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2 years ago

This is the same question as last time just not blurry.

Mathematics

2 answers:

AveGali [126]2 years ago

8 0

4. proportional
5. proportional
6. I don't know what functions are
7. It has a straight line and distance is proportional to time.

Eva8 [605]2 years ago

3 0

The second one is changing quicker as from 2 to 3 it changes 4 numbers whereas the second one from 2 to 3 changes 4.5

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True or False-Four measurable properties of matter are mass, weight, volume, and pressure.

blagie [28]

It’s probably true as matter is either gas liquid or solid

5 0

3 years ago

In Exercises 40-43, for what value(s) of k, if any, will the systems have (a) no solution, (b) a unique solution, and (c) infini

svet-max [94.6K]

Answer:

If k = −1 then the system has no solutions.

If k = 2 then the system has infinitely many solutions.

The system cannot have unique solution.

Step-by-step explanation:

We have the following system of equations

$x - 2y +3z = 2\\x + y + z = k\\2x - y + 4z = k^2$

The augmented matrix is

$\left[\begin{array}{cccc}1&-2&3&2\\1&1&1&k\\2&-1&4&k^2\end{array}\right]$

The reduction of this matrix to row-echelon form is outlined below.

$R_2\rightarrow R_2-R_1$

$\left[\begin{array}{cccc}1&-2&3&2\\0&3&-2&k-2\\2&-1&4&k^2\end{array}\right]$

$R_3\rightarrow R_3-2R_1$

$\left[\begin{array}{cccc}1&-2&3&2\\0&3&-2&k-2\\0&3&-2&k^2-4\end{array}\right]$

$R_3\rightarrow R_3-R_2$

$\left[\begin{array}{cccc}1&-2&3&2\\0&3&-2&k-2\\0&0&0&k^2-k-2\end{array}\right]$

The last row determines, if there are solutions or not. To be consistent, we must have k such that

$k^2-k-2=0$

$\left(k+1\right)\left(k-2\right)=0\\k=-1,\:k=2$

Case k = −1:

$\left[\begin{array}{ccc|c}1&-2&3&2\\0&3&-2&-1-2\\0&0&0&(-1)^2-(-1)-2\end{array}\right] \rightarrow \left[\begin{array}{ccc|c}1&-2&3&2\\0&3&-2&-3\\0&0&0&-2\end{array}\right]$

If k = −1 then the last equation becomes 0 = −2 which is impossible.Therefore, the system has no solutions.

Case k = 2:

$\left[\begin{array}{ccc|c}1&-2&3&2\\0&3&-2&2-2\\0&0&0&(2)^2-(2)-2\end{array}\right] \rightarrow \left[\begin{array}{ccc|c}1&-2&3&2\\0&3&-2&0\\0&0&0&0\end{array}\right]$

This gives the infinite many solution.

5 0

3 years ago

khalil has a circular cake that he plans to share equally betweeb himself and 5 friends. if tge cake is 8 inched in a diameter,

Fudgin [204]

Answer:

4.2

Step-by-step explanation:

5 0

2 years ago

Yvette has 366 eggs to put into cartons. She puts one dozen eggs into each carton. How many cartons does she fill?

Anna [14]

You are going to divide 366 by 12 you get 30.5 so 30 filled cartons
are you sure it's not 336 eggs??

7 0

2 years ago

How do u write an equation in standard form containing the points (0,2) and (-4,1)

-Dominant- [34]

Answer:

y=1/4+2

Step-by-step explanation:

If we're using y=mx+b, then m is the slope and b is the y intercept. The slope of the two points provided, is 1/4. The y intercept, is two.

8 0

3 years ago