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kherson [118]
3 years ago
9

Find the next three terms of the sequence 80, –160, 320, –640

Mathematics
1 answer:
serious [3.7K]3 years ago
7 0

Answer:

100 and 330

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
Use the net to find the surface of the cereal box<br><br><br> Total surface area:
ikadub [295]
The answer is 192 surface of the cereal box
8 0
3 years ago
-6p - 20 = -2p +4(1 - 3p)
kirza4 [7]

Answer:

p = 3

Hope this helps

7 0
3 years ago
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You are cutting pieces of fabric for a craft project. You need three pieces that measure 6 2/3 inches, 4 1/2inches, and 3 5/8inc
Westkost [7]

Answer:

You need 14 19/24 inches of fabric

Step-by-step explanation:

We'll need a common denominator between 2/3, 1/2, and 5/8. 24 is the least (lowest) common denominator.

3 x 8 = 24, so we multiply the numerator and denominator by 8 and  6 2/3 becomes 6 16/24ths

2 x 12 = 24, so we multiply the numerator and denominator by 12, and 4 1/2 becomes 4 12/24

8 x 3 = 24, so we multiply the numerator and denominator by 3, and 3 5/8 becomes 3 15/24.

Now we are adding 6 16/24 + 4 12/24 + 3 15/24

6 16/24 + 4 12/24 + 3 15/24 = 6 + 4 + 3 + 16/24 + 12/24 + 15/24

= 13 + 43/24 = 14 19/24

Please lmk if  you have questions.

7 0
3 years ago
What can you do to be sure you sell the most muffins possible
Vinvika [58]
To make sure you sell the most muffins possible, make a lot, make sure they are ready, taste only one, and set it up in a place popular but make sure that you are not trespassing.
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