2 years ago

9. Which equation is represented by the table?

Mathematics

1 answer:

mixas84 [53]2 years ago

4 0

Answer:

#2.

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 $b=-3$ .

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3 years ago

Kathy distributes jelly beans among her friends. Alia gets 4² fewer beans than kelly who gets 3³ jelly beans. how many jelly bea

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4^2= 16
3^3= 27
27-16=11 so Alia has 11 jelly beans

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Chile all 10 QuEsTiOns. My brain died.

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718

Step-by-step explanation:

just add the two numbers

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149.333333333... is your answer

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