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agasfer [191]
3 years ago
7

If

"latex-formula">, prove that f(x) + f(x+1)=4f(x)
Mathematics
1 answer:
SOVA2 [1]3 years ago
8 0

$f(x)+f(x+1) \stackrel{1}{=} 3^x+3^{x+1} \stackrel{2}{=} 3^x+3^x\cdot3^1\stackrel{3}{=}3^x+3\cdot3^x\stackrel{4}{=}4\cdot3^x\stackrel{5}{=}4\cdot f(x)

1) Substitution from definition.

2) We use $x^{a+b}=x^a\cdot x^b

3) We are changing the order of 3 and 3^x.

4) We add 1 and 3 3^x and we get 4\cdot 3^x

5) Substitution from definition (but the other way than at the beginning).

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liberstina [14]
N=1/100 this is the answer
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3 years ago
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I want to know the work of this, like the process. Please
pogonyaev
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lilavasa [31]

Answer:

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4 0
3 years ago
A company recently downsized its number of employees by 30​%. If there are still 70 ​employees, how many employees were there pr
wolverine [178]
Hello there! Given there are 70 employees after downsizing by 30%, let x equal the number of employees prior to the layoffs:

70 would have to be 70% of x.

To find what 70 is 70% of, we can multiply by 100 because 100 is the base denominator:

70 • 100 = 7,000

Given this equation, we can now divide our result by 70 to get what the amount of employees before the layoffs is:

7,000 divided by 70 gives us 100.

x = 100

Now, we can plug our answer in to see if it makes sense.

Does 70/100 represent 70%?

Yes, it does. 70/100 reduces to 7/10, and by adding 3/10 to our 70%, we get the initial amount of employees.

Your final answer: There were 100 employees prior to the layoffs. If you have any extra questions, let me know and I will gladly assist you.
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1 year ago
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nika2105 [10]

Answer:

452.39

Step-by-step explanation:

to find the surface area of a sphere all you need is the radius (half the diameter) and assuming the sphere touches both top and bottom that makes the radius 6 so your equation is

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then rounded up to 452.39, that is your answer

4 0
3 years ago
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