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3 years ago

Need answer please help

Mathematics

1 answer:

lord [1]3 years ago

7 0

Answer:

○ -3 ≤ x ≤ 3

Step-by-step explanation:

○ Open Circle → <, >

● Close Circle → ≤, ≥

Since both circles are closed, they both receive the less than or equal to symbol.

I am joyous to assist you anytime.

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18 What is the value of y? 10 2y + 4 10 + 2x 5

vredina [299]

Answer:

i got 4 but idk if its roght srry give it an try

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3 years ago

How much sugar does the recipe for a full batch of cookies call for

olchik [2.2K]

Answer:

Step-by-step explanation:

2/3 cup is 1/4 of recipe to total, then X would be 4/4 of the recipe.

2/3 X

------ = --------

1/4 1

Cross multiply and you get x/4 = 2/3, simplfy to 3x=8, divide by 3 and you get 8/3 of a cup for the whole recipe. 8/3 is the same as 2 and 2/3 cup

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3 years ago

Without a calculator how would you solve this?

mina [271]

Answer:

the largest number that is less than (2+√3)^6 is 2701

Step-by-step explanation:

$\bigstar \ (2+\sqrt{3})^6= \\\\C{}^{0}_{6}2^{6}+C{}^{1}_{6}2^{5}\sqrt{3}^1+C{}^{2}_{6}2^{4}\sqrt{3}^2+C{}^{3}_{6}2^{3}\sqrt{3}^3+C{}^{4}_{6}2^{2}\sqrt{3}^4+C{}^{5}_{6}2^{1}\sqrt{3}^5+C{}^{6}_{6}\sqrt{3}^6$

$=64+192\sqrt{3}+720 +480\sqrt{3} +540+108\sqrt{3} +27\\=1351+780\sqrt{3}$

$\bigstar\ (2-\sqrt{3} )^6 =\\\\1351-780\sqrt{3}$

$\bigstar\ \bigstar\ (2+\sqrt{3} )^6+(2-\sqrt{3} )^6 =\\\\1351+780\sqrt{3}+1351-780\sqrt{3}$

$\Longrightarrow(2+\sqrt{3} )^6+(2-\sqrt{3} )^6 =2702$

$\Longrightarrow(2+\sqrt{3} )^6 =2702-(2-\sqrt{3} )^6$

$0 < \left( 2-\sqrt{3} \right) < 1 \Longrightarrow 0 < \left( 2-\sqrt{3} \right)^{6} < 1 \Longrightarrow-1 < \left( 2-\sqrt{3} \right)^{6} < 0$

$\Longrightarrow2702-1 < 2702-\left( 2-\sqrt{3} \right)^{6} < 2702+0$

$\Longrightarrow 2701 < \left( 2+\sqrt{3} \right)^{6} < 2702$

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2 years ago

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garik1379 [7]

The answer is C
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