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SSSSS [86.1K]
2 years ago
9

Tìm m để phương trình có 1 nghiệm duy nhất x+2y-2z=2 3x+7y-z=5 2x+4y+mz=7

Mathematics
1 answer:
RSB [31]2 years ago
4 0

Rewrite the system of equations in matrix form.

\begin{bmatrix}1&2&-2\\3&7&-1\\2&4&m\end{bmatrix} \mathbf x = \mathbf b

This system has a unique solution \mathbf x = \mathbf A^{-1}\mathbf b so long as the inverse of the coefficient matrix \mathbf A exists. This is the case if the determinant is not zero.

We have

\det(\mathbf A) = m+4

so the inverse, and hence a unique solution to the system of equations, exists as long as m ≠ -4.

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F(x) = 9 + 4x f(0) = f(-1) = Find the value of x for which f(x) =6 x=
puteri [66]

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Step-by-step explanation:

Since we know f(x)=6, we can set it equal to the equation.

6=9+4x           [subtract 9 on both sides]

-3=4x              [divide both sides by 4]

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3 years ago
If a graph shows the function y=3x what are the coordinates of the intercepts
vladimir2022 [97]

Answer:

graph{3x+5 [-10, 10, -5, 5]}

x

intercept:  

x

=

−

5

3

 

y

intercept:  

y

=

5

Explanation:

For a linear graph, the quickest way to sketch the function is to determine the  

x

and  

y

intercepts and draw a line between the two: this line is our graph.

Let's calculate the  

y

intercept first:

With any function,  

y

intercepts where  

x

=

0

.

Therefore, substituting  

x

=

0

into the equation, we get:

y

=

3

⋅

0

+

5

y

=

5

Therefore, the  

y

intercept cuts through the point (0,5)

Let's calculate the  

x

intercept next:

Recall that with any function:  

y

intercepts where  

x

=

0

.

The opposite is also true: with any function  

x

intercepts where  

y

=

0

.

If we substitute  

y

=

0

, we get:

0

=

3

x

+

5

Let's now rearrange and solve for  

x

to calculate the  

x

intercept.

−

5

=

3

x

 

−

5

3

=

x

Therefore, the  

x

intercept cuts through the point  

(

−

5

3

,

0

)

.

Now we have both the  

x

and  

y

intercepts, all we have to do is essentially plot both intercepts on a set of axis and draw a line between them

The graph of the function  

y

=

3

x

+

5

:

graph{3x+5 [-10, 10, -5, 5]}



3 0
3 years ago
one sixth of the students in a school marching band are in the percussion section, the percussion section has 6 students, how ma
Igoryamba

Answer:

36 students

Step-by-step explanation:

because if 1/6 is 6 students then you have to multiply the 6 by 6

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