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2 years ago

What is 29/12 as a decimal

Mathematics

1 answer:

ivolga24 [154]2 years ago

5 0

Answer:

2.4166666666 (6 forever)

Step-by-step explanation:

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HELPPP PLZZ I REALLY NEED HELP

gogolik [260]

Answer: A.

The reason is because if you're adding a negative to a number, it's subtraction, which is in the expression.

6 0

3 years ago

Read 2 more answers

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

2 years ago

I walked forward 5m, back 3m, then forward 7m what is my displacement

vladimir2022 [97]

Answer:

Step-by-step explanation:

5 - 3 + 7 = 9

5 0

3 years ago

Read 2 more answers

The class president wants to survey the students at the high school about the selection of food offered by the school cafeteria.

lesantik [10]

Answer:

C . Sample : 6 boy and 7 girls

Step-by-step explanation:

Data :

Boys = 150

Girls = 175

So ratio between boys and girls

175/150 = 1.67

So when boy is 6

6 ×1.667 = 7

5 0

2 years ago

Is (-3,-9) a solution of the equation y = 3x ?<br> O YES<br> O NO<br> O NOT A SOLUTION

melomori [17]

Answer:

Yes, (-3, -9) is a solution.

Step-by-step explanation:

y = 3x (-3,-9)

-9 = 3(-3)

-9 = -9

4 0

2 years ago