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AVprozaik [17]
3 years ago
7

The graph shows the voltage in a circuit changing as temperature increases from 100° to 600°. which is the best estimate for the

rate of change of the voltage over the interval?
1.5 volts
3 5 volts
5.5 volts
7.5 volts​

Mathematics
1 answer:
Nataliya [291]3 years ago
6 0

Answer:

3.5?

Step-by-step explanation:

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The system of equations may have a unique solution, an infinite number of solutions, or no solution. Use matrices to find the ge
Leno4ka [110]

Answer:

Infinite number of solutions.

Step-by-step explanation:

We are given system of equations

5x+4y+5z=-1

x+y+2z=1

2x+y-z=-3

Firs we find determinant of system of equations

Let a matrix A=\left[\begin{array}{ccc}5&4&5\\1&1&2\\2&1&-1\end{array}\right] and B=\left[\begin{array}{ccc}-1\\1\\-3\end{array}\right]

\mid A\mid=\begin{vmatrix}5&4&5\\1&1&2\\2&1&-1\end{vmatrix}

\mid A\mid=5(-1-2)-4(-1-4)+5(1-2)=-15+20-5=0

Determinant of given system of equation is zero therefore, the general solution of system of equation is many solution or no solution.

We are finding rank of matrix

Apply R_1\rightarrow R_1-4R_2 and R_3\rightarrow R_3-2R_2

\left[\begin{array}{ccc}1&0&1\\1&1&2\\0&-1&-3\end{array}\right]:\left[\begin{array}{ccc}-5\\1\\-5\end{array}\right]

ApplyR_2\rightarrow R_2-R_1

\left[\begin{array}{ccc}1&0&1\\0&1&1\\0&-1&-3\end{array}\right]:\left[\begin{array}{ccc}-5\\6\\-5\end{array}\right]

Apply R_3\rightarrow R_3+R_2

\left[\begin{array}{ccc}1&0&1\\0&1&1\\0&0&-2\end{array}\right]:\left[\begin{array}{ccc}-5\\6\\1\end{array}\right]

Apply R_3\rightarrow- \frac{1}{2} and R_2\rightarrow R_2-R_3

\left[\begin{array}{ccc}1&0&1\\0&1&0\\0&0&1\end{array}\right]:\left[\begin{array}{ccc}-5\\\frac{13}{2}\\-\frac{1}{2}\end{array}\right]

Apply R_1\rightarrow R_1-R_3

\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]:\left[\begin{array}{ccc}-\frac{9}{2}\\\frac{13}{2}\\-\frac{1}{2}\end{array}\right]

Rank of matrix A and B are equal.Therefore, matrix A has infinite number of solutions.

Therefore, rank of matrix is equal to rank of B.

4 0
3 years ago
Se tiene en una caja de canicas 10, 4 blancas y 6 negras
fgiga [73]

Answer:

Step-by-step explanation:

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3 years ago
Find the x and y intercepts<br> c) x + 3y - 12=0
mojhsa [17]
To get x intercept:
let y=0,x➖12=0,x=12
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To get y intercept:
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2 years ago
The situation that is best modeled by a discrete graph is
Dominik [7]

Answer:

Hope It helps you :) Cause the graph haves to show two unsame activities

Step-by-step explanation:

7 0
3 years ago
HELP!!! i already found x, can someone please help me find y asap?
tamaranim1 [39]

Answer:

Y = 166

Step-by-step explanation:

The missing angle measure in the small trapezoid is 93 degrees. So to solve for “y” you have to make the expression equal to 93.

y - 73 = 93

y = 166

Hope this helps! Pls give brainliest!

8 0
2 years ago
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