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4vir4ik [10]
3 years ago
8

I have problems Understanding systems Variable like this example

Mathematics
1 answer:
Anastaziya [24]3 years ago
7 0
<span><span><span><span>4x</span>−<span>2y</span></span>+z</span>=8
</span>Step 1: Add 2y to both sides        <span><span><span><span><span>4x</span>−<span>2y</span></span>+z</span>+<span>2y</span></span>=<span>8+<span>2y</span></span></span><span><span><span>4x</span>+z</span>=<span><span>2y</span>+8
</span></span>Step 2: Add -z to both sides         <span><span><span><span>4x</span>+z</span>+<span>−z</span></span>=<span><span><span>2y</span>+8</span>+<span>−z</span></span></span><span><span>4x</span>=<span><span><span>2y</span>−z</span>+8
</span></span>Step 3: Divide both sides by 4      <span><span><span>4x</span>4</span>=<span><span><span><span>2y</span>−z</span>+8</span>4</span></span><span>x
=<span><span><span><span>1/2</span>y</span>+<span><span><span>−1/</span>4</span>z</span></span>+<span>2

</span></span></span><span><span><span>−y</span>+z</span>=4
</span>Step 1: Add -z to both sides          <span><span><span><span>−y</span>+z</span>+<span>−z</span></span>=<span>4+<span>−z</span></span></span><span><span>−y</span>=<span><span>−z</span>+4
</span></span>Step 2: Divide both sides by -1     <span><span><span>−y</span><span>−1</span></span>=<span><span><span>−z</span>+4</span><span>−1</span></span></span><span>y

=<span>z−<span>4

</span></span></span><span><span>2z</span>=4
</span>Step 1: Divide both sides by 2  <span><span><span>2z/</span>2</span>=<span>4/2
</span></span><span>=z=2</span><span>
</span>
<span>

</span>
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An office manager recorded the number of reams of paper that were used for a printer each month for six months: 15, 10, 25, 19,
Virty [35]
A) 
<span>10, 15, 17, 19, 25 </span>
<span>Min: 10 </span>
<span>Median: 17 </span>
<span>Max: 25 </span>

<span>lower Quartile: (10+15)/2 = 12.5 </span>
<span>upper Quartile: (19+25)/2 = 22 </span>

<span>b) </span>
http://imageshack.us/photo/my-images/22/... 

<span>c) </span>
<span>Mean: (10 + 15 + 17 + 19 + 25)/5 = 17.2 </span>

<span>[ ( 17.2 - 10 )^2 + ( 17.2 - 15 )^2 + ( 17.2 - 17 )^2 + ( 17.2 - 19 )^2 + ( 17.2 - 25 )^2 ] / 5 = 24.16 </span>

<span>√( 24.16 ) ≈ 4.92 </span>
<span>-------------- </span>
<span>4) </span>

<span>[ 4. . .-2 . . . -12 ------> 3R1 - 4R2 ----> R2 </span>
<span>3. . .-1 . . . -3 ] </span>

<span>[ 4. . .-2 . . . -12 ------> R1 - R2 ----> R1 </span>
<span>0. . .-2 . . . -24 ] </span>

<span>[ 4. . ..0 . . . .12 ------> R1/4 ----> R1 </span>
<span>0. . .-2 . . . -24 ] R2/-2 ----> R2 </span>

<span>[ 1. . ..0 . . . .3 </span>
<span>0. . .1 . . . 12 ] </span>

<span>x = 3 & y = 12 

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
</span>
6 0
3 years ago
WILL GIVE 100 POINTS
padilas [110]

(a) The explicit rule to model the sequence formed by the number of seats in each row is a_{n}=15+3n

(b) The 35th row has 120 seats

Step-by-step explanation:

The rule of the nth term of an arithmetic sequence is

a_{n}=a+(n-1)d , where

  • a is the the first term
  • d is the common difference between each two consecutive terms

∵ There are 18 seats in the 1st row

∵ There are 21 seats in the 2nd row

∵ 21 - 18 = 3

∵ The number of seats is increased by 3 with each additional row

- The number of seats in each row represents an arithmetic

   sequence because there is a common difference between

   each two consecutive rows

∴ The number of seats in each row formed an arithmetic sequence

∵ The number of seats in the first row = 18 seats

∴ a = 18

∵ The number of seats in a row continues to increase by 3 with each

   additional row

∴ d = 3

- Substitute the values of a and d in the rule of nth term

∴ a_{n}=18+(n-1)3

- Simplify the right hand side

∴ a_{n}=18+3n-3

- Add like terms

∴ a_{n}=15+3n

(a) The explicit rule to model the sequence formed by the number of seats in each row is a_{n}=15+3n

∵ There are 120 seat in a row

- Substitute a_{n} by 120 in the rule above

∴ 120 = 15 + 3n

- Subtract 15 from both sides

∴ 105 = 3n

- Divide both sides by 3

∴ n = 35

∴ The number of the row is 35

(b) The 35th row has 120 seats

Learn more:

You can learn more about the sequences in brainly.com/question/7221312

#LearnwithBrainly

6 0
3 years ago
4−(−8)= please help i need it now
s344n2d4d5 [400]

Answer:

hope it helps...

- multiplied with another - gives us a +.

While opening a bracket we consider a sign of multiplication. so the equation becomes 4 + 8 which gives us 12. Thus 12 is the answer.

pls give brainliest for the answer

4 0
3 years ago
Read 2 more answers
Find the variable x.
grandymaker [24]

Answer:

x = 7

Step-by-step explanation:

The inscribed angle (5x - 3) is equal to half the measure of the intercepted arc

5x - 3 = 0.5(9x + 1) ← multiply both sides by 2

10x - 6 = 9x + 1 ( subtract 9x from both sides )

x - 6 = 1 ( add 6 to both sides )

x = 7

5 0
3 years ago
At the end of a​ party, 3/4 cup of dip is left. Jim divides 4/7 of the leftover dip equally between 2 friends. How much dip does
Vesnalui [34]

Answer:

First, we need to find the amount of dip that was divided amount the two friends.

We know that it is 4/7 of the left dip  

therefore:

amount divided among the two friends = (4/7) x (3/4) = 3/7 of the original amount of dip.

This amount is divided among two friends,

therefore:

amount that each friend gets = (3/7) / (2) = 3/14 = 0.2 of the amount of dip

tell me if this is completely wrong because i'm not good at this

7 0
3 years ago
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