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xxTIMURxx [149]
3 years ago
14

1. Let’s see how many different routes there are to some of your favorite places. Remember, you always take the shortest path!

Mathematics
1 answer:
OleMash [197]3 years ago
7 0
.…….............zzzzzzzzzz
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Show that there do not exist scalar c1 c2 and c3 c1(-2,9,6)+c2(-3,2,1)+c3(1,7,5)= (0,5,4)​
fredd [130]

This is the same as showing the following system of equations doesn't have a solution:

\begin{cases}-2c_1-3c_2+c_3 = 0 \\ 9c_1 + 2c_2 + 7c_3 = 5 \\ 6c_1 + c_2 + 5c_3 = 4\end{cases}

or in matrix form,

\begin{bmatrix}-2&9&6\\-3&2&1\\1&7&5\end{bmatrix}\begin{bmatrix}c_1\\c_2\\c_3\end{bmatrix} = \begin{bmatrix}0\\5\\4\end{bmatrix}

The quickest way to check if there is a solution is to check whether the coefficient matrix is invertible. If its determinant is 0, then it is not invertible.

And the quickest way to show that the determinant is 0 is by observing that the third row is a linear combination of the first two rows:

(-2, 9, 6) - (-3, 2, 1) = (-2 + 3, 9 - 2, 6 - 1) = (1, 7, 5)

So there are indeed no such scalars <em>c₁</em>, <em>c₂</em>, and <em>c₃</em>.

5 0
3 years ago
Given a dilation with the origin O (0, 0), by observation determine the scale factor "K."
timurjin [86]
15 is 3 times 5. The point (5, 0) is dilated to the point (15, 0) by using a factor of
  K = 3.
7 0
3 years ago
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A researcher conducted an experiment to investigate the effects of working in crowded versus uncrowded conditions on the job sat
Artyom0805 [142]

In a research of investigating the effects of working in crowded versus uncrowded conditions on the job satisfaction of employees in a variety of work setting , working is a depending variable and crowding is an independent variable.

Given aim of the research is to investigate the effects of working in crowded conditions and uncrowded conditions.

We know that depending variable is a variable whose value is dependent on the other variable. Independent variable is a variable whose value does not dependent on the other variables.

In the given question working may be affected negatively in crowded environment means there will be less work in crowded environment and more work in uncrowded environment.

Hence the depending variable in research is working.

Learn more about depending variables at brainly.com/question/25223322

#SPJ4

4 0
2 years ago
in 2012 costsaver supermarkets sold groceries for £536480. it was increased by 12%on th 2011 figure. Find the value of the groce
raketka [301]
£600857.6Is the answer I believe.
4 0
3 years ago
Evaluate A 2 - B 2 for A = 4 and B = -5.
nikdorinn [45]
8+-10=-2  you multiply and combine the variables and numbers.
4 0
3 years ago
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