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3 years ago

If f(1) = 160 and f(n + 1) = –2f(n), what is f(4)?

Mathematics

2 answers:

lions [1.4K]3 years ago

5 0

Answer:

-1280

Step-by-step explanation:

There are 2 ways you could do this. You could just do the question until you come to the end of f(4). That is likely the simplest way to do it.

f(1) = 160

f(2) = - 2 * f(1)

f(2) = -2*160

f(2) = -320

f(3) = -2 * f(2)

f(3) = -2 * - 320

f(3) = 640

f(4) = - 2 * f(3)

f(4) = - 2 * 640

f(4) = - 1280

I don't know that you could do this explicitly with any real confidence.

Gre4nikov [31]3 years ago

3 0

$f(1)=160\\f(n+1)=-2f(n)\\\\f(2)=-2\cdot 160=-320\\f(3)=-2\cdot(-320)=640\\f(4)=-2\cdot 640=-1280$

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Answer:

The answer is "2x-y=4"

Step-by-step explanation:

Given:

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$\to y=mx+c$

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$\to y=2x-4\\$

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$\to y-2x= 2x-4-2x\\\\\to y-2x=-4\\\\\boxed{\boxed{2x-y=4}}\\\\$

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Step-by-step explanation:

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3 years ago

A bag contains 150 marbles. Some are blue, and the rest are white. There are 21 blue marbles for every 4 white marbles. How many

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Given:

Total number of marbles in the bag = 150

There are 21 blue marbles for every 4 white marbles.

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The number of blue marbles in the bag.

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Let the number of blue marbles be 21x and white marbles be 4x.

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Which ofnthe following shows the correct use of distributive property when solving 1/3(33-x)=135,2

madam [21]

Answer: OPTION C.

Step-by-step explanation:

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In order to solve this exercise you need to remember the following:

1. The Distributive property states that:

$a(b+c)=ab+ac\\\\a(b-c)=ab-ac$

2. The multiplication of signs:

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$\frac{1}{3}(33-x)=135.2$

Since you need to solve for the variable "x" in order to find its value, the first step you must apply in the in the procedure is to eliminate the parentheses applying the Distributive property.

Then, you must multiply everyting inside the parentheses by $\frac{1}{3}$ .

Therefore,based on the explanation, you know that the correct use of the Distributive property is:

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