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IrinaK [193]
4 years ago
12

3(3x+2)<8(x+2)<6(5x-12) =

Mathematics
2 answers:
iren [92.7K]4 years ago
8 0
3(3x+2) < 8(x+2) < 6(5x-12)\\\\9x+6 < 8x+16 < 30x-72\\\\\#1\\9x+6 < 8x+16\ \ \ \ \ |subtract\ 6\ from\ both\ sides\\9x < 8x+10\ \ \  \ \ \ \ |subtract\ 8x\ from\ both\ sides\\x < 10\\\\\#2\\8x+16< 30x-72\ \ \ \ \ \ \ \ |subtract\ 16\ from\ both\ sides\\8x < 30x-88\ \ \  \ \ \ \  \ \ |subtract\ 30x\ from\ both\ sides\\-22x < -88\\22x > 88\ \ \ \ \ \ \ \ \ |divide\ both\ sides\ by\ 22\\x > 4\\\\From\ \#1\ \cap\ \#2\ we\ have\ 4 < x < 10\Rightarrow x\in(4;\ 10)
kolezko [41]4 years ago
7 0
3(3x+2) < 8x + 16 => x < 10 
8x + 16 < 30x - 72  => 22x > 88 => x > 4
solution is  4  < x < 10
 
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3 years ago
Hi! ❤️ , im looking for some help here. ill give brainliest if able to.
Alexeev081 [22]

Answer:

A. 2^11

Step-by-step explanation:

(They are basically asking what's 2^4 × 2^7, but with more words.)

I usually do each exponent individually:

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2^7 is the same as 2 × 2 × 2 × 2 × 2 × 2 × 2 = 128

Then just multiply 128 and 16 to get 2,048, and see which option also gives you 2,048.

BUT, you can also:

(Combine the exponents together to get your answer. Just remember that if it's multiplication you add them, and if it's division you subtract them.)

2^4 × 2^7

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Hope this helps friend :)

The last part I learned from another user, while answering one of your other questions. I personally find this mind blowing, lol.

4 0
3 years ago
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Answer:

<JKL=123

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