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Orlov [11]
2 years ago
12

U is the set of integers. G is the set of negative integers. What is the complement of set G in universive U?

Mathematics
1 answer:
harina [27]2 years ago
6 0

Answer:

Wouldn't the answer be C) Positive Integers?

Step-by-step explanation: Because the complement of a set include all of the elements not included in the indicated set. I hope I'm making some sense. :)

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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
Salesman really gets fixed salary of $2000 per month and a commission of 2% on sale if total sale is $30,000 for the month find
Sergio039 [100]

Answer:

The amount earned is 2,600

Step-by-step explanation:

In order to find the commission amount, start by multiplying the percentage by the amount sold. Then to find the total amount, add the flat rate.

30,000*.02 = 600

Then add the flat rate

600 + 2,000 = 2,600

5 0
3 years ago
Read 2 more answers
HELP!!! I CANT SEEM TO GET IT RIGHT!
miss Akunina [59]

Answer:

The speed is 16 kilometers per hour.

The cyclist will travel 80 kilometers in 5 hours.

4 0
2 years ago
Which of the following options results in a graph that shows exponential growth?
poizon [28]

Answer:

f(x)=0.7(5)^x

Step-by-step explanation:

\text{Exponential function: }y=a\cdot b^x

It is two types of function.

  • Exponential Growth: If function increase as value of x increase.

In this case, a>0 and b>1

  • Exponential decay: If function decrease as value of x increase.

In this case, a>0 and 0<b<1

We need to choose exponential growth function.

\text{Exponential Growth function: }f(x)=0.7(5)^x

Here a=0.75>0 and b=5>1

Therefore, This function is exponential growth.

7 0
3 years ago
Read 2 more answers
Paige and Cindy have been saving money. Paige started with $350 in her savings and deposits $25 into her savings each week. Cind
LUCKY_DIMON [66]

Answer:

D. 11

Step-by-step explanation:

T = total savings

w = number of weeks

Paige:

T = 350 + 25w

Cindy:

T = 190 + 40w

In how many weeks will Cindy have more money in her savings than Paige

Equate the total savings of both of them

350 + 25w = 190 + 40w

Collect like terms

350 - 190 = 40w - 25w

160 = 15w

w = 160/15

w = 10.67

Approximately,

In 11 weeks, will Cindy have more money in her savings than Paige

Check:

Paige:

T = 350 + 25w

= 350 + 25(11)

= 350 + 275

= 625

Cindy:

T = 190 + 40w

= 190 + 40(11)

= 190 + 440

= 630

3 0
3 years ago
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