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Dennis_Churaev [7]
3 years ago
8

Suppose the system below is consistent for all possible values of f and g. What can you say about the coefficients c and d? Just

ify your answer. x1 + 3x2 = f cx1 + dx2 = g
Mathematics
1 answer:
morpeh [17]3 years ago
7 0

Answer:

The answer is "d \neq 3c,f and g are arbitrary".

Step-by-step explanation:

The matrix of the device is increased  

\left[\begin{array}{ccc}1&3&f\\ c&d&g\\ \end{array}\right]

Reduce the echelon row matrix  

\left[\begin{array}{ccc}1&3&f\\ c&d&g\\ \end{array}\right] \\\\R_1 \leftrightarrow  R_2 \\\\\frac{R_2 -1}{C R_1 \to R_2}   \sim   \left[\begin{array}{ccc} c&d&g\\ 0 & \frac{3c-d}{c}& \frac{cf-g}{c}\\ \end{array}\right]

Therefore, if 3c\neq 0 is d \neq  3c, the device is valid.  Therefore d \neq are arbitrary 3c, g and f.

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Two consecutive integers are such that 7 times the biggest and then added to the smallest equals
Arturiano [62]

Answer:

61,62

Step-by-step explanation:

Let the smallest  number be x

Hence, the biggest number = x+1 [as it consecutive]

Hence,

7(x+1)+x=495

7x+7+x+495

8x=495-7

8x=488

x=61

Hence, smaller number=61, bigger number=62

7 0
3 years ago
5. Which two triangles in problems 1-4 are similar? Explain.<br> Help please
Shkiper50 [21]

Answer:

Triangle 1(ABC) and Triangle 3(XYZ) are similar since all their angles are equal

In Traingle XYZ m of angle Y is 85 degree..

Hope it helps u...

4 0
2 years ago
Hi if u could help me that would be great, have a nice day!!!
LenaWriter [7]

Hey there! I'm happy to help!

-------------------------------------------------------------------

<u>OVERVIEW</u>

Random sampling is when you take a sample of something completely at random. This is done to avoid bias and other stuff like that. It makes the data a lot more pure, real, and factual.

-------------------------------------------------------------------

<u>CHOOSING THE ANSWER</u>

OPTION A: A SCHOOL NEWSPAPER ASKS TEACHERS IN THAT MIDDLE SCHOOL HOW THEY FEEL ABOUT THE BEHAVIOR OF TWELVE YEAR OLD BOYS.

Does this seem very random to you? They're asking all the teachers who work at a certain junior high to talk about twelve year old boys. But, the teachers are definitely going to have some sort of bias towards twelve year old boys because they work with them, and since all of the samples are teachers, this is going to have biased data. Therefore, answer A is incorrect.

OPTION B: A NATIONAL SURVEY COMPANY PICKS ONE PHONE NUMBER FROM EACH AREA CODE IN AMERICA TO CALL AND ASK FOR AN OPINION ON CURRENT POLITICAL ISSUES.

This definitely seems a lot more random. There is only one phone number from each area code and there are many area codes in the United States so you get a bit of what everyone thinks about an issue. There is no bias because there is one random phone number and there are many different places this is done. Therefore, option B is correct.

OPTION C: MIGRANT WORKERS ARE SURVEYED ON THEIR OPINION OF MANDATORY HEALTH INSURANCE FOR COMPANIES.

This is not very random because they are asking a specific group of workers about a company and business ordeal. It is not very random because the migrant workers are specifically being asked, not random people. Therefore, option C is incorrect.

-------------------------------------------------------------------

<u>THE SOLUTION</u>

Therefore, Option B is the correct answer.

I hope that this helps! Have a wonderful day!

7 0
3 years ago
If f(n) = -6n + 2, find f (5/6)
joja [24]

f( \frac{5}{6} ) =  - 6( \frac{5}{6} ) + 2  \\ f( \frac{5}{6} ) = -  \frac{30}{6}  + 2 \\ f( \frac{5}{6} ) = - 5 + 2 \\ f( \frac{5}{6} ) = - 3
7 0
3 years ago
Read 2 more answers
6th grade math help me plzz
uysha [10]

Answer:

A-B really simple.

Step-by-step explanation:

5 0
3 years ago
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