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katovenus [111]
3 years ago
5

I'm not good with ordering fractions from smallest to largest. Can help anyone help with this problem?

Mathematics
1 answer:
ziro4ka [17]3 years ago
3 0
5/8,4/6,3/4,1/2 this is the answer without simplifying
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Please solve the problem ​
jek_recluse [69]

Treat the matrices on the right side of each equation like you would a constant.

Let 2<em>X</em> + <em>Y</em> = <em>A</em> and 3<em>X</em> - 4<em>Y</em> = <em>B</em>.

Then you can eliminate <em>Y</em> by taking the sum

4<em>A</em> + <em>B</em> = 4 (2<em>X</em> + <em>Y</em>) + (3<em>X</em> - 4<em>Y</em>) = 11<em>X</em>

==>   <em>X</em> = (4<em>A</em> + <em>B</em>)/11

Similarly, you can eliminate <em>X</em> by using

-3<em>A</em> + 2<em>B</em> = -3 (2<em>X</em> + <em>Y</em>) + 2 (3<em>X</em> - 4<em>Y</em>) = -11<em>Y</em>

==>   <em>Y</em> = (3<em>A</em> - 2<em>B</em>)/11

It follows that

X=\dfrac4{11}\begin{bmatrix}12&-3\\10&22\end{bmatrix}+\dfrac1{11}\begin{bmatrix}7&-10\\-7&11\end{bmatrix} \\\\ X=\dfrac1{11}\left(4\begin{bmatrix}12&-3\\10&22\end{bmatrix}+\begin{bmatrix}7&-10\\-7&11\end{bmatrix}\right) \\\\ X=\dfrac1{11}\left(\begin{bmatrix}48&-12\\40&88\end{bmatrix}+\begin{bmatrix}7&-10\\-7&11\end{bmatrix}\right) \\\\ X=\dfrac1{11}\begin{bmatrix}55&-22\\33&99\end{bmatrix} \\\\ X=\begin{bmatrix}5&-2\\3&9\end{bmatrix}

Similarly, you would find

Y=\begin{bmatrix}2&1\\4&4\end{bmatrix}

You can solve the second system in the same fashion. You would end up with

P=\begin{bmatrix}2&-3\\0&1\end{bmatrix} \text{ and } Q=\begin{bmatrix}1&2\\3&-1\end{bmatrix}

3 0
3 years ago
What is the value of x in the expression, x 2 = 9? Type the NUMBER in the box below.
alekssr [168]
The value of x in the expression, x 2 = 9 is 4.5

9 divided by 2 = 4.5
7 0
2 years ago
Which is the value of x?<br> X=16 <br> X=29<br> X=44<br> X=46
Dahasolnce [82]

Answer:

x = 16

I hope this helps!

5 0
3 years ago
Read 2 more answers
Clara found the product of 3 – 6y2 and y2 + 2. Her work is shown below. (3 – 6y2)(y2 + 2) = 3(y2) + (–6y2)(2)    = 3y2 – 12y2  
Marizza181 [45]
<span>No, she did not use the distributive property correctly.</span>
3 0
3 years ago
Read 2 more answers
A company gives raises once a year. Amir's present salary is $12,000. His manager would like to raise Amir's salary to $84,000.
krek1111 [17]
Since $12,000 would be her whole current salary, I would just divide $84,000 by $12,000 because i know 12 can go into 84 evenly.

84,000 ÷ 12,000 = 7

Since it goes in to 84,000 evenly by 7 times, the raise would be 700%.
6 0
3 years ago
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