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Jet001 [13]
3 years ago
14

Which system of equations is represented by the matrix below? 1 5 11 4 -6-3 A. y + 5x = 11 4y - 6x = -3 B. X+ 5y = 11 4x - 6y =

-3 C. 1 + 5y = 11 4x - 6y = -3​

Mathematics
1 answer:
Vitek1552 [10]3 years ago
3 0

Answer: Choice B

x+5y = 11\\4x-6y = -3

=====================================

Explanation:

The given matrix is

\left[\begin{array}{cc|c}1&5&11\\4&-6&-3\end{array}\right]

The numbers to the right of the vertical bar represent the values on the right hand side of each equation in the final answer.

The numbers to the left of the bar represent the x and y coefficients of the equations. The first number of any given row is the x coefficient. The second number is the y coefficient.

For instance, the first row has \begin{array}{cc}1&5\end{array} to indicate the x coefficient is 1, and the y coefficient is 5. We end up with 1x+5y or simply x+5y. Putting everything together, the first equation would be x+5y = 11

Through similar steps, the second equation is  4x-6y = -3

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Answer:

n= 5.57 years

Step-by-step explanation:

Giving the following information:

your final balance on an investment of 270$ invested at 10% was $459.00

<u>To calculate the time passed between values, we need to use the following formula:</u>

n= ln(FV/PV) / ln(1+i)

FV= 459

PV= 270

i= 0.1

n= ln(459/270) / ln (1.1)

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3 years ago
The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing (in mm3/s) when the diameter is 40 m
jeka94

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Answer:

  8000π mm^3/s ≈ 25,133 mm^3/s

Step-by-step explanation:

The rate of change of volume is found by differentiating the volume formula with respect to time.

  V = 4/3πr^3

  V' = 4πr^2·r'

For the given numbers, this is ...

  V' = 4π(20 mm)^2·(5 mm/s) = 8000π mm^3/s ≈ 25,133 mm^3/s

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<em>Additional comment</em>

By comparing the derivative to the area formula for a sphere, you see that the rate of change of volume is the product of the area and the rate of change of radius. This sort of relationship will be seen for a number of different shapes.

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The second one they do not have to pass trough (0,0)
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3 years ago
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Answer:

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