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ollegr [7]
2 years ago
8

If a= 2^x and b =2^x+1; show that: 8a^3 / b^3 = 2^x+1​

Mathematics
1 answer:
kkurt [141]2 years ago
7 0

Step-by-step explanation:

Given that:

a = 2ˣ

b = 2ˣ⁺¹ = 2ˣ * 2¹ = 2.2ˣ

Now,

{(8a³)/b²}

Substitute the value of x and y in expression then

= [{8(2ˣ)³}/(2.2ˣ)²]

= [(8*2³ˣ)/{2² * (2ˣ)²}]

= {(8*2³ˣ)/(4 * 2²ˣ)}

[since, (aᵐ)ⁿ = aᵐⁿ]

= {(2 * 2³ˣ)/2²ˣ}

= {(2 * 2²ˣ * 2ˣ)/2²ˣ}

[since (2a = a+a, that means 3x = 2x + x)]

= 2 * 2ˣ

= 2ˣ⁺¹

[since (aᵐ * aⁿ = aᵐ+ⁿ)]

<u>Answer:</u> Therefore, {(8a³)/b²} = 2ˣ⁺¹ .

Please let me know if you have any other.

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Step-by-step explanation:

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So put a dot at the arrow pointing to X and then trace the line and the arrow to infinity dark.

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3 years ago
What’s the total badges and buy all the Boy Scouts<br> 26<br> 25<br> 52<br> 78
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78 . Hope this was helpful
4 0
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Luis earns a base salary of $150.00 every week with an additional 14% percent commission on everything he sells. Luis sold $6050
timama [110]

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4 0
3 years ago
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ser-zykov [4K]

Answer: For the first one, 12.5% chance

Step-by-step explanation:

The probability of flipping a coin and getting tails is 50%. Then, if you were to flip two coins and get both tails, you would have to divide the 50% by 2, which is equals to 25% of flipping two coins and getting them both tails.

So now we know...

Flipping one coin gives you 50% tails and 25% of flipping two coins and getting two tails

So now, we do it again with the third coin. We would divide the 25% by 2, which will get us to a 12.5% of getting all tails, or in fractions, 1/8

I’m not exactly sure about the other ones but I hope you found this one helpful!

4 0
3 years ago
Read 2 more answers
1. Write the slope-intercept form of the equation that passes through the point (0, 1) and is parallel to the line y = 3x - 5
gregori [183]

Answer:

y = 3x + 1

Step-by-step explanation:

If two lines are parallel to each other, they have the same slope.

The first line is Y = 3X - 5. Its slope is 3. A line parallel to this one will also have a slope of 3.

Plug this value (3) into your standard point-slope equation of y = mx + b.

y = 3x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (0, 1). Plug in the x and y values into the x and y of the standard equation.

1 = 3(0) + b

To find b, multiply the slope and the input of x (0)

1 = 0 + b

Now, add 0 to both sides to isolate b.

1 = b

Plug this into your standard equation.

y = 3x + 1

This equation is parallel to your given equation (y = 3x - 5) and contains point (0, 1)

Hope this helps!

3 0
3 years ago
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