would study the planet Saturn.

B. NASA launched the Cassini spacecraft with the intention of studying the planet Saturn and its moons.

C. The Cassini mission, funded by different space organizations, was launched in order to study the different moons of the planet Saturn

D. The goal of the ambitious Cassini mission, funded by different space organizations, is to explore the ringed planet Saturn and study it in detail.

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