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Anna35 [415]
3 years ago
5

On a coordinate plane, the point (3, 6 ) lies on the graph of the function f(x)=3x^2-bx+12

Mathematics
2 answers:
masya89 [10]3 years ago
8 0

Answer:

b=11

Step-by-step explanation:

replace x with 3 and f(x) with 6 solve for b and you get b=11

Llana [10]3 years ago
6 0
First find the value of "b" by substituting the co ordinates.
then you get as b=8.
next prove that right hand side is equal to the left hand side.
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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)

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simplify equation (1):

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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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Plz help ❤️ 2 questions worth 13 points! Thanks!! :)))
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ANSWER

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