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mihalych1998 [28]
3 years ago
11

I need some help with this.

Mathematics
1 answer:
ohaa [14]3 years ago
4 0

Answer:

that is crazy i have not idea what the answer is

Step-by-step explanation:

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Find the value of x² - x+1 when x=√3 -1, in the form a+b√3 where a and b are integers​
lidiya [134]

Answer:

6-3\sqrt{3}

If you compare this to a+b\sqrt{3}, then a=6 and b=-3.

Step-by-step explanation:

We are given x=\sqrt{3}-1 and we are asked to find the value of x^2-x+1.

So we will need to find x^2.

x=\sqrt{3}-1

Square both sides:

x^2=(\sqrt{3}-1)^2

Expand using identity: (x-a)^2=x^2-2ax+a^2.

x^2=(\sqrt{3})^2-2(\sqrt{3})(1)+1^2

x^2=3-2\sqrt{3}+1

x^2=4-2\sqrt{3}

Let's go back to the full x^2-x+1.

x^2-x+1

(4-2\sqrt{3})-(\sqrt{3}-1)+1

4-2\sqrt{3}-\sqrt{3}+1+1

6-3\sqrt{3}

If you compare this to a+b\sqrt{3}, then a=6 and b=-3.

5 0
4 years ago
Which property is represented below? <br> (7 * 3) * 8 = 8 * (7 * 3)
Marina86 [1]

9514 1404 393

Answer:

  commutative property

Step-by-step explanation:

The <em>commutative property of multiplication</em> lets you swap the order of the operands (7*3) and 8 to make them have the order 8 and (7*3).

6 0
3 years ago
Aggie is an australian exchange sudent in china, and she currenly has 14,000 yuan in her bank account. If the exchange rate chan
Alenkasestr [34]

Step-by-step explanation:

Amount in Aggie bank account = 14,000 yuan

Initial exchange rate:

1 Australian dollar = 6.21 yuan

Initial amount in Australian dollars will be;

x aus dollar = 14,000 yuan

cross multiply

6.21x = 14,000

x = 14,000/6.21

x =  2,254.428 australian dollars

If the exchange rate increases to 6.37 Chinese yuan, her new balance in Australian dollars will be y;

1 Australian dollar = 6.37 yuan

y Australian dollar = 14,000 yuan

cross multiply

6.37y = 14,000

x = 14,000/6.37

y = 2,197.80 Australian dollars

The change in her account balance due to increase in exchange rate is y-x

y-x = 2,197.80 - 2,254.428

y-x = -56.626 aus dollars

This negative values shows a decrease in her account balance by 56.626 aus dollars due to increase in the exchange rate.

8 0
4 years ago
The table shows children’s ages and the number of servings of vegetables the children ate each week.
nirvana33 [79]
Part A: View attachment 1

Part B: View attachment 2.

No, the points do not follow a linear (a straight line) pattern. The correlation is negative.


5 0
3 years ago
Read 2 more answers
PLEASE HELP<br><br> Why are some numbers not multiples of other numbers?
dexar [7]

Answer:

If it's not a multiple of another number then for sure it's a factor

8 0
3 years ago
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