3 years ago

1

Mathematics

1 answer:

mylen [45]3 years ago

3 0

151.525 round to the nearest cent before answering

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For which values of k does the system of linear equations have zero, one, or an infinite number of solutions? [Note: not all thr

viktelen [127]

Answer:

The system has an infinite solution at k = 6, otherwise for any value of k, it has zero solution.

Step-by-step explanation:

Consider the system of linear equations:

$3x_{1} -x_{2}=2\;\;\;\;\;\;(1)\\ 9x_{1} -3x_{2}=k\;\;\;\;\;(2)$

The system of linear equations can have zero, one, or an infinite number of solutions:

simplify equation (1):

$x_{2}=3x_{1} -2$

substitute in equation (2), we get

$9x_{1} -3(3x_{1}-2)=k\\9x_{1} -9x_{1}+6=k\\0+6=k$

we cannot find the value of $x_{1}$ and $x_{2}$ .

so, there is no solution.

Multiply the equation (1) with 3 and put k is 6,

$3(3x_{1} -x_{2})=3\times2\\9x_{1} -3x_{2})=6$

it means both equations are overlapped. Then, the solution has infinite solutions.

Hence, the system has an infinite solutions at k is 6 otherwise for any value of k it has no solution.

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What is the equation of the line of the best fit for the following data?

aksik [14]

C The answer is y=1.560-22.105

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The screenshot is there please answer fast no explanation needed.

Vanyuwa [196]

The given equation is,

$y=4x-5$

The graph of the function is shown below with the table of values use to plot the graph

Hence, the correct option is Option A.

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Plz help I dont get it

mamaluj [8]

Answer:

Step-by-step explanation:

The required answer but,i may be wrong.

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Factor completely, then place the factors in the proper location on the grid. a2 - 5a - 6

horrorfan [7]

Answer:

(a-6)(a+1)

Step-by-step explanation:

factor a2-5a-6

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