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grandymaker [24]
3 years ago
10

Percy said that any real number for k would cause the system of equations to have no solution. Explain the error in Percy’s stat

ement.
6x + 4y = 14,

3x + 2y = k
Mathematics
2 answers:
MatroZZZ [7]3 years ago
5 0

Answer:

Except k=7, any real number for k would cause the system of equations to have no solution.

Step-by-step explanation:

In general a system of equations can be represented as ax+by=c and dx+ey=f. In order this system of equations to have NO SOLUTIONS a/d=b/a≠c/f. In our example a=6, b=4, c=14, d=3, e=2 and f=k. To apply the formula above, 6/3=4/2≠14/k. Hence k≠7. It can be concluded that except k=7, any real number for k would cause the system of equations to have no solutions.

Just for information, if k=7 the system will have infinitely many solutions.

Travka [436]3 years ago
5 0

Sample Response: k = 7 proves the equations are equivalent and, therefore, have infinitely many solutions. That is illustrated by the fact that multiplying 2 by 3x +2y = 7 will create the equivalent of 6x + 4y =14.

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ioda

Answer:

The answer is 5

Step-by-step explanation:

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3 years ago
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Anna35 [415]

Answer:leading Question

Step-by-step explanation:

Leading Question is the type of question that implicitly encourages a respondent to answer in a particular way. Leading questions are generally inappropriate as they lead to false and slanted information.

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This questions explicitly encourages the employee to think that there are Problems.

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This question directly blames the truck that it is at fault.

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4 years ago
A student earned grades of 84, 78, 84, and 72 out of 100 on her four regular tests. She scored 78% on the final exam and 86% on
Anna71 [15]

Her weighted mean grade is 81.2% if the student earned grades of 84, 78, 84, and 72 out of 100 on her four regular tests.

<h3>What is mean?</h3>

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

We have a student who earned grades of 84, 78, 84, and 72 out of 100 on her four regular tests. She scored 78% on the final exam and 86% on her class projects.

The weighted mean can be calculated as:

\rm = 0.4\times\dfrac{[(84+78+84+72)]}{4} + 0.3\times 78 + 0.1\times 86+ 0.2\times 87

After calculating, we get:

= 81.2%

Thus, her weighted mean grade is 81.2% if the student earned grades of 84, 78, 84, and 72 out of 100 on her four regular tests.

Learn more about the mean here:

brainly.com/question/22871228

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8 0
2 years ago
For what value of \\(x\\) is the function \\(\\frac{1}{x-2}\\) not defined?
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for the value of x=2 we have the function  f(x) = 1/(x-2) or f(x)=\frac{1}{x-2}  as undefined or not defined .

<u>Step-by-step explanation:</u>

<u>Function undefined: </u> A function is undefined when it gives results which are not defined for example , infinity  .

Here we have , Function f(x) = 1/(x-2) or f(x)=\frac{1}{x-2} . We need to find a value of for which this is not defined . Let's find out:

We can clearly see that it's a fractional function with numerator as 1 and denominator as x-2 . For a fractional function to be undefined it's denominator must be zero i.e.  x-2 = 0 or x-2=0

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Therefore, for the value of x=2 we have the function  f(x) = 1/(x-2) or f(x)=\frac{1}{x-2}  as undefined or not defined .

7 0
3 years ago
The area of a rectangular patio is 384 square feet.
Usimov [2.4K]

the ratio of the length and width = 3:2

Step-by-step explanation:

let the length be =x

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so, x X \frac{2x}{3} = 384

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or, x = 24 ( taking square root)

hence, length is 24

width is = 24 X (2/3)

=16

so the ratio of length and width = 24 : 16

= 3:2

3 0
3 years ago
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