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kicyunya [14]
3 years ago
9

(05.01) 4^x = 8^x − 1 a. x=3/4 b. x=1 c. x=3 d. x=6 Algebra 2

Mathematics
2 answers:
Virty [35]3 years ago
5 0

Answer:

c. x=3

Step-by-step explanation:

4^x = 8^(x − 1)

4 = 2^2

8 = 2^3

2^2^x = 2^3^(x-1)

We know that a^b^c = a^(b*c)

2^(2x) = 2^(3*(x-1))

2^(2x) = 2^(3x-3)

The bases are the same so the exponents are the same

2x = 3x-3

Subtract 3x from each side

2x-3x = 3x-3-3x

-x = -3

x =3

Romashka-Z-Leto [24]3 years ago
4 0

Answer:

c. x = 3

Step-by-step explanation:

4^x = 8^(x-1)

2²^x = 2³^(x-1)

2^(2x) = 2^(3x-3)

2x = 3x - 3

x = 3

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Step-by-step explanation:

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y

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y

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−

y

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6 0
3 years ago
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Which expression is equivalent to 8-3?
Ostrovityanka [42]
-3 + 8 would be an option
6 0
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The time required to do a job varies inversely as the number of people working. It takes 5hr for 7 bricklayers to build a park w
ExtremeBDS [4]

<u>Answer</u>

3.5 hours.


<u>Explanation</u>

The first step is to calculate the constant of proportionality.

t ∝ 1/n

t = k/n   Where t = time, K= constant and n = number of people

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6 0
3 years ago
A state is considering license plates that have two digits followed by four letters. Assuming no combinations are excluded, how
love history [14]

Answer:

32,292,000

Step-by-step explanation:

In your question, it asks how many license plate combinations we could make WITHOUT repeats.

We need some prior knowledge to answer this question.

We know that:

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  • We can make 10 digits (0 - 9)

With the information we know above, we can solve the question.

Since we CAN'T have repeats, we would be excluding a letter or number for each license plate.

We're going to need to multiply each "section" in order to find how many combinations of license plates we can make.

We decrease by one letter and one number in each section since we can't have repeats.

Now, we can solve.

Work:

26*25*24*23*10*9 = 32,292,000

When you're done multiplying, you should get 32,292,000.

This means that there could be 32,292,000 different combinations of license plates.

<h3>I hope this helps you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>
8 0
3 years ago
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The length of a rectangle is twice its width. if the area of the rectangle is 128 ft2 , find its perimeter.
kupik [55]
Length(l)= 2w
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Answer:
The Perimeter of this rectangle is 48 feet.


Leave any questions you still have in the comments below please! Thank you! Hope this helped! :)
5 0
3 years ago
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