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nlexa [21]
3 years ago
10

Add polynomial expressions

Mathematics
1 answer:
lisov135 [29]3 years ago
7 0

12 {g}^{2}  + 4g - 1

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How many times is 8 2/3 larger than 6 2/3
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Answer:

1.3

Step-by-step explanation:

26/3 is 1.3times  larger than 20/3

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9.56 to the nearest hundreth
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1/3 x− 1/8 y=3 <br> 7y+9x=−2<br> please solve the system <br> 45 points for who does
photoshop1234 [79]

Answer:

x=6\\y=-8

Step-by-step explanation:

\frac{1}{3}x-\frac{1}{8}y=3\\ 7y+9x=-2

One method could be rewriting the second equation as x in terms of y and solving by replacing in the first equation.

7y+9x=-2\\9x=-2-7y\\x=\frac{-7y-2}{9}

Replace...

\frac{1}{3}x-\frac{1}{8}y=3

\frac{1}{3}(\frac{-7y-2}{9})-\frac{1}{8}y=3

\frac{-7y-2}{27}-\frac{1}{8}y=3

-\frac{7}{27}y-\frac{2}{27}-\frac{1}{8}y=3

add \frac{2}{27} on both sides.

-\frac{7}{27}y-\frac{1}{8}y=3+\frac{2}{27}

Combine like terms

\frac{(-7)(8)-(1)(27)}{(27)(8)} y=\frac{(3)(27)+2}{27}

\frac{-56-27}{216} y=\frac{81+2}{27}

\frac{-83}{216}y =\frac{83}{27}

Now, to get rid of the fraction and isolate y, multiply by the reciprocal or the inverted fraction.

(\frac{216}{-83}) \frac{-83}{216}y =\frac{83}{27}(\frac{216}{-83})

y=\frac{216}{-27}

Simplify

y=-8

Now replace the value of y in either equation to find x.

7y+9x=-2\\7(-8)+9x=-2\\-56+9x=-2

add 56

56-56+9x=-2+56\\9x=54\\

Divide by 9

\frac{9x}{9}=\frac{54}{9}\\  x=6

To check whether these values are accurate, replace in either equation both values and you should have an equality. In this case I'll do it in both equations.

\frac{1}{3}x-\frac{1}{8}y=3

\frac{1}{3}(6)-\frac{1}{8}(-8)=3

2-(-1)=3\\2+1=3\\3=3

-----------------------------------------------------------------

7y+9x=-2\\7(-8)+9(6)=-2\\-56+54=-2\\-2=-2

7 0
3 years ago
How many different towers can you make using one red, one blue and one yellow block?
icang [17]
You can make 6 different towers. If red was at the bottom, there'd be two different possibilities for that: red, yellow, blue, and red, blue, yellow. Same for if blue was at the bottom: blue, red, yellow, and blue, yellow, red. Yellow also applies: yellow, red, blue, and yellow, blue, red. 3*2=6, so 6 possible towers. 
7 0
3 years ago
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