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Leokris [45]
3 years ago
5

4^4x-5= 8^3x-4 solve

Mathematics
1 answer:
Alexxandr [17]3 years ago
8 0

4^{4x-5}=8^{3x-4}\\\\(2^2)^{4x-5}=(2^3)^{3x-4}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{2(4x-5)}=2^{3(3x-4)}\iff2(4x-5)=3(3x-4)\qquad\text{use distributive property}\\\\(2)(4x)+(2)(-5)=(3)(3x)+(3)(-4)\\\\8x-10=9x-12\qquad\text{add 10 to both sides}\\\\8x=9x-2\qquad\text{subtract 9x from both sides}\\\\-x=-2\to \boxed{x=2}

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Lucy places five cards that are labeled 1 to 6 face down on the table and mixes them up. What is the likelihood that her friend
melisa1 [442]

Answer:

1/2 or 0.5

Step-by-step explanation:

Within 1 to 6,

Even numbers are 2, 4, 6

While odd numbers are 1, 3, 5

Assuming cards are mixed up properly and the probabilities of drawing a card with any number from 1 to 6 is constant,

Probability of drawing even number cards = number of units of even number cards ÷ total number of units of cards from 1 to 6 aka total number of cards

= 3 / 6

= 1 / 2

4 0
3 years ago
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OLEGan [10]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
Read 2 more answers
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nydimaria [60]

Answer: $112.50 ; $4612.5

Step-by-step explanation:

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b) Determine the total amount Christine will repay the bank at the end of 1 year.

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7 0
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(15 points please help)
dsp73
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3 years ago
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Alla [95]
-3x-5+2x=6
2x-3x-5=6
-1x-5=6
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x=11
an equivilent equaiton is x=11
7 0
3 years ago
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