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nalin [4]
3 years ago
13

Which statement is true about the difference 2 square root of 7 − square root of 28? It is rational and equal to −2. It is ratio

nal and equal to 0. It is irrational and equal to −2square root of 7. It is irrational and equal tosquare root of 7.
Mathematics
1 answer:
scZoUnD [109]3 years ago
4 0
2\sqrt{7}  -  \sqrt{28}  = 2 \sqrt{7} -  \sqrt{4 \times 7 }  =2 \sqrt{7} - 2 \sqrt{7 }   = 0
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Long division<br> 3x+1/6x^6+5x^5+2x^4-9x^3+7x^2-10x+2
inna [77]
(6 x^{6}+5x^{5}+2x^{4}-9x^{3}+7x^{2}-10x+2) / (3x+1)

We divide first number from first parenthesis with first number from second parenthesis. Then the resulting number we multiply by all numbers in second parenthesis and substract from first parenthesis.

6 x^{6}/3x = 2 x^{5} \\  \\ 6 x^{6}+5x^{5}+2x^{4}-9x^{3}+7x^{2}-10x+2 - 6 x^{6} -2 x^{5} = 3x^{5}+2x^{4}-9x^{3}+7x^{2}-10x+2\\

We repeat previous steps until we run out of numbers:
3x^{5}/3x=x^{4} \\ \\ 3x^{5}+2x^{4}-9x^{3}+7x^{2}-10x+2-3x^{5}-x^{4}= \\ \\ x^{4}-9x^{3}+7x^{2}-10x+2 \\ \\ \\ x^{4}/3x= \frac{1}{3} x^{3} \\ \\ x^{4}-9x^{3}+7x^{2}-10x+2-x^{4}- \frac{1}{3} x^{3}= \\ \\ - \frac{28}{3} x^{3}+7x^{2}-10x+2 \\ \\ \\ - \frac{28}{3} x^{3}/3x= - \frac{28}{9} x^{2} \\ \\ - \frac{28}{3} x^{3}+7x^{2}-10x+2+ \frac{28}{3} x^{3}+ \frac{28}{9} x^{2} = \\ \\ \frac{91}{9} x^{2}-10x+2
\frac{91}{9} x^{2}/3x=\frac{91}{27} x \\ \\ \frac{91}{9} x^{2}-10x+2-\frac{91}{9} x^{2}-\frac{91}{27} x= \\ \\ -\frac{361}{27} x+2 \\ \\ \\ -\frac{361}{27} x/3x=-\frac{361}{81} \\ \\ -\frac{361}{27} x+2+\frac{361}{27}x+\frac{361}{27}= \\ \\ \frac{415}{27}

We are left with a number that has no x inside. This is remainder.
The final solution is sum of all these solutions and remainder:
(2 x^{5}+x^{4}+\frac{1}{3} x^{3} - \frac{28}{9} x^{2} +\frac{91}{27} x)+(-\frac{361}{81} )
6 0
3 years ago
2x + 3y = 17<br> 5x + 6y = 32<br><br> Usibg method if elimination
lions [1.4K]

Answer:

Solution (-2, 7)

Step-by-step explanation:

2x + 3y = 17      (1)

5x + 6y = 32    (2)

Using elimination method

Multiply (-2) to the equation (1)

-4x - 6y = -34  

Now you have 2 new equations

-4x - 6y = -34

5x + 6y = 32

----------------------------Add

x = -2

Substitute x = -2 into 2x + 3y = 17

2(-2) + 3y = 17

- 4 + 3y = 17

3y = 21

 y = 7

Solution (-2, 7)

6 0
3 years ago
Area of shaded segment​
Juliette [100K]

Answer:

N/A

Step-by-step explanation:

Which area of shaded segment?

4 0
3 years ago
Read 2 more answers
Is the answer 2 to this question?
iragen [17]

Answer:

its 8

Step-by-step explanation:

use ratio solution ..

2 shampoo : 9 water

8 shampoo : 36 water

9x4 = 36

same goes too shampoo.. it needs to be multiplied with 4 as to get 36 water u multiplied 9 with 4

6 0
3 years ago
Read 2 more answers
Help me please I need the answer ASAP
ozzi

a

10.95x + 2.50, but for eight books so 10.95 x 8 + 2.50 = 90.10

b

12.50x + 4.50, but for six books so 12.50 x 6 + 4.50 = 79.50

c

To do this, we can set them both equal to each other and if x is a whole number of books, then they do pay the same amount. If x is a decimal, then they don't pay the same amount.

10.95x + 2.50 = 12.50x + 4.50

2.50 - 4.50 = 12.50x - 10.95x

-2 = 1.55x

This can never be a whole number, so therefore members and non-members can never pay the same amount for an order of x books.

8 0
3 years ago
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