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aalyn [17]
3 years ago
7

27^x = 9^x − 4 Question 1 options: x = 8 x = 4 x = −4 x = −8

Mathematics
1 answer:
Mariulka [41]3 years ago
4 0

Answer:

x = -8

Step-by-step explanation:

Given the equation:

27^x=9^{x-4}

Note that

27=3^3\\ \\9=3^2,

then

27^x=(3^3)^x=3^{3x}\\ \\9^{x-4}=(3^2)^{x-4}=3^{2(x-4)}

Rewrite the equation as

3^{3x}=3^{2(x-4)},

then

3x=2(x-4)\\ \\3x=2x-8\\ \\3x-2x=-8\\ \\x=-8

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3 years ago
The equations of four lines are given. Identify which lines are perpendicular.
erma4kov [3.2K]

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3 0
2 years ago
Pls Help!
mr Goodwill [35]

Answer:

34 Braids

Step-by-step explanation:

.85 per braid means 1 is 85 cents, 2 is $1.70 and so on.  So normally you would just divide the total amount of money, so for instance if you had $2.55 you would be able to afford 3 braids, since 3 braids cost $2.55.  in fact $2.56, $2.57 aaaaaaaaaaall the way up to $3.39 would be 3 braids, then $3.40 would be 4 braids.

Here though you first pay 3 dollars.  so you need 3 first, then an extra 85 cents to get 1 braid.  2 braids is 3 dollars plus 1.70, 3 braids is 3 + 2.55 4 braids is 3 + 3.40 and so on.

So what you want to do is first take away that 3 dollars you need before the braids, then divide by .85.  for instance $6.40 would get you 4 braids as I showed bcause 3 + 3.40 = 6.40.  now 6.40 - 3 = 3.40 then 3.40 divided by .85 = 4

The problem says we start with$32, so lets do those steps.  first 32 - 3 = 29.  then 29 divided by .85 = 34.11.  well it's not  whole number so lets try something.  34 braids would be 3 + .85*34 = 31.90 and 35 braids would be 32.75  So 31.90, 31.91 aaaaaaaaall the way up to 32.74 would be 34 braids then 32.75 would be 35 braids.  well, $32 is in that in between space, so it is 34 braids.

When I did 32 - 3 = 29.  then 29 divided by .85 = 34.11 that 34.11 does actually tell us we wouldn't get to 35, I just wanted to make it very clear.  so the answer is 34 braids.

7 0
3 years ago
PLS HELP ASAP WILL MARK BRAINLIEST
hodyreva [135]

Answer:

N1ga figure it out

Step-by-step explanation:

6 0
2 years ago
Anyone pls at least answer one question asap thks
Yuki888 [10]

Step-by-step explanation:

only 10 and 12. luck to you

6 0
3 years ago
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